TSTP Solution File: SWW224+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW224+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 00:01:46 EDT 2022
% Result : Theorem 11.06s 3.21s
% Output : CNFRefutation 11.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 31
% Syntax : Number of clauses : 87 ( 43 unt; 12 nHn; 64 RR)
% Number of literals : 159 ( 28 equ; 66 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 114 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_176,plain,
( c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)
| ~ class_Rings_Olinordered__idom(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X3,X4),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_176) ).
cnf(i_0_169,hypothesis,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,v_e)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_169) ).
cnf(i_0_151,plain,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_151) ).
cnf(i_0_170,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m)),v_e),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_170) ).
cnf(i_0_688,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_688) ).
cnf(i_0_139,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_139) ).
cnf(i_0_1422,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_1422) ).
cnf(i_0_141,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_141) ).
cnf(i_0_168,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_m,v_x),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_168) ).
cnf(i_0_1416,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Oorder(X3)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_1416) ).
cnf(i_0_346,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,X3) = c_Groups_Oplus__class_Oplus(X1,X3,X2)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_346) ).
cnf(i_0_149,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_149) ).
cnf(i_0_627,plain,
( c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
| ~ class_Groups_Oordered__ab__group__add(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_627) ).
cnf(i_0_133,plain,
class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_133) ).
cnf(i_0_391,plain,
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X3) = X2
| ~ class_Groups_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_391) ).
cnf(i_0_126,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_126) ).
cnf(i_0_565,plain,
( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
| ~ class_Groups_Oordered__ab__group__add(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_565) ).
cnf(i_0_635,plain,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_635) ).
cnf(i_0_142,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_142) ).
cnf(i_0_222,plain,
( c_Groups_Ominus__class_Ominus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X3) = X2
| ~ class_Groups_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_222) ).
cnf(i_0_194,plain,
( c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)) = c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X3,X2))
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_194) ).
cnf(i_0_132,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_132) ).
cnf(i_0_626,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Groups_Oordered__ab__group__add(X1)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_626) ).
cnf(i_0_1215,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_1215) ).
cnf(i_0_1040,plain,
( c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_1040) ).
cnf(i_0_147,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_147) ).
cnf(i_0_678,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_678) ).
cnf(i_0_360,plain,
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2) = X2
| ~ class_Rings_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_360) ).
cnf(i_0_1195,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_1195) ).
cnf(i_0_244,plain,
( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_244) ).
cnf(i_0_134,plain,
class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nzu8sf1l/lgb.p',i_0_134) ).
cnf(c_0_1454,plain,
( c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)
| ~ class_Rings_Olinordered__idom(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X3,X4),X2) ),
i_0_176 ).
cnf(c_0_1455,hypothesis,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,v_e)),
i_0_169 ).
cnf(c_0_1456,plain,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
i_0_151 ).
cnf(c_0_1457,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m)),v_e),
i_0_170 ).
cnf(c_0_1458,hypothesis,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e),v_x),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1454,c_0_1455]),c_0_1456])]),c_0_1457]) ).
cnf(c_0_1459,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
i_0_688 ).
cnf(c_0_1460,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
i_0_139 ).
cnf(c_0_1461,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3) ),
i_0_1422 ).
cnf(c_0_1462,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_x,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1458,c_0_1459]),c_0_1460])]) ).
cnf(c_0_1463,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
i_0_141 ).
cnf(c_0_1464,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,v_x) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1461,c_0_1462]),c_0_1463])]) ).
cnf(c_0_1465,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_m,v_x),
i_0_168 ).
cnf(c_0_1466,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Oorder(X3)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1) ),
i_0_1416 ).
cnf(c_0_1467,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_m,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e)),
inference(spm,[status(thm)],[c_0_1464,c_0_1465]) ).
cnf(c_0_1468,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,X3) = c_Groups_Oplus__class_Oplus(X1,X3,X2)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
i_0_346 ).
cnf(c_0_1469,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
i_0_149 ).
cnf(c_0_1470,plain,
( c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
| ~ class_Groups_Oordered__ab__group__add(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
i_0_627 ).
cnf(c_0_1471,plain,
( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e) = v_m
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_m,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1466,c_0_1467]),c_0_1463])]) ).
cnf(c_0_1472,plain,
class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal),
i_0_133 ).
cnf(c_0_1473,plain,
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X3) = X2
| ~ class_Groups_Ogroup__add(X1) ),
i_0_391 ).
cnf(c_0_1474,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1),
inference(spm,[status(thm)],[c_0_1468,c_0_1469]) ).
cnf(c_0_1475,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
i_0_126 ).
cnf(c_0_1476,plain,
( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
| ~ class_Groups_Oordered__ab__group__add(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
i_0_565 ).
cnf(c_0_1477,plain,
( ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2) ),
i_0_635 ).
cnf(c_0_1478,plain,
( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e) = v_m
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1470,c_0_1471]),c_0_1472])]) ).
cnf(c_0_1479,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
i_0_142 ).
cnf(c_0_1480,plain,
( c_Groups_Ominus__class_Ominus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X3) = X2
| ~ class_Groups_Ogroup__add(X1) ),
i_0_222 ).
cnf(c_0_1481,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1)) = X2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1473,c_0_1474]),c_0_1475])]) ).
cnf(c_0_1482,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1476,c_0_1465]),c_0_1472])]) ).
cnf(c_0_1483,plain,
( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e) = v_m
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1477,c_0_1478]),c_0_1479])]) ).
cnf(c_0_1484,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)) = X2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1480,c_0_1481]),c_0_1475])]) ).
cnf(c_0_1485,negated_conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1457,c_0_1459]),c_0_1460])]) ).
cnf(c_0_1486,plain,
( c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3)) = c_Groups_Oabs__class_Oabs(X1,c_Groups_Ominus__class_Ominus(X1,X3,X2))
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
i_0_194 ).
cnf(c_0_1487,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
i_0_132 ).
cnf(c_0_1488,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Groups_Oordered__ab__group__add(X1)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1)) ),
i_0_626 ).
cnf(c_0_1489,plain,
( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_x) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1466,c_0_1482]),c_0_1463])]) ).
cnf(c_0_1490,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1),
i_0_1215 ).
cnf(c_0_1491,plain,
( c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
i_0_1040 ).
cnf(c_0_1492,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
i_0_147 ).
cnf(c_0_1493,plain,
( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e) = v_m
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_e) ),
inference(rw,[status(thm)],[c_0_1483,c_0_1484]) ).
cnf(c_0_1494,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
i_0_678 ).
cnf(c_0_1495,negated_conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_x))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1485,c_0_1486]),c_0_1487])]) ).
cnf(c_0_1496,plain,
( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_x) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_m,v_x) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1488,c_0_1489]),c_0_1472])]) ).
cnf(c_0_1497,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1490,c_0_1491]),c_0_1492])]) ).
cnf(c_0_1498,plain,
( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_m,v_e) = v_m
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1493,c_0_1494]),c_0_1460])]) ).
cnf(c_0_1499,negated_conjecture,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_m,v_x) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1495,c_0_1496]),c_0_1497]) ).
cnf(c_0_1500,plain,
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2) = X2
| ~ class_Rings_Ocomm__semiring__1(X1) ),
i_0_360 ).
cnf(c_0_1501,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3) ),
i_0_1195 ).
cnf(c_0_1502,plain,
( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X4) ),
i_0_244 ).
cnf(c_0_1503,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1458,c_0_1498]),c_0_1499]) ).
cnf(c_0_1504,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = X1,
inference(spm,[status(thm)],[c_0_1500,c_0_1469]) ).
cnf(c_0_1505,plain,
class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
i_0_134 ).
cnf(c_0_1506,hypothesis,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,v_x)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,v_m) ),
inference(spm,[status(thm)],[c_0_1501,c_0_1465]) ).
cnf(c_0_1507,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_e,X1),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1502,c_0_1503]),c_0_1504]),c_0_1505])]) ).
cnf(c_0_1508,hypothesis,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,v_e),v_x),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1477,c_0_1455]),c_0_1479])]) ).
cnf(c_0_1509,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1506,c_0_1507]),c_0_1474]),c_0_1508]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW224+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n021.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 : Sat Jun 4 10:16:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 # ENIGMATIC: Selected SinE mode:
% 0.35/0.53 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.53 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.35/0.53 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.35/0.53 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.06/3.21 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.06/3.21 # No SInE strategy applied
% 11.06/3.21 # Trying AutoSched0 for 150 seconds
% 11.06/3.21 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 11.06/3.21 # and selection function SelectCQIPrecWNTNp.
% 11.06/3.21 #
% 11.06/3.21 # Preprocessing time : 0.015 s
% 11.06/3.21 # Presaturation interreduction done
% 11.06/3.21
% 11.06/3.21 # Proof found!
% 11.06/3.21 # SZS status Theorem
% 11.06/3.21 # SZS output start CNFRefutation
% See solution above
% 11.06/3.21 # Training examples: 0 positive, 0 negative
% 11.06/3.21
% 11.06/3.21 # -------------------------------------------------
% 11.06/3.21 # User time : 0.211 s
% 11.06/3.21 # System time : 0.010 s
% 11.06/3.21 # Total time : 0.221 s
% 11.06/3.21 # Maximum resident set size: 7380 pages
% 11.06/3.21
%------------------------------------------------------------------------------