TSTP Solution File: SYN353+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SYN353+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n009.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 04:51:35 EDT 2022
% Result : Theorem 8.35s 2.42s
% Output : CNFRefutation 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of clauses : 48 ( 6 unt; 21 nHn; 32 RR)
% Number of literals : 119 ( 0 equ; 49 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 111 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_17,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1)
| ~ big_f(esk1_0,esk1_0,esk2_3(X2,X3,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6p414y83/input.p',i_0_17) ).
cnf(i_0_16,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X3,X2,esk2_3(X2,X3,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6p414y83/input.p',i_0_16) ).
cnf(i_0_6,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X3,X1,X2)
| ~ big_f(esk2_3(X1,X2,X3),X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6p414y83/input.p',i_0_6) ).
cnf(i_0_10,negated_conjecture,
( big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,esk2_3(X1,X2,X3),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6p414y83/input.p',i_0_10) ).
cnf(i_0_5,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X2,X3,X1)
| ~ big_f(esk2_3(X1,X2,X3),X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6p414y83/input.p',i_0_5) ).
cnf(i_0_12,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X3,esk2_3(X3,X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6p414y83/input.p',i_0_12) ).
cnf(i_0_14,negated_conjecture,
( big_f(X1,X2,X3)
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X1,esk2_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6p414y83/input.p',i_0_14) ).
cnf(i_0_8,negated_conjecture,
( big_f(esk2_3(X1,X2,X3),X2,X1)
| ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6p414y83/input.p',i_0_8) ).
cnf(i_0_7,negated_conjecture,
( big_f(esk2_3(X1,X2,X3),X2,X1)
| ~ big_f(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6p414y83/input.p',i_0_7) ).
cnf(i_0_13,negated_conjecture,
( big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X3,esk2_3(X3,X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6p414y83/input.p',i_0_13) ).
cnf(i_0_9,negated_conjecture,
( big_f(X1,X2,X3)
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,esk2_3(X2,X3,X1),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6p414y83/input.p',i_0_9) ).
cnf(i_0_4,negated_conjecture,
( ~ big_f(X1,X2,X3)
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1)
| ~ big_f(esk2_3(X2,X3,X1),esk2_3(X2,X3,X1),esk2_3(X2,X3,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6p414y83/input.p',i_0_4) ).
cnf(c_0_30,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1)
| ~ big_f(esk1_0,esk1_0,esk2_3(X2,X3,X1)) ),
i_0_17 ).
cnf(c_0_31,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X3,X2,esk2_3(X2,X3,X1)) ),
i_0_16 ).
cnf(c_0_32,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X3,X1,X2)
| ~ big_f(esk2_3(X1,X2,X3),X2,X1) ),
i_0_6 ).
cnf(c_0_33,negated_conjecture,
( big_f(X1,esk1_0,esk1_0)
| big_f(esk1_0,X1,esk1_0)
| ~ big_f(esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
( big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,esk2_3(X1,X2,X3),X2) ),
i_0_10 ).
cnf(c_0_35,negated_conjecture,
( big_f(esk1_0,esk2_3(esk1_0,esk1_0,X1),esk1_0)
| big_f(esk1_0,esk1_0,X1)
| big_f(X1,esk1_0,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X2,X3,X1)
| ~ big_f(esk2_3(X1,X2,X3),X2,X1) ),
i_0_5 ).
cnf(c_0_37,negated_conjecture,
( big_f(X1,esk1_0,esk1_0)
| big_f(esk1_0,esk1_0,X1)
| ~ big_f(esk1_0,X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X3,esk2_3(X3,X1,X2),X1) ),
i_0_12 ).
cnf(c_0_39,negated_conjecture,
( big_f(X1,X2,X3)
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X1,esk2_3(X1,X2,X3)) ),
i_0_14 ).
cnf(c_0_40,negated_conjecture,
( big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1))
| big_f(esk1_0,esk1_0,X1)
| big_f(esk1_0,X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( big_f(esk1_0,X1,esk1_0)
| big_f(esk1_0,esk1_0,X1)
| ~ big_f(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_42,negated_conjecture,
( big_f(esk2_3(X1,X2,X3),X2,X1)
| ~ big_f(X2,X3,X1)
| ~ big_f(X3,X1,X2) ),
i_0_8 ).
cnf(c_0_43,negated_conjecture,
( big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1))
| big_f(esk1_0,esk2_3(esk1_0,esk1_0,X1),esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_38]),c_0_31]) ).
cnf(c_0_44,negated_conjecture,
( big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1))
| big_f(esk1_0,esk1_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_43]),c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( big_f(esk1_0,esk1_0,X1)
| ~ big_f(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_44]) ).
cnf(c_0_46,negated_conjecture,
( big_f(esk2_3(X1,X2,X3),X2,X1)
| ~ big_f(X1,X2,X3) ),
i_0_7 ).
cnf(c_0_47,negated_conjecture,
( big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1)
| ~ big_f(X1,X3,esk2_3(X3,X1,X2)) ),
i_0_13 ).
cnf(c_0_48,negated_conjecture,
big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_44]) ).
cnf(c_0_49,negated_conjecture,
( big_f(esk1_0,X1,esk1_0)
| ~ big_f(X1,esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_50,negated_conjecture,
( big_f(X1,X2,X3)
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,esk2_3(X2,X3,X1),X3) ),
i_0_9 ).
cnf(c_0_51,negated_conjecture,
( big_f(esk1_0,X1,esk1_0)
| ~ big_f(esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_33]) ).
cnf(c_0_52,negated_conjecture,
( big_f(X1,esk1_0,esk1_0)
| ~ big_f(esk1_0,X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_48])]) ).
cnf(c_0_53,negated_conjecture,
( big_f(X1,esk1_0,esk1_0)
| ~ big_f(esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_51]) ).
cnf(c_0_54,negated_conjecture,
big_f(X1,esk1_0,esk1_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_53]),c_0_48])]),c_0_53]) ).
cnf(c_0_55,negated_conjecture,
big_f(esk1_0,esk1_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_54])]) ).
cnf(c_0_56,negated_conjecture,
( big_f(X1,X2,X3)
| big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_55])]) ).
cnf(c_0_57,negated_conjecture,
( big_f(X1,X2,esk2_3(X2,X1,X3))
| big_f(X2,esk2_3(X2,X1,X3),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_42]),c_0_38]),c_0_31]) ).
cnf(c_0_58,negated_conjecture,
( big_f(X1,X2,esk2_3(X2,X1,X3))
| big_f(X2,X1,X3)
| big_f(X1,X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_56]),c_0_38]) ).
cnf(c_0_59,negated_conjecture,
( big_f(X1,X2,esk2_3(X2,X1,X3))
| big_f(X2,X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_57]),c_0_58]) ).
cnf(c_0_60,negated_conjecture,
( big_f(X1,X2,X3)
| ~ big_f(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_59]) ).
cnf(c_0_61,negated_conjecture,
big_f(X1,esk2_3(X1,X2,X3),X2),
inference(spm,[status(thm)],[c_0_60,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( big_f(X1,X2,X3)
| ~ big_f(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_60]) ).
cnf(c_0_63,negated_conjecture,
( ~ big_f(X1,X2,X3)
| ~ big_f(X3,X1,X2)
| ~ big_f(X2,X3,X1)
| ~ big_f(esk2_3(X2,X3,X1),esk2_3(X2,X3,X1),esk2_3(X2,X3,X1)) ),
i_0_4 ).
cnf(c_0_64,negated_conjecture,
big_f(X1,X2,X3),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_60]),c_0_61])]),c_0_62]) ).
cnf(c_0_65,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64]),c_0_64]),c_0_64]),c_0_64])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN353+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n009.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 Jul 11 14:05:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.35/2.42 # ENIGMATIC: Solved by autoschedule:
% 8.35/2.42 # No SInE strategy applied
% 8.35/2.42 # Trying AutoSched0 for 150 seconds
% 8.35/2.42 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S022A
% 8.35/2.42 # and selection function SelectOptimalRestrDepth2.
% 8.35/2.42 #
% 8.35/2.42 # Preprocessing time : 0.024 s
% 8.35/2.42 # Presaturation interreduction done
% 8.35/2.42
% 8.35/2.42 # Proof found!
% 8.35/2.42 # SZS status Theorem
% 8.35/2.42 # SZS output start CNFRefutation
% See solution above
% 8.35/2.42 # Training examples: 0 positive, 0 negative
% 8.35/2.42
% 8.35/2.42 # -------------------------------------------------
% 8.35/2.42 # User time : 0.027 s
% 8.35/2.42 # System time : 0.010 s
% 8.35/2.42 # Total time : 0.037 s
% 8.35/2.42 # Maximum resident set size: 7116 pages
% 8.35/2.42
%------------------------------------------------------------------------------