TSTP Solution File: SYN084+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SYN084+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 04:49:41 EDT 2022
% Result : Theorem 7.77s 2.43s
% Output : CNFRefutation 7.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of clauses : 32 ( 7 unt; 14 nHn; 28 RR)
% Number of literals : 88 ( 0 equ; 39 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_4,negated_conjecture,
( big_p(X1)
| big_p(X2)
| big_p(f(f(X1)))
| big_p(f(f(X2)))
| ~ big_p(a) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xyxn5cdj/input.p',i_0_4) ).
cnf(i_0_31,negated_conjecture,
big_p(a),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xyxn5cdj/input.p',i_0_31) ).
cnf(i_0_1,negated_conjecture,
( big_p(f(f(X1)))
| big_p(f(f(X2)))
| ~ big_p(a)
| ~ big_p(f(X1))
| ~ big_p(f(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xyxn5cdj/input.p',i_0_1) ).
cnf(i_0_5,negated_conjecture,
( ~ big_p(f(f(esk1_0)))
| ~ big_p(f(f(esk2_0))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xyxn5cdj/input.p',i_0_5) ).
cnf(i_0_18,negated_conjecture,
( big_p(f(esk1_0))
| big_p(f(esk2_0))
| ~ big_p(esk1_0)
| ~ big_p(esk2_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xyxn5cdj/input.p',i_0_18) ).
cnf(i_0_9,negated_conjecture,
( big_p(f(esk2_0))
| ~ big_p(esk2_0)
| ~ big_p(f(f(esk1_0))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xyxn5cdj/input.p',i_0_9) ).
cnf(i_0_14,negated_conjecture,
( big_p(f(esk1_0))
| ~ big_p(esk1_0)
| ~ big_p(f(f(esk2_0))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xyxn5cdj/input.p',i_0_14) ).
cnf(c_0_39,negated_conjecture,
( big_p(X1)
| big_p(X2)
| big_p(f(f(X1)))
| big_p(f(f(X2)))
| ~ big_p(a) ),
i_0_4 ).
cnf(c_0_40,negated_conjecture,
big_p(a),
i_0_31 ).
cnf(c_0_41,negated_conjecture,
( big_p(f(f(X1)))
| big_p(f(f(X2)))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).
cnf(c_0_42,negated_conjecture,
( big_p(f(f(X1)))
| big_p(f(f(X2)))
| ~ big_p(a)
| ~ big_p(f(X1))
| ~ big_p(f(X2)) ),
i_0_1 ).
cnf(c_0_43,negated_conjecture,
( ~ big_p(f(f(esk1_0)))
| ~ big_p(f(f(esk2_0))) ),
i_0_5 ).
cnf(c_0_44,negated_conjecture,
( big_p(f(f(X1)))
| big_p(X1) ),
inference(ef,[status(thm)],[c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( big_p(f(f(X1)))
| big_p(f(f(X2)))
| ~ big_p(f(X2))
| ~ big_p(f(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_40])]) ).
cnf(c_0_46,negated_conjecture,
( big_p(f(esk1_0))
| big_p(f(esk2_0))
| ~ big_p(esk1_0)
| ~ big_p(esk2_0) ),
i_0_18 ).
cnf(c_0_47,negated_conjecture,
( big_p(f(esk2_0))
| ~ big_p(esk2_0)
| ~ big_p(f(f(esk1_0))) ),
i_0_9 ).
cnf(c_0_48,negated_conjecture,
( big_p(esk1_0)
| ~ big_p(f(f(esk2_0))) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
( big_p(f(f(X1)))
| big_p(f(esk2_0))
| ~ big_p(f(X1))
| ~ big_p(esk2_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_50,negated_conjecture,
( big_p(esk2_0)
| big_p(esk1_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( big_p(f(esk2_0))
| ~ big_p(esk2_0)
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_49]),c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( big_p(f(esk2_0))
| big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_44]),c_0_50]) ).
cnf(c_0_53,negated_conjecture,
( big_p(f(f(esk2_0)))
| big_p(f(f(X1)))
| ~ big_p(f(X1))
| ~ big_p(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_51]),c_0_44]) ).
cnf(c_0_54,negated_conjecture,
( big_p(f(f(esk2_0)))
| big_p(f(f(X1)))
| ~ big_p(f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_52]),c_0_53]) ).
cnf(c_0_55,negated_conjecture,
big_p(esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_52]),c_0_48]) ).
cnf(c_0_56,negated_conjecture,
( big_p(f(esk1_0))
| ~ big_p(esk1_0)
| ~ big_p(f(f(esk2_0))) ),
i_0_14 ).
cnf(c_0_57,negated_conjecture,
( big_p(f(esk2_0))
| ~ big_p(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_55])]) ).
cnf(c_0_58,negated_conjecture,
( big_p(f(esk1_0))
| ~ big_p(f(f(esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_55])]) ).
cnf(c_0_59,negated_conjecture,
big_p(f(f(esk2_0))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_57]),c_0_44]) ).
cnf(c_0_60,negated_conjecture,
big_p(f(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]) ).
cnf(c_0_61,negated_conjecture,
~ big_p(f(f(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_59])]) ).
cnf(c_0_62,negated_conjecture,
( big_p(f(f(X1)))
| ~ big_p(f(X1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_60]),c_0_61]) ).
cnf(c_0_63,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_60])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN084+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 12:51:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.77/2.43 # ENIGMATIC: Solved by autoschedule:
% 7.77/2.43 # No SInE strategy applied
% 7.77/2.43 # Trying AutoSched0 for 150 seconds
% 7.77/2.43 # AutoSched0-Mode selected heuristic G_E___208_C47_F1_SE_CS_SP_PS_S0Y
% 7.77/2.43 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.77/2.43 #
% 7.77/2.43 # Preprocessing time : 0.022 s
% 7.77/2.43 # Presaturation interreduction done
% 7.77/2.43
% 7.77/2.43 # Proof found!
% 7.77/2.43 # SZS status Theorem
% 7.77/2.43 # SZS output start CNFRefutation
% See solution above
% 7.77/2.43 # Training examples: 0 positive, 0 negative
% 7.77/2.43
% 7.77/2.43 # -------------------------------------------------
% 7.77/2.43 # User time : 0.027 s
% 7.77/2.43 # System time : 0.002 s
% 7.77/2.43 # Total time : 0.029 s
% 7.77/2.43 # Maximum resident set size: 7124 pages
% 7.77/2.43
%------------------------------------------------------------------------------