TSTP Solution File: SEU183+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU183+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 08:39:17 EDT 2022
% Result : Theorem 4.18s 2.10s
% Output : CNFRefutation 4.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 9 unt; 5 nHn; 24 RR)
% Number of literals : 85 ( 8 equ; 51 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-5 aty)
% Number of variables : 69 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59vnxdgv/lgb.p',i_0_8) ).
cnf(i_0_2,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59vnxdgv/lgb.p',i_0_2) ).
cnf(i_0_15,plain,
( in(unordered_pair(unordered_pair(esk5_5(X1,X2,X3,X4,X5),X5),singleton(esk5_5(X1,X2,X3,X4,X5))),X2)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59vnxdgv/lgb.p',i_0_15) ).
cnf(i_0_23,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59vnxdgv/lgb.p',i_0_23) ).
cnf(i_0_9,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),X3),singleton(esk2_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59vnxdgv/lgb.p',i_0_9) ).
cnf(i_0_4,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59vnxdgv/lgb.p',i_0_4) ).
cnf(i_0_45,negated_conjecture,
relation(esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59vnxdgv/lgb.p',i_0_45) ).
cnf(i_0_46,negated_conjecture,
relation(esk15_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59vnxdgv/lgb.p',i_0_46) ).
cnf(i_0_3,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59vnxdgv/lgb.p',i_0_3) ).
cnf(i_0_44,negated_conjecture,
~ subset(relation_rng(relation_composition(esk15_0,esk16_0)),relation_rng(esk16_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-59vnxdgv/lgb.p',i_0_44) ).
cnf(c_0_57,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
i_0_8 ).
cnf(c_0_58,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_59,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_2 ).
cnf(c_0_60,plain,
( in(unordered_pair(unordered_pair(esk5_5(X1,X2,X3,X4,X5),X5),singleton(esk5_5(X1,X2,X3,X4,X5))),X2)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3) ),
i_0_15 ).
cnf(c_0_61,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_23 ).
cnf(c_0_62,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X3)),X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,plain,
( in(unordered_pair(unordered_pair(X1,esk5_5(X2,X3,relation_composition(X2,X3),X4,X1)),singleton(esk5_5(X2,X3,relation_composition(X2,X3),X4,X1))),X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),relation_composition(X2,X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_59])]),c_0_61]) ).
cnf(c_0_64,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),relation_composition(X3,X2)) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_65,plain,
( in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),X3),singleton(esk2_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_9 ).
cnf(c_0_66,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X4)),relation_composition(X3,X2)) ),
inference(spm,[status(thm)],[c_0_64,c_0_59]) ).
cnf(c_0_67,plain,
( in(unordered_pair(unordered_pair(X1,esk2_3(X2,relation_rng(X2),X1)),singleton(esk2_3(X2,relation_rng(X2),X1))),X2)
| ~ relation(X2)
| ~ in(X1,relation_rng(X2)) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_59])]) ).
cnf(c_0_68,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ relation(X3)
| ~ in(X1,relation_rng(relation_composition(X3,X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_61]) ).
cnf(c_0_69,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
i_0_4 ).
cnf(c_0_70,plain,
( in(esk1_2(relation_rng(relation_composition(X1,X2)),X3),relation_rng(X2))
| subset(relation_rng(relation_composition(X1,X2)),X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_71,negated_conjecture,
relation(esk16_0),
i_0_45 ).
cnf(c_0_72,negated_conjecture,
( in(esk1_2(relation_rng(relation_composition(X1,esk16_0)),X2),relation_rng(esk16_0))
| subset(relation_rng(relation_composition(X1,esk16_0)),X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_73,negated_conjecture,
relation(esk15_0),
i_0_46 ).
cnf(c_0_74,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
i_0_3 ).
cnf(c_0_75,negated_conjecture,
( in(esk1_2(relation_rng(relation_composition(esk15_0,esk16_0)),X1),relation_rng(esk16_0))
| subset(relation_rng(relation_composition(esk15_0,esk16_0)),X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_76,negated_conjecture,
~ subset(relation_rng(relation_composition(esk15_0,esk16_0)),relation_rng(esk16_0)),
i_0_44 ).
cnf(c_0_77,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SEU183+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.09 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Mon Jun 20 08:41:20 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.13/0.35 # ENIGMATIC: Selected complete mode:
% 4.18/2.10 # ENIGMATIC: Solved by autoschedule-lgb:
% 4.18/2.10 # No SInE strategy applied
% 4.18/2.10 # Trying AutoSched0 for 150 seconds
% 4.18/2.10 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 4.18/2.10 # and selection function SelectComplexExceptUniqMaxHorn.
% 4.18/2.10 #
% 4.18/2.10 # Preprocessing time : 0.015 s
% 4.18/2.10 # Presaturation interreduction done
% 4.18/2.10
% 4.18/2.10 # Proof found!
% 4.18/2.10 # SZS status Theorem
% 4.18/2.10 # SZS output start CNFRefutation
% See solution above
% 4.18/2.10 # Training examples: 0 positive, 0 negative
% 4.18/2.10
% 4.18/2.10 # -------------------------------------------------
% 4.18/2.10 # User time : 0.017 s
% 4.18/2.10 # System time : 0.006 s
% 4.18/2.10 # Total time : 0.023 s
% 4.18/2.10 # Maximum resident set size: 7128 pages
% 4.18/2.10
%------------------------------------------------------------------------------