TSTP Solution File: GRP776+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP776+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 8.15s 2.33s
% Output : CNFRefutation 8.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of clauses : 81 ( 28 unt; 0 nHn; 76 RR)
% Number of literals : 151 ( 67 equ; 74 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_17,plain,
( h(f(X1))
| ~ g(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_17) ).
cnf(i_0_18,plain,
sum(f(X1),f(X2)) = f(product(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_18) ).
cnf(i_0_6,plain,
( product(X1,eh) = X1
| ~ g(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_6) ).
cnf(i_0_3,plain,
g(eh),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_3) ).
cnf(i_0_10,plain,
( h(opp(X1))
| ~ h(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_10) ).
cnf(i_0_11,plain,
h(eg),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_11) ).
cnf(i_0_15,plain,
( sum(X1,opp(X1)) = eg
| ~ h(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_15) ).
cnf(i_0_12,plain,
( sum(sum(X1,X2),X3) = sum(X1,sum(X2,X3))
| ~ h(X3)
| ~ h(X2)
| ~ h(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_12) ).
cnf(i_0_9,plain,
( h(sum(X1,X2))
| ~ h(X2)
| ~ h(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_9) ).
cnf(i_0_4,plain,
( product(product(X1,X2),X3) = product(X1,product(X2,X3))
| ~ g(X3)
| ~ g(X2)
| ~ g(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_4) ).
cnf(i_0_20,negated_conjecture,
( g(esk1_0)
| f(eh) != eg ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_20) ).
cnf(i_0_14,plain,
( sum(X1,eg) = X1
| ~ h(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_14) ).
cnf(i_0_5,plain,
( product(eh,X1) = X1
| ~ g(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_5) ).
cnf(i_0_2,plain,
( g(inv(X1))
| ~ g(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_2) ).
cnf(i_0_8,plain,
( product(inv(X1),X1) = eh
| ~ g(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_8) ).
cnf(i_0_13,plain,
( sum(eg,X1) = X1
| ~ h(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_13) ).
cnf(i_0_16,plain,
( sum(opp(X1),X1) = eg
| ~ h(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_16) ).
cnf(i_0_19,negated_conjecture,
( f(eh) != eg
| f(inv(esk1_0)) != opp(f(esk1_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_8zperra/lgb.p',i_0_19) ).
cnf(c_0_39,plain,
( h(f(X1))
| ~ g(X1) ),
i_0_17 ).
cnf(c_0_40,plain,
sum(f(X1),f(X2)) = f(product(X1,X2)),
i_0_18 ).
cnf(c_0_41,plain,
( product(X1,eh) = X1
| ~ g(X1) ),
i_0_6 ).
cnf(c_0_42,plain,
g(eh),
i_0_3 ).
cnf(c_0_43,plain,
( h(opp(X1))
| ~ h(X2) ),
i_0_10 ).
cnf(c_0_44,plain,
h(eg),
i_0_11 ).
cnf(c_0_45,plain,
( h(sum(f(X1),f(X2)))
| ~ g(product(X1,X2)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
product(eh,eh) = eh,
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,plain,
( sum(X1,opp(X1)) = eg
| ~ h(X1) ),
i_0_15 ).
cnf(c_0_48,plain,
( sum(sum(X1,X2),X3) = sum(X1,sum(X2,X3))
| ~ h(X3)
| ~ h(X2)
| ~ h(X1) ),
i_0_12 ).
cnf(c_0_49,plain,
h(opp(X1)),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,plain,
( h(sum(X1,X2))
| ~ h(X2)
| ~ h(X1) ),
i_0_9 ).
cnf(c_0_51,plain,
h(sum(f(eh),f(eh))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_42])]) ).
cnf(c_0_52,plain,
sum(f(eh),f(eh)) = f(eh),
inference(spm,[status(thm)],[c_0_40,c_0_46]) ).
cnf(c_0_53,plain,
( sum(X1,sum(X2,opp(sum(X1,X2)))) = eg
| ~ h(X2)
| ~ h(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]),c_0_50]) ).
cnf(c_0_54,plain,
h(f(eh)),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
( product(product(X1,X2),X3) = product(X1,product(X2,X3))
| ~ g(X3)
| ~ g(X2)
| ~ g(X1) ),
i_0_4 ).
cnf(c_0_56,negated_conjecture,
( g(esk1_0)
| f(eh) != eg ),
i_0_20 ).
cnf(c_0_57,plain,
sum(f(eh),sum(f(eh),opp(f(eh)))) = eg,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_52]),c_0_54])]) ).
cnf(c_0_58,negated_conjecture,
( product(product(X1,X2),esk1_0) = product(X1,product(X2,esk1_0))
| f(eh) != eg
| ~ g(X2)
| ~ g(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,plain,
( sum(X1,eg) = X1
| ~ h(X1) ),
i_0_14 ).
cnf(c_0_60,plain,
sum(f(eh),eg) = eg,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_47]),c_0_54])]) ).
cnf(c_0_61,negated_conjecture,
( product(esk1_0,eh) = esk1_0
| f(eh) != eg ),
inference(spm,[status(thm)],[c_0_41,c_0_56]) ).
cnf(c_0_62,negated_conjecture,
( product(product(X1,esk1_0),esk1_0) = product(X1,product(esk1_0,esk1_0))
| f(eh) != eg
| ~ g(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_56]) ).
cnf(c_0_63,plain,
f(eh) = eg,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_54])]) ).
cnf(c_0_64,plain,
( product(eh,X1) = X1
| ~ g(X1) ),
i_0_5 ).
cnf(c_0_65,plain,
( h(sum(f(esk1_0),f(eh)))
| f(eh) != eg ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_61]),c_0_56]) ).
cnf(c_0_66,plain,
( sum(f(esk1_0),f(eh)) = f(esk1_0)
| f(eh) != eg ),
inference(spm,[status(thm)],[c_0_40,c_0_61]) ).
cnf(c_0_67,negated_conjecture,
( product(product(X1,esk1_0),esk1_0) = product(X1,product(esk1_0,esk1_0))
| ~ g(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).
cnf(c_0_68,plain,
( g(inv(X1))
| ~ g(X1) ),
i_0_2 ).
cnf(c_0_69,negated_conjecture,
( product(eh,esk1_0) = esk1_0
| f(eh) != eg ),
inference(spm,[status(thm)],[c_0_64,c_0_56]) ).
cnf(c_0_70,plain,
( h(f(esk1_0))
| f(eh) != eg ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,plain,
( product(product(inv(X1),esk1_0),esk1_0) = product(inv(X1),product(esk1_0,esk1_0))
| ~ g(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_72,plain,
( product(inv(X1),X1) = eh
| ~ g(X1) ),
i_0_8 ).
cnf(c_0_73,negated_conjecture,
product(eh,esk1_0) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_63])]) ).
cnf(c_0_74,negated_conjecture,
g(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_63])]) ).
cnf(c_0_75,plain,
sum(f(esk1_0),eg) = f(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_63]),c_0_63])]) ).
cnf(c_0_76,plain,
h(f(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_63])]) ).
cnf(c_0_77,plain,
product(inv(esk1_0),product(esk1_0,esk1_0)) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74])]) ).
cnf(c_0_78,plain,
sum(f(esk1_0),sum(eg,opp(f(esk1_0)))) = eg,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_75]),c_0_44]),c_0_76])]) ).
cnf(c_0_79,plain,
( sum(eg,X1) = X1
| ~ h(X1) ),
i_0_13 ).
cnf(c_0_80,plain,
( sum(opp(X1),X1) = eg
| ~ h(X1) ),
i_0_16 ).
cnf(c_0_81,plain,
( sum(X1,sum(X2,sum(X3,opp(sum(X1,sum(X2,X3)))))) = eg
| ~ h(X1)
| ~ h(X3)
| ~ h(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_48]),c_0_49])]),c_0_50]) ).
cnf(c_0_82,plain,
sum(f(inv(esk1_0)),sum(f(esk1_0),f(esk1_0))) = f(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_77]),c_0_40]) ).
cnf(c_0_83,plain,
sum(f(esk1_0),opp(f(esk1_0))) = eg,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_49])]) ).
cnf(c_0_84,plain,
( sum(f(eh),f(esk1_0)) = f(esk1_0)
| f(eh) != eg ),
inference(spm,[status(thm)],[c_0_40,c_0_69]) ).
cnf(c_0_85,plain,
( sum(opp(X1),sum(X1,X2)) = sum(eg,X2)
| ~ h(X2)
| ~ h(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_80]),c_0_49])]) ).
cnf(c_0_86,plain,
( sum(f(inv(esk1_0)),f(esk1_0)) = eg
| ~ h(f(inv(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_75]),c_0_76])]) ).
cnf(c_0_87,plain,
sum(eg,f(esk1_0)) = f(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_63]),c_0_63])]) ).
cnf(c_0_88,plain,
( sum(opp(f(inv(esk1_0))),eg) = f(esk1_0)
| ~ h(f(inv(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_76])]) ).
cnf(c_0_89,plain,
sum(opp(f(esk1_0)),eg) = sum(eg,opp(f(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_83]),c_0_49]),c_0_76])]) ).
cnf(c_0_90,negated_conjecture,
( f(eh) != eg
| f(inv(esk1_0)) != opp(f(esk1_0)) ),
i_0_19 ).
cnf(c_0_91,plain,
( sum(opp(opp(X1)),eg) = sum(eg,X1)
| ~ h(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_80]),c_0_49])]) ).
cnf(c_0_92,plain,
( opp(f(inv(esk1_0))) = f(esk1_0)
| ~ h(f(inv(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_88]),c_0_49])]) ).
cnf(c_0_93,plain,
sum(eg,opp(f(esk1_0))) = opp(f(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_89]),c_0_49])]) ).
cnf(c_0_94,plain,
( product(inv(X1),eh) = inv(X1)
| ~ g(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_68]) ).
cnf(c_0_95,negated_conjecture,
opp(f(esk1_0)) != f(inv(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_63])]) ).
cnf(c_0_96,plain,
( opp(f(esk1_0)) = sum(eg,f(inv(esk1_0)))
| ~ h(f(inv(esk1_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_89]),c_0_93]) ).
cnf(c_0_97,plain,
( h(sum(f(inv(X1)),f(eh)))
| ~ g(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_94]),c_0_68]) ).
cnf(c_0_98,plain,
( sum(f(inv(X1)),f(eh)) = f(inv(X1))
| ~ g(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_94]) ).
cnf(c_0_99,negated_conjecture,
~ h(f(inv(esk1_0))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_79]) ).
cnf(c_0_100,plain,
( h(f(inv(X1)))
| ~ g(X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_101,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_74])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP776+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n007.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 06:26:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.15/2.33 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.15/2.33 # No SInE strategy applied
% 8.15/2.33 # Trying AutoSched0 for 150 seconds
% 8.15/2.33 # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 8.15/2.33 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.15/2.33 #
% 8.15/2.33 # Preprocessing time : 0.012 s
% 8.15/2.33 # Presaturation interreduction done
% 8.15/2.33
% 8.15/2.33 # Proof found!
% 8.15/2.33 # SZS status Theorem
% 8.15/2.33 # SZS output start CNFRefutation
% See solution above
% 8.15/2.33 # Training examples: 0 positive, 0 negative
% 8.15/2.33
% 8.15/2.33 # -------------------------------------------------
% 8.15/2.33 # User time : 0.045 s
% 8.15/2.33 # System time : 0.006 s
% 8.15/2.33 # Total time : 0.051 s
% 8.15/2.33 # Maximum resident set size: 7128 pages
% 8.15/2.33
%------------------------------------------------------------------------------