TSTP Solution File: SYN415+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SYN415+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 : Thu Jul 21 04:52:08 EDT 2022
% Result : Theorem 7.72s 2.24s
% Output : CNFRefutation 7.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 13
% Syntax : Number of formulae : 67 ( 9 unt; 0 def)
% Number of atoms : 194 ( 47 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 244 ( 117 ~; 123 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 87 ( 46 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,negated_conjecture,
( f(esk2_0)
| esk3_1(X1) != X1
| ~ f(X2)
| ~ f(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8lflxwl3/lgb.p',i_0_7) ).
cnf(i_0_2,negated_conjecture,
( X1 = X2
| f(esk5_0)
| ~ f(X2)
| ~ f(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8lflxwl3/lgb.p',i_0_2) ).
cnf(i_0_8,negated_conjecture,
( f(esk2_0)
| f(esk3_1(X1))
| ~ f(X2)
| ~ f(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8lflxwl3/lgb.p',i_0_8) ).
cnf(i_0_4,negated_conjecture,
( f(esk4_0)
| f(esk5_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8lflxwl3/lgb.p',i_0_4) ).
cnf(i_0_9,negated_conjecture,
( f(esk1_0)
| esk3_1(X1) != X1
| ~ f(X2)
| ~ f(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8lflxwl3/lgb.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
( f(esk1_0)
| f(esk3_1(X1))
| ~ f(X2)
| ~ f(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8lflxwl3/lgb.p',i_0_10) ).
cnf(i_0_5,negated_conjecture,
( esk3_1(X1) != X1
| esk2_0 != esk1_0
| ~ f(X2)
| ~ f(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8lflxwl3/lgb.p',i_0_5) ).
cnf(i_0_1,negated_conjecture,
( X1 = X2
| esk5_0 = X3
| ~ f(X2)
| ~ f(X1)
| ~ f(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8lflxwl3/lgb.p',i_0_1) ).
cnf(i_0_6,negated_conjecture,
( f(esk3_1(X1))
| esk2_0 != esk1_0
| ~ f(X2)
| ~ f(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8lflxwl3/lgb.p',i_0_6) ).
cnf(c_0_20,negated_conjecture,
( f(esk2_0)
| esk3_1(X1) != X1
| ~ f(X2)
| ~ f(X1) ),
i_0_7 ).
cnf(c_0_21,negated_conjecture,
( X1 = X2
| f(esk5_0)
| ~ f(X2)
| ~ f(X1) ),
i_0_2 ).
cnf(c_0_22,negated_conjecture,
( f(esk2_0)
| f(esk3_1(X1))
| ~ f(X2)
| ~ f(X1) ),
i_0_8 ).
cnf(c_0_23,negated_conjecture,
( f(esk5_0)
| f(esk2_0)
| ~ f(X1)
| ~ f(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21])]),c_0_22]) ).
cnf(c_0_24,negated_conjecture,
( f(esk4_0)
| f(esk5_0) ),
i_0_4 ).
cnf(c_0_25,negated_conjecture,
( f(esk1_0)
| esk3_1(X1) != X1
| ~ f(X2)
| ~ f(X1) ),
i_0_9 ).
cnf(c_0_26,negated_conjecture,
( f(esk1_0)
| f(esk3_1(X1))
| ~ f(X2)
| ~ f(X1) ),
i_0_10 ).
fof(c_0_27,plain,
( ~ epred2_0
<=> ! [X2] : ~ f(X2) ),
introduced(definition) ).
cnf(c_0_28,negated_conjecture,
( f(esk2_0)
| f(esk5_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( f(esk5_0)
| f(esk1_0)
| ~ f(X1)
| ~ f(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_21])]),c_0_26]) ).
fof(c_0_30,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ f(X1)
| esk3_1(X1) != X1
| esk1_0 != esk2_0 ) ),
introduced(definition) ).
cnf(c_0_31,negated_conjecture,
( esk3_1(X1) != X1
| esk2_0 != esk1_0
| ~ f(X2)
| ~ f(X1) ),
i_0_5 ).
cnf(c_0_32,negated_conjecture,
( epred2_0
| ~ f(X1) ),
inference(split_equiv,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( X1 = X2
| esk5_0 = X3
| ~ f(X2)
| ~ f(X1)
| ~ f(X3) ),
i_0_1 ).
cnf(c_0_34,negated_conjecture,
( f(esk5_0)
| f(esk2_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_24]) ).
cnf(c_0_35,negated_conjecture,
( f(esk1_0)
| f(esk5_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_24]) ).
cnf(c_0_36,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_31,c_0_30]),c_0_27]) ).
cnf(c_0_37,negated_conjecture,
epred2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_24]),c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( esk5_0 = X1
| X2 != esk5_0
| ~ f(X1)
| ~ f(X2) ),
inference(ef,[status(thm)],[c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( esk2_0 = X1
| f(esk5_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( f(esk5_0)
| f(esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_24]) ).
cnf(c_0_41,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).
cnf(c_0_42,negated_conjecture,
( esk5_0 = X1
| ~ f(esk5_0)
| ~ f(X1) ),
inference(er,[status(thm)],[c_0_38]) ).
cnf(c_0_43,negated_conjecture,
( esk1_0 = esk2_0
| f(esk5_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( esk3_1(X1) != X1
| esk1_0 != esk2_0
| ~ f(X1) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_30]),c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( f(esk3_1(X1))
| esk2_0 != esk1_0
| ~ f(X2)
| ~ f(X1) ),
i_0_6 ).
cnf(c_0_46,negated_conjecture,
( esk1_0 = esk2_0
| esk5_0 = X1
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
( esk5_0 = X1
| ~ f(X2)
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_33])]),c_0_45]),c_0_46]) ).
cnf(c_0_48,negated_conjecture,
( esk5_0 = X1
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_24]),c_0_47]) ).
cnf(c_0_49,negated_conjecture,
( esk3_1(X1) = esk5_0
| f(esk2_0)
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_22]) ).
cnf(c_0_50,negated_conjecture,
( f(esk2_0)
| ~ f(X1)
| ~ f(X2)
| ~ f(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_49]),c_0_48]) ).
cnf(c_0_51,negated_conjecture,
( esk2_0 = esk5_0
| f(esk5_0)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_34]) ).
cnf(c_0_52,negated_conjecture,
( esk2_0 = esk5_0
| ~ f(X1)
| ~ f(X2)
| ~ f(X3) ),
inference(spm,[status(thm)],[c_0_48,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
( esk2_0 = esk5_0
| f(esk5_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_24]) ).
cnf(c_0_54,negated_conjecture,
( esk2_0 = esk5_0
| ~ f(X1)
| ~ f(X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_55,negated_conjecture,
( esk3_1(X1) = esk5_0
| f(esk1_0)
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_26]) ).
cnf(c_0_56,negated_conjecture,
( esk2_0 = esk5_0
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
( f(esk1_0)
| ~ f(X1)
| ~ f(X2)
| ~ f(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_55]),c_0_48]) ).
cnf(c_0_58,negated_conjecture,
esk2_0 = esk5_0,
inference(spm,[status(thm)],[c_0_56,c_0_53]) ).
cnf(c_0_59,negated_conjecture,
( esk1_0 = esk5_0
| ~ f(X1)
| ~ f(X2)
| ~ f(X3) ),
inference(spm,[status(thm)],[c_0_48,c_0_57]) ).
cnf(c_0_60,negated_conjecture,
( esk1_0 = esk5_0
| f(esk5_0) ),
inference(rw,[status(thm)],[c_0_43,c_0_58]) ).
cnf(c_0_61,negated_conjecture,
( esk1_0 = esk5_0
| ~ f(X1)
| ~ f(X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_62,negated_conjecture,
( esk1_0 = esk5_0
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_60]) ).
cnf(c_0_63,negated_conjecture,
( f(esk3_1(X1))
| esk1_0 != esk5_0
| ~ f(X2)
| ~ f(X1) ),
inference(rw,[status(thm)],[c_0_45,c_0_58]) ).
cnf(c_0_64,negated_conjecture,
esk1_0 = esk5_0,
inference(spm,[status(thm)],[c_0_62,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
( esk3_1(X1) != X1
| esk1_0 != esk5_0
| ~ f(X1) ),
inference(rw,[status(thm)],[c_0_44,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
( f(esk3_1(X1))
| ~ f(X2)
| ~ f(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]) ).
fof(c_0_67,plain,
( ~ epred4_0
<=> ! [X1] : ~ f(X1) ),
introduced(definition) ).
fof(c_0_68,plain,
( ~ epred5_0
<=> ! [X2] : ~ f(X2) ),
introduced(definition) ).
cnf(c_0_69,negated_conjecture,
( esk3_1(X1) != X1
| ~ f(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_64])]) ).
cnf(c_0_70,negated_conjecture,
( esk3_1(X1) = esk5_0
| ~ f(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_66]) ).
cnf(c_0_71,negated_conjecture,
( epred4_0
| ~ f(X1) ),
inference(split_equiv,[status(thm)],[c_0_67]) ).
cnf(c_0_72,negated_conjecture,
f(esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_58])]) ).
cnf(c_0_73,negated_conjecture,
( ~ epred5_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_48]),c_0_67]),c_0_68]) ).
cnf(c_0_74,negated_conjecture,
epred4_0,
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_75,negated_conjecture,
~ epred5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).
cnf(c_0_76,negated_conjecture,
~ f(X1),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_68]),c_0_75]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_72,c_0_76]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN415+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n015.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 : Tue Jul 12 04:29:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 7.72/2.24 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.72/2.24 # No SInE strategy applied
% 7.72/2.24 # Trying AutoSched0 for 150 seconds
% 7.72/2.24 # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_AE_Q4_CS_SP_S4c
% 7.72/2.24 # and selection function SelectCQPrecWNTNp.
% 7.72/2.24 #
% 7.72/2.24 # Preprocessing time : 0.020 s
% 7.72/2.24
% 7.72/2.24 # Proof found!
% 7.72/2.24 # SZS status Theorem
% 7.72/2.24 # SZS output start CNFRefutation
% See solution above
% 7.72/2.24 # Training examples: 0 positive, 0 negative
% 7.72/2.24
% 7.72/2.24 # -------------------------------------------------
% 7.72/2.24 # User time : 0.024 s
% 7.72/2.24 # System time : 0.007 s
% 7.72/2.24 # Total time : 0.031 s
% 7.72/2.24 # Maximum resident set size: 7124 pages
% 7.72/2.24
%------------------------------------------------------------------------------