TSTP Solution File: SET902+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET902+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 : Tue Jul 19 00:15:07 EDT 2022
% Result : Theorem 7.92s 2.58s
% Output : CNFRefutation 7.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 28 ( 15 unt; 4 nHn; 21 RR)
% Number of literals : 43 ( 35 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_17,plain,
subset(X1,set_union2(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g2px75hz/lgb.p',i_0_17) ).
cnf(i_0_1,plain,
set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g2px75hz/lgb.p',i_0_1) ).
cnf(i_0_16,negated_conjecture,
set_union2(esk4_0,esk5_0) = singleton(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g2px75hz/lgb.p',i_0_16) ).
cnf(i_0_9,plain,
( X1 = empty_set
| X1 = singleton(X2)
| ~ subset(X1,singleton(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g2px75hz/lgb.p',i_0_9) ).
cnf(i_0_13,negated_conjecture,
( esk5_0 != empty_set
| singleton(esk3_0) != esk4_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g2px75hz/lgb.p',i_0_13) ).
cnf(i_0_15,negated_conjecture,
( singleton(esk3_0) != esk4_0
| singleton(esk3_0) != esk5_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g2px75hz/lgb.p',i_0_15) ).
cnf(i_0_14,negated_conjecture,
( esk4_0 != empty_set
| singleton(esk3_0) != esk5_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g2px75hz/lgb.p',i_0_14) ).
cnf(i_0_5,plain,
set_union2(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g2px75hz/lgb.p',i_0_5) ).
cnf(c_0_26,plain,
subset(X1,set_union2(X1,X2)),
i_0_17 ).
cnf(c_0_27,plain,
set_union2(X1,X2) = set_union2(X2,X1),
i_0_1 ).
cnf(c_0_28,negated_conjecture,
set_union2(esk4_0,esk5_0) = singleton(esk3_0),
i_0_16 ).
cnf(c_0_29,plain,
subset(X1,set_union2(X2,X1)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,plain,
( X1 = empty_set
| X1 = singleton(X2)
| ~ subset(X1,singleton(X2)) ),
i_0_9 ).
cnf(c_0_31,negated_conjecture,
subset(esk4_0,singleton(esk3_0)),
inference(spm,[status(thm)],[c_0_26,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
subset(esk5_0,singleton(esk3_0)),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( esk5_0 != empty_set
| singleton(esk3_0) != esk4_0 ),
i_0_13 ).
cnf(c_0_34,negated_conjecture,
( singleton(esk3_0) = esk4_0
| empty_set = esk4_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( singleton(esk3_0) != esk4_0
| singleton(esk3_0) != esk5_0 ),
i_0_15 ).
cnf(c_0_36,negated_conjecture,
( esk4_0 != empty_set
| singleton(esk3_0) != esk5_0 ),
i_0_14 ).
cnf(c_0_37,plain,
( singleton(esk3_0) = esk5_0
| empty_set = esk5_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( empty_set = esk4_0
| empty_set != esk5_0 ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,negated_conjecture,
( empty_set = esk4_0
| esk5_0 != esk4_0 ),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( empty_set = esk5_0
| empty_set != esk4_0 ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
empty_set = esk4_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_42,negated_conjecture,
esk5_0 = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41]),c_0_41])]) ).
cnf(c_0_43,plain,
set_union2(X1,X1) = X1,
i_0_5 ).
cnf(c_0_44,negated_conjecture,
singleton(esk3_0) != esk4_0,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_41])]),c_0_42]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_42]),c_0_43]),c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SET902+1 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 02:40:12 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.48 # ENIGMATIC: Selected complete mode:
% 7.92/2.58 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.92/2.58 # No SInE strategy applied
% 7.92/2.58 # Trying AutoSched0 for 150 seconds
% 7.92/2.58 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S00AA
% 7.92/2.58 # and selection function SelectLargestOrientable.
% 7.92/2.58 #
% 7.92/2.58 # Preprocessing time : 0.012 s
% 7.92/2.58 # Presaturation interreduction done
% 7.92/2.58
% 7.92/2.58 # Proof found!
% 7.92/2.58 # SZS status Theorem
% 7.92/2.58 # SZS output start CNFRefutation
% See solution above
% 7.92/2.58 # Training examples: 0 positive, 0 negative
% 7.92/2.58
% 7.92/2.58 # -------------------------------------------------
% 7.92/2.58 # User time : 0.014 s
% 7.92/2.58 # System time : 0.006 s
% 7.92/2.58 # Total time : 0.020 s
% 7.92/2.58 # Maximum resident set size: 7128 pages
% 7.92/2.58
%------------------------------------------------------------------------------