TSTP Solution File: SET890+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET890+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 00:15:03 EDT 2022
% Result : Theorem 8.28s 2.66s
% Output : CNFRefutation 8.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 5 unt; 7 nHn; 14 RR)
% Number of literals : 45 ( 18 equ; 17 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6cuwfee9/lgb.p',i_0_8) ).
cnf(i_0_22,negated_conjecture,
union(singleton(esk8_0)) != esk8_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6cuwfee9/lgb.p',i_0_22) ).
cnf(i_0_12,plain,
( X1 = union(X2)
| in(esk4_2(X2,X1),X1)
| in(esk5_2(X2,X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6cuwfee9/lgb.p',i_0_12) ).
cnf(i_0_13,plain,
( X1 = union(X2)
| in(esk4_2(X2,X1),X1)
| in(esk4_2(X2,X1),esk5_2(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6cuwfee9/lgb.p',i_0_13) ).
cnf(i_0_7,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6cuwfee9/lgb.p',i_0_7) ).
cnf(i_0_14,plain,
( X1 = union(X2)
| ~ in(X3,X2)
| ~ in(esk4_2(X2,X1),X3)
| ~ in(esk4_2(X2,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6cuwfee9/lgb.p',i_0_14) ).
cnf(c_0_29,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
i_0_8 ).
cnf(c_0_30,negated_conjecture,
union(singleton(esk8_0)) != esk8_0,
i_0_22 ).
cnf(c_0_31,plain,
( X1 = union(X2)
| in(esk4_2(X2,X1),X1)
| in(esk5_2(X2,X1),X2) ),
i_0_12 ).
cnf(c_0_32,plain,
( X1 = union(X2)
| in(esk4_2(X2,X1),X1)
| in(esk4_2(X2,X1),esk5_2(X2,X1)) ),
i_0_13 ).
cnf(c_0_33,plain,
( X1 = X2
| ~ in(X1,singleton(X2)) ),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( in(esk5_2(singleton(esk8_0),esk8_0),singleton(esk8_0))
| in(esk4_2(singleton(esk8_0),esk8_0),esk8_0) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_35,negated_conjecture,
( in(esk4_2(singleton(esk8_0),esk8_0),esk5_2(singleton(esk8_0),esk8_0))
| in(esk4_2(singleton(esk8_0),esk8_0),esk8_0) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_32])]) ).
cnf(c_0_36,plain,
( esk5_2(singleton(esk8_0),esk8_0) = esk8_0
| in(esk4_2(singleton(esk8_0),esk8_0),esk8_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
i_0_7 ).
cnf(c_0_38,plain,
( X1 = union(X2)
| ~ in(X3,X2)
| ~ in(esk4_2(X2,X1),X3)
| ~ in(esk4_2(X2,X1),X1) ),
i_0_14 ).
cnf(c_0_39,plain,
in(esk4_2(singleton(esk8_0),esk8_0),esk8_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
in(X1,singleton(X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])]) ).
cnf(c_0_41,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_39]),c_0_40])]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET890+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 09:41:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 8.28/2.66 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.28/2.66 # No SInE strategy applied
% 8.28/2.66 # Trying AutoSched0 for 150 seconds
% 8.28/2.66 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S05EA
% 8.28/2.66 # and selection function SelectDivPreferIntoLits.
% 8.28/2.66 #
% 8.28/2.66 # Preprocessing time : 0.024 s
% 8.28/2.66 # Presaturation interreduction done
% 8.28/2.66
% 8.28/2.66 # Proof found!
% 8.28/2.66 # SZS status Theorem
% 8.28/2.66 # SZS output start CNFRefutation
% See solution above
% 8.28/2.66 # Training examples: 0 positive, 0 negative
% 8.28/2.66
% 8.28/2.66 # -------------------------------------------------
% 8.28/2.66 # User time : 0.034 s
% 8.28/2.66 # System time : 0.005 s
% 8.28/2.66 # Total time : 0.039 s
% 8.28/2.66 # Maximum resident set size: 7132 pages
% 8.28/2.66
%------------------------------------------------------------------------------