TSTP Solution File: SWW207+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW207+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 00:01:44 EDT 2022
% Result : Theorem 5.33s 2.78s
% Output : CNFRefutation 5.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of clauses : 44 ( 21 unt; 3 nHn; 31 RR)
% Number of literals : 74 ( 10 equ; 34 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 44 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_292,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
| ~ class_Groups_Oordered__ab__group__add__abs(X1)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2)),X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k64rkmb9/lgb.p',i_0_292) ).
cnf(i_0_1251,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X2))
| ~ class_Orderings_Opreorder(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k64rkmb9/lgb.p',i_0_1251) ).
cnf(i_0_268,negated_conjecture,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk1_1(X1))))))),X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k64rkmb9/lgb.p',i_0_268) ).
cnf(i_0_496,plain,
hAPP(c_Complex_ORe,c_Complex_Oii) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k64rkmb9/lgb.p',i_0_496) ).
cnf(i_0_1339,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k64rkmb9/lgb.p',i_0_1339) ).
cnf(i_0_227,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k64rkmb9/lgb.p',i_0_227) ).
cnf(i_0_216,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k64rkmb9/lgb.p',i_0_216) ).
cnf(i_0_1536,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k64rkmb9/lgb.p',i_0_1536) ).
cnf(i_0_478,plain,
hAPP(c_Complex_OIm,c_Complex_Oii) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k64rkmb9/lgb.p',i_0_478) ).
cnf(i_0_289,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Oabs__class_Oabs(X1,X2)))
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k64rkmb9/lgb.p',i_0_289) ).
cnf(i_0_1601,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2)),c_Groups_Oabs__class_Oabs(X2,X1)))
| ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k64rkmb9/lgb.p',i_0_1601) ).
cnf(i_0_1611,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Oone__class_Oone(X1)))
| ~ class_Rings_Olinordered__semidom(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k64rkmb9/lgb.p',i_0_1611) ).
cnf(i_0_248,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k64rkmb9/lgb.p',i_0_248) ).
cnf(i_0_304,plain,
( c_Groups_Oabs__class_Oabs(X1,c_Groups_Oone__class_Oone(X1)) = c_Groups_Oone__class_Oone(X1)
| ~ class_Rings_Olinordered__idom(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k64rkmb9/lgb.p',i_0_304) ).
cnf(i_0_245,plain,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k64rkmb9/lgb.p',i_0_245) ).
cnf(c_0_1627,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
| ~ class_Groups_Oordered__ab__group__add__abs(X1)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oabs__class_Oabs(X1,X2)),X3)) ),
i_0_292 ).
cnf(c_0_1628,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X2))
| ~ class_Orderings_Opreorder(X1) ),
i_0_1251 ).
cnf(c_0_1629,negated_conjecture,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk1_1(X1))))))),X1)) ),
i_0_268 ).
cnf(c_0_1630,plain,
hAPP(c_Complex_ORe,c_Complex_Oii) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
i_0_496 ).
cnf(c_0_1631,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X3)) ),
i_0_1339 ).
cnf(c_0_1632,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),c_Groups_Oabs__class_Oabs(X1,X2)))
| ~ class_Orderings_Opreorder(X1)
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
inference(spm,[status(thm)],[c_0_1627,c_0_1628]) ).
cnf(c_0_1633,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
i_0_227 ).
cnf(c_0_1634,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
i_0_216 ).
cnf(c_0_1635,negated_conjecture,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk1_1(X1))))))),X1))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),X1)) ),
inference(rw,[status(thm)],[c_0_1629,c_0_1630]) ).
cnf(c_0_1636,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1631,c_0_1632]),c_0_1633]),c_0_1634])]) ).
cnf(c_0_1637,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
i_0_1536 ).
cnf(c_0_1638,plain,
hAPP(c_Complex_OIm,c_Complex_Oii) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
i_0_478 ).
cnf(c_0_1639,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Oabs__class_Oabs(X1,X2)))
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
i_0_289 ).
cnf(c_0_1640,negated_conjecture,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk1_1(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)))))))),X1))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))) ),
inference(spm,[status(thm)],[c_0_1635,c_0_1636]) ).
cnf(c_0_1641,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii)))),
inference(rw,[status(thm)],[c_0_1637,c_0_1638]) ).
cnf(c_0_1642,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2)),c_Groups_Oabs__class_Oabs(X2,X1)))
| ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
i_0_1601 ).
cnf(c_0_1643,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X2)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),hAPP(c_Complex_ORe,c_Complex_Oii))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1631,c_0_1639]),c_0_1630]),c_0_1634])]) ).
cnf(c_0_1644,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Oone__class_Oone(X1)))
| ~ class_Rings_Olinordered__semidom(X1) ),
i_0_1611 ).
cnf(c_0_1645,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
i_0_248 ).
cnf(c_0_1646,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii))))),
inference(spm,[status(thm)],[c_0_1640,c_0_1641]) ).
cnf(c_0_1647,plain,
( X1 = hAPP(c_Complex_ORe,c_Complex_Oii)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1642,c_0_1634]),c_0_1630]),c_0_1630]) ).
cnf(c_0_1648,negated_conjecture,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk1_1(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)))))))),hAPP(c_Complex_ORe,c_Complex_Oii)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1))) ),
inference(spm,[status(thm)],[c_0_1635,c_0_1643]) ).
cnf(c_0_1649,plain,
( c_Groups_Oabs__class_Oabs(X1,c_Groups_Oone__class_Oone(X1)) = c_Groups_Oone__class_Oone(X1)
| ~ class_Rings_Olinordered__idom(X1) ),
i_0_304 ).
cnf(c_0_1650,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),hAPP(c_Complex_OIm,c_Complex_Oii))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1644,c_0_1638]),c_0_1630]),c_0_1645])]) ).
cnf(c_0_1651,plain,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
i_0_245 ).
cnf(c_0_1652,plain,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii)) = hAPP(c_Complex_ORe,c_Complex_Oii),
inference(spm,[status(thm)],[c_0_1646,c_0_1647]) ).
cnf(c_0_1653,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk1_1(hAPP(c_Complex_OIm,c_Complex_Oii)))))))),hAPP(c_Complex_ORe,c_Complex_Oii))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1648,c_0_1649]),c_0_1638]),c_0_1638]),c_0_1650]),c_0_1651])]) ).
cnf(c_0_1654,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X1)))),hAPP(c_Complex_ORe,c_Complex_Oii))),
inference(rw,[status(thm)],[c_0_1641,c_0_1652]) ).
cnf(c_0_1655,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1653,c_0_1654])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW207+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n019.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 : Sun Jun 5 07:24:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.52 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.52 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.52 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 5.33/2.78 # ENIGMATIC: Solved by autoschedule-lgb:
% 5.33/2.78 # No SInE strategy applied
% 5.33/2.78 # Trying AutoSched0 for 150 seconds
% 5.33/2.78 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 5.33/2.78 # and selection function SelectComplexExceptUniqMaxHorn.
% 5.33/2.78 #
% 5.33/2.78 # Preprocessing time : 0.023 s
% 5.33/2.78 # Presaturation interreduction done
% 5.33/2.78
% 5.33/2.78 # Proof found!
% 5.33/2.78 # SZS status Theorem
% 5.33/2.78 # SZS output start CNFRefutation
% See solution above
% 5.33/2.78 # Training examples: 0 positive, 0 negative
% 5.33/2.78
% 5.33/2.78 # -------------------------------------------------
% 5.33/2.78 # User time : 0.046 s
% 5.33/2.78 # System time : 0.010 s
% 5.33/2.78 # Total time : 0.055 s
% 5.33/2.78 # Maximum resident set size: 7404 pages
% 5.33/2.78
%------------------------------------------------------------------------------