TSTP Solution File: ALG350-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : ALG350-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% 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 14 16:52:32 EDT 2022

% Result   : Unsatisfiable 0.19s 0.43s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG350-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  8 22:52:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.40  # No SInE strategy applied
% 0.19/0.40  # Auto-Mode selected heuristic G_E___208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 0.19/0.40  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.19/0.40  #
% 0.19/0.40  # Presaturation interreduction done
% 0.19/0.40  # Number of axioms: 378 Number of unprocessed: 321
% 0.19/0.40  # Tableaux proof search.
% 0.19/0.40  # APR header successfully linked.
% 0.19/0.40  # Hello from C++
% 0.19/0.41  # The folding up rule is enabled...
% 0.19/0.41  # Local unification is enabled...
% 0.19/0.41  # Any saturation attempts will use folding labels...
% 0.19/0.41  # 321 beginning clauses after preprocessing and clausification
% 0.19/0.41  # Creating start rules for all 2 conjectures.
% 0.19/0.41  # There are 2 start rule candidates:
% 0.19/0.41  # Found 34 unit axioms.
% 0.19/0.41  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.41  # 2 start rule tableaux created.
% 0.19/0.41  # 287 extension rule candidate clauses
% 0.19/0.41  # 34 unit axiom clauses
% 0.19/0.41  
% 0.19/0.41  # Requested 8, 32 cores available to the main process.
% 0.19/0.41  # There are not enough tableaux to fork, creating more from the initial 2
% 0.19/0.41  # Returning from population with 37 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.41  # We now have 37 tableaux to operate on
% 0.19/0.43  # There were 1 total branch saturation attempts.
% 0.19/0.43  # There were 0 of these attempts blocked.
% 0.19/0.43  # There were 0 deferred branch saturation attempts.
% 0.19/0.43  # There were 0 free duplicated saturations.
% 0.19/0.43  # There were 1 total successful branch saturations.
% 0.19/0.43  # There were 0 successful branch saturations in interreduction.
% 0.19/0.43  # There were 0 successful branch saturations on the branch.
% 0.19/0.43  # There were 1 successful branch saturations after the branch.
% 0.19/0.43  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43  # Begin clausification derivation
% 0.19/0.43  
% 0.19/0.43  # End clausification derivation
% 0.19/0.43  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.43  cnf(i_0_746, plain, (class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_732, negated_conjecture, (hBOOL(hAPP(v_P,v_xa)))).
% 0.19/0.43  cnf(i_0_756, plain, (class_Orderings_Opreorder(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_759, plain, (class_Orderings_Oorder(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_750, plain, (class_Lattices_Oupper__semilattice(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_743, plain, (class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_737, plain, (class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_753, plain, (class_Lattices_Odistrib__lattice(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_754, plain, (class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_757, plain, (class_Orderings_Olinorder(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_739, plain, (class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_749, plain, (class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_758, plain, (class_Lattices_Olattice(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_751, plain, (class_Lattices_Olower__semilattice(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_742, plain, (class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_740, plain, (class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_748, plain, (class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_745, plain, (class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_752, plain, (class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_747, plain, (class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_734, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_738, plain, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_735, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_760, plain, (class_Int_Onumber__ring(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_755, plain, (class_Ring__and__Field_Oidom(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_741, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_744, plain, (class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_736, plain, (class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_715, plain, (hBOOL(hAPP(v_P,v_x____)))).
% 0.19/0.43  cnf(i_0_714, plain, (c_HOL_Oord__class_Oless(v_x____,v_Y____,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_723, plain, (c_lessequals(X1,X1,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_598, plain, (c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Transcendental_Oexp(X1,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_733, negated_conjecture, (~c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_604, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_605, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.43  cnf(i_0_603, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.43  cnf(i_0_602, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1))).
% 0.19/0.43  cnf(i_0_717, plain, (c_lessequals(X1,v_L____,tc_RealDef_Oreal)|~hBOOL(hAPP(v_P,X1)))).
% 0.19/0.43  cnf(i_0_718, plain, (c_HOL_Oord__class_Oless(X1,v_Y____,tc_RealDef_Oreal)|~hBOOL(hAPP(v_P,X1)))).
% 0.19/0.43  cnf(i_0_539, plain, (X1=X2|c_NthRoot_Osqrt(X1)!=c_NthRoot_Osqrt(X2))).
% 0.19/0.43  cnf(i_0_538, plain, (c_Orderings_Otop__class_Otop(X1)=c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1)|~class_Lattices_Oboolean__algebra(X1))).
% 0.19/0.43  cnf(i_0_690, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_lessequals(X3,X2,X1))).
% 0.19/0.43  cnf(i_0_694, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_lessequals(X3,X2,X1))).
% 0.19/0.43  cnf(i_0_705, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_713, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_540, plain, (X1=X2|c_Transcendental_Oexp(X1,tc_RealDef_Oreal)!=c_Transcendental_Oexp(X2,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_601, plain, (c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Oboolean__algebra(X1))).
% 0.19/0.43  cnf(i_0_726, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Opreorder(X2))).
% 0.19/0.43  cnf(i_0_725, plain, (c_lessequals(X1,X1,X2)|~class_Orderings_Oorder(X2))).
% 0.19/0.43  cnf(i_0_627, plain, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.43  cnf(i_0_630, plain, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.43  cnf(i_0_419, plain, (c_Orderings_Oord__class_Omin(X1,X1,X2)=X1|~class_Orderings_Olinorder(X2))).
% 0.19/0.43  cnf(i_0_706, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_730, plain, (X1=X2|~c_lessequals(X2,X1,tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_711, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_719, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|c_lessequals(X2,X1,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_485, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_OrderedGroup_Ogroup__add(X2))).
% 0.19/0.43  cnf(i_0_428, plain, (c_Orderings_Oord__class_Omax(X1,X1,X2)=X1|~class_Orderings_Olinorder(X2))).
% 0.19/0.43  cnf(i_0_629, plain, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1))).
% 0.19/0.43  cnf(i_0_504, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.43  cnf(i_0_505, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3))).
% 0.19/0.43  cnf(i_0_631, plain, (c_lessequals(X1,X2,X3)|c_Orderings_Oord__class_Omin(X1,X2,X3)!=X1|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_389, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2)=X1|~class_Lattices_Oupper__semilattice(X2))).
% 0.19/0.43  cnf(i_0_707, plain, (c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_712, plain, (c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_724, plain, (c_lessequals(X1,X2,tc_RealDef_Oreal)|~c_lessequals(X3,X2,tc_RealDef_Oreal)|~c_lessequals(X1,X3,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_710, plain, (c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_615, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2)=X1|~class_Lattices_Olower__semilattice(X2))).
% 0.19/0.43  cnf(i_0_528, plain, (c_lessequals(X1,X2,X3)|c_Orderings_Oord__class_Omax(X1,X2,X3)!=X2|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_421, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.19/0.43  cnf(i_0_422, plain, (X1=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)!=c_HOL_Ouminus__class_Ouminus(X2,X3)|~class_Lattices_Oboolean__algebra(X3))).
% 0.19/0.43  cnf(i_0_502, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)!=X2|~class_Lattices_Oupper__semilattice(X3))).
% 0.19/0.43  cnf(i_0_662, plain, (c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)|~class_Orderings_Otop(X2))).
% 0.19/0.43  cnf(i_0_708, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)|~c_lessequals(X1,X2,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_676, plain, (c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)|~class_Orderings_Obot(X1))).
% 0.19/0.43  cnf(i_0_477, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_570, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_699, plain, (c_lessequals(X1,X2,X3)|c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)!=X1|~class_Lattices_Olower__semilattice(X3))).
% 0.19/0.43  cnf(i_0_727, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.43  cnf(i_0_487, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=X1|~class_Lattices_Oboolean__algebra(X2))).
% 0.19/0.43  cnf(i_0_516, plain, (c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.43  cnf(i_0_478, plain, (c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_584, plain, (c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_569, plain, (c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_382, plain, (c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(X1,X2)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.19/0.43  cnf(i_0_412, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2)=X1|~class_Lattices_Obounded__lattice(X2))).
% 0.19/0.43  cnf(i_0_684, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3))).
% 0.19/0.43  cnf(i_0_596, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3))).
% 0.19/0.43  cnf(i_0_517, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,c_Orderings_Oord__class_Omin(X4,X2,X3),X3))).
% 0.19/0.43  cnf(i_0_417, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(X2),X2)=X1|~class_Lattices_Obounded__lattice(X2))).
% 0.19/0.43  cnf(i_0_530, plain, (c_Orderings_Oord__class_Omin(X1,X2,X3)=X2|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X1,X3))).
% 0.19/0.43  cnf(i_0_632, plain, (c_Orderings_Oord__class_Omin(X1,X2,X3)=X1|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.43  cnf(i_0_529, plain, (c_Orderings_Oord__class_Omax(X1,X2,X3)=X2|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.43  cnf(i_0_527, plain, (c_Orderings_Oord__class_Omax(X1,X2,X3)=X1|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X1,X3))).
% 0.19/0.43  cnf(i_0_381, plain, (c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_RealVector_Onorm__class_Onorm(X1,X2)|~class_RealVector_Oreal__normed__vector(X2))).
% 0.19/0.43  cnf(i_0_411, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1)=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.19/0.43  cnf(i_0_518, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3))).
% 0.19/0.43  cnf(i_0_462, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X4,X2,X3),X3))).
% 0.19/0.43  cnf(i_0_463, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3))).
% 0.19/0.43  cnf(i_0_416, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X2,X1)=X2|~class_Lattices_Obounded__lattice(X1))).
% 0.19/0.43  cnf(i_0_681, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_680, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_688, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_689, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_564, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.43  cnf(i_0_590, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2)=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Obounded__lattice(X2))).
% 0.19/0.43  cnf(i_0_507, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_Orderings_Oord__class_Omax(X4,X1,X3),X2,X3))).
% 0.19/0.43  cnf(i_0_508, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3))).
% 0.19/0.43  cnf(i_0_405, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2)=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 0.19/0.43  cnf(i_0_467, plain, (X1=c_Orderings_Obot__class_Obot(X2)|c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 0.19/0.43  cnf(i_0_600, plain, (X1=c_Orderings_Otop__class_Otop(X2)|c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2)!=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Obounded__lattice(X2))).
% 0.19/0.43  cnf(i_0_468, plain, (X1=c_Orderings_Obot__class_Obot(X2)|c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Obounded__lattice(X2))).
% 0.19/0.43  cnf(i_0_599, plain, (X1=c_Orderings_Otop__class_Otop(X2)|c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2)!=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Obounded__lattice(X2))).
% 0.19/0.43  cnf(i_0_588, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2)=c_HOL_Oabs__class_Oabs(X1,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.43  cnf(i_0_589, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1)=c_Orderings_Otop__class_Otop(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.19/0.43  cnf(i_0_450, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X4,X1,X3),X2,X3))).
% 0.19/0.43  cnf(i_0_451, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3))).
% 0.19/0.43  cnf(i_0_442, plain, (X1=X2|c_HOL_Ominus__class_Ominus(X3,X3,X4)!=c_HOL_Ominus__class_Ominus(X1,X2,X4)|~class_OrderedGroup_Oab__group__add(X4))).
% 0.19/0.43  cnf(i_0_566, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_OrderedGroup_Ocancel__ab__semigroup__add(X4))).
% 0.19/0.43  cnf(i_0_404, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1)=c_Orderings_Obot__class_Obot(X1)|~class_Lattices_Obounded__lattice(X1))).
% 0.19/0.43  cnf(i_0_503, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X2|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.43  cnf(i_0_501, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=X1|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 0.19/0.43  cnf(i_0_698, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X2|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X1,X3))).
% 0.19/0.43  cnf(i_0_700, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=X1|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.43  cnf(i_0_572, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Oboolean__algebra(X2))).
% 0.19/0.43  cnf(i_0_635, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.19/0.43  cnf(i_0_567, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_OrderedGroup_Ocancel__semigroup__add(X4))).
% 0.19/0.43  cnf(i_0_568, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X1,X3,X4)!=c_HOL_Oplus__class_Oplus(X2,X3,X4)|~class_OrderedGroup_Ocancel__semigroup__add(X4))).
% 0.19/0.43  cnf(i_0_640, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X3),X3))).
% 0.19/0.43  cnf(i_0_638, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.43  cnf(i_0_709, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(X2,X3,tc_RealDef_Oreal))).
% 0.19/0.43  cnf(i_0_636, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.19/0.43  cnf(i_0_639, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.43  cnf(i_0_668, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.43  cnf(i_0_587, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Oboolean__algebra(X2))).
% 0.19/0.43  cnf(i_0_666, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)|~class_Lattices_Olower__semilattice(X3))).
% 0.19/0.43  cnf(i_0_641, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3))).
% 0.19/0.43  cnf(i_0_656, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X3),X2,X3))).
% 0.19/0.43  cnf(i_0_669, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.43  cnf(i_0_667, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 0.19/0.43  cnf(i_0_691, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_571, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)=c_Orderings_Otop__class_Otop(X2)|~class_Lattices_Oboolean__algebra(X2))).
% 0.19/0.43  cnf(i_0_657, plain, (c_lessequals(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3))).
% 0.19/0.43  cnf(i_0_565, plain, (X1=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)!=c_HOL_Oplus__class_Oplus(X3,X2,X4)|~class_Ring__and__Field_Oidom(X4)|~class_Int_Onumber__ring(X4))).
% 0.19/0.43  cnf(i_0_444, plain, (c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)=X1|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_720, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_646, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.43  cnf(i_0_586, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Oboolean__algebra(X2))).
% 0.19/0.43  cnf(i_0_551, plain, (c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)=X1|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_415, plain, (c_HOL_Oabs__class_Oabs(X1,X2)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)|~class_OrderedGroup_Olordered__ab__group__add__abs(X2))).
% 0.19/0.43  cnf(i_0_458, plain, (c_Orderings_Oord__class_Omin(X1,X2,X3)=c_Orderings_Oord__class_Omin(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_648, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.43  cnf(i_0_534, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2))).
% 0.19/0.43  cnf(i_0_509, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_lessequals(X1,X3,X4))).
% 0.19/0.43  cnf(i_0_594, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.43  cnf(i_0_555, plain, (c_Orderings_Oord__class_Omax(X1,X2,X3)=c_Orderings_Oord__class_Omax(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_406, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2))).
% 0.19/0.43  cnf(i_0_559, plain, (c_HOL_Ominus__class_Ominus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.19/0.43  cnf(i_0_557, plain, (c_HOL_Ominus__class_Ominus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.19/0.43  cnf(i_0_606, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 0.19/0.43  cnf(i_0_510, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_lessequals(X1,X2,X4))).
% 0.19/0.43  cnf(i_0_519, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.43  cnf(i_0_593, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 0.19/0.43  cnf(i_0_429, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=X1|~class_Lattices_Olattice(X3))).
% 0.19/0.43  cnf(i_0_558, plain, (c_HOL_Ominus__class_Ominus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_Int_Onumber__ring(X3))).
% 0.19/0.43  cnf(i_0_445, plain, (c_HOL_Ominus__class_Ominus(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_Lattices_Oboolean__algebra(X3))).
% 0.19/0.43  cnf(i_0_673, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))).
% 0.19/0.43  cnf(i_0_671, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))).
% 0.19/0.43  cnf(i_0_482, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3)=X1|~class_OrderedGroup_Ogroup__add(X3))).
% 0.19/0.43  cnf(i_0_520, plain, (c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_722, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_591, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=c_HOL_Oplus__class_Oplus(X2,X1,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.43  cnf(i_0_396, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3)=X1|~class_OrderedGroup_Ogroup__add(X3))).
% 0.19/0.43  cnf(i_0_616, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3))).
% 0.19/0.43  cnf(i_0_619, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3))).
% 0.19/0.43  cnf(i_0_506, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_lessequals(X2,X1,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X1,X2,X3))).
% 0.19/0.43  cnf(i_0_721, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_lessequals(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_658, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X3,X4))).
% 0.19/0.43  cnf(i_0_659, plain, (c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_lessequals(X1,X2,X4))).
% 0.19/0.43  cnf(i_0_642, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.43  cnf(i_0_643, plain, (c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_470, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.19/0.43  cnf(i_0_471, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)=c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.43  cnf(i_0_499, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~c_lessequals(X4,X2,X3))).
% 0.19/0.43  cnf(i_0_500, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_387, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_497, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~c_lessequals(X4,X2,X3))).
% 0.19/0.43  cnf(i_0_457, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.43  cnf(i_0_525, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3))).
% 0.19/0.43  cnf(i_0_515, plain, (c_lessequals(X1,X2,X3)|c_lessequals(X4,X2,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3))).
% 0.19/0.43  cnf(i_0_682, plain, (c_lessequals(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3))).
% 0.19/0.43  cnf(i_0_456, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)|~class_Lattices_Olower__semilattice(X3))).
% 0.19/0.43  cnf(i_0_423, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_481, plain, (c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)=c_HOL_Oplus__class_Oplus(X1,X2,X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.19/0.43  cnf(i_0_496, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_388, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Oorder(X3)|~c_HOL_Oord__class_Oless(X4,X2,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_452, plain, (c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))).
% 0.19/0.43  cnf(i_0_397, plain, (c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)=c_Orderings_Oord__class_Omin(X1,X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_453, plain, (c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_HOL_Oord__class_Oless(X1,X2,X4))).
% 0.19/0.43  cnf(i_0_460, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.43  cnf(i_0_549, plain, (c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)=c_Orderings_Oord__class_Omax(X1,X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_461, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_413, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3))).
% 0.19/0.43  cnf(i_0_654, plain, (c_lessequals(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X5,X4,X3))).
% 0.19/0.43  cnf(i_0_608, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2)=X3|~class_OrderedGroup_Oab__group__add(X2))).
% 0.19/0.43  cnf(i_0_685, plain, (c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_lessequals(X1,X3,X4)|~c_lessequals(X1,X2,X4))).
% 0.19/0.43  cnf(i_0_677, plain, (c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_lessequals(X2,X4,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_609, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)=X3|~class_OrderedGroup_Ogroup__add(X2))).
% 0.19/0.43  cnf(i_0_542, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Ominus__class_Ominus(X4,X5,X3)!=c_HOL_Ominus__class_Ominus(X1,X2,X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X4,X5,X3))).
% 0.19/0.43  cnf(i_0_547, plain, (c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_HOL_Oord__class_Oless(X1,X3,X4))).
% 0.19/0.43  cnf(i_0_535, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2)=X3|~class_OrderedGroup_Ogroup__add(X2))).
% 0.19/0.43  cnf(i_0_703, plain, (c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3))).
% 0.19/0.43  cnf(i_0_475, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.19/0.43  cnf(i_0_546, plain, (c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4)|~c_HOL_Oord__class_Oless(X1,X2,X4))).
% 0.19/0.43  cnf(i_0_532, plain, (c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.43  cnf(i_0_531, plain, (c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)|~class_Lattices_Olower__semilattice(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_595, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X1,X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3))).
% 0.19/0.43  cnf(i_0_476, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.43  cnf(i_0_701, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2))).
% 0.19/0.43  cnf(i_0_562, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~c_lessequals(X1,X3,X2))).
% 0.19/0.43  cnf(i_0_427, plain, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)|~class_Ring__and__Field_Oordered__idom(X3))).
% 0.19/0.43  cnf(i_0_611, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.43  cnf(i_0_597, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|c_HOL_Oord__class_Oless(X4,X2,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3))).
% 0.19/0.43  cnf(i_0_474, plain, (X1=c_HOL_Ouminus__class_Ouminus(X2,X3)|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)!=X4|~class_OrderedGroup_Oab__group__add(X3))).
% 0.19/0.43  cnf(i_0_494, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3))).
% 0.19/0.43  cnf(i_0_612, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)|~class_Lattices_Olower__semilattice(X3))).
% 0.19/0.43  cnf(i_0_663, plain, (c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)|~class_Lattices_Olower__semilattice(X4)|~c_lessequals(X1,X3,X4)|~c_lessequals(X1,X2,X4))).
% 0.19/0.43  cnf(i_0_633, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)|~class_Lattices_Oupper__semilattice(X3)|~c_lessequals(X2,X4,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_489, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)=c_HOL_Ominus__class_Ominus(X2,X1,X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.19/0.43  cnf(i_0_469, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))).
% 0.19/0.43  cnf(i_0_492, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2))).
% 0.19/0.43  cnf(i_0_399, plain, (c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)|~class_Orderings_Olinorder(X4)|~c_HOL_Oord__class_Oless(X1,X3,X4)|~c_HOL_Oord__class_Oless(X1,X2,X4))).
% 0.19/0.43  cnf(i_0_400, plain, (c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)|~class_Orderings_Olinorder(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_575, plain, (c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)=c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_683, plain, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_lessequals(X3,X1,X2))).
% 0.19/0.43  cnf(i_0_533, plain, (c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)|~class_Ring__and__Field_Oordered__idom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~c_HOL_Oord__class_Oless(X1,X3,X2))).
% 0.19/0.43  cnf(i_0_414, plain, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add(X2)|~c_HOL_Oord__class_Oless(X3,X1,X2))).
% 0.19/0.43  cnf(i_0_480, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)=c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_622, plain, (c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_Ring__and__Field_Oordered__idom(X4)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X4),X4),X3,X4))).
% 0.19/0.43  cnf(i_0_582, plain, (c_HOL_Oplus__class_Oplus(X1,X2,X3)=X4|c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3)!=c_HOL_Oplus__class_Oplus(X5,X4,X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.19/0.43  cnf(i_0_573, plain, (c_HOL_Ouminus__class_Ouminus(X1,X2)=X3|c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2)!=c_Orderings_Otop__class_Otop(X2)|c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2)!=c_Orderings_Obot__class_Obot(X2)|~class_Lattices_Oboolean__algebra(X2))).
% 0.19/0.43  cnf(i_0_625, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)|~class_OrderedGroup_Ogroup__add(X3))).
% 0.19/0.43  cnf(i_0_626, plain, (c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.19/0.43  cnf(i_0_674, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_670, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_675, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.43  cnf(i_0_672, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_lessequals(X2,X4,X3))).
% 0.19/0.43  cnf(i_0_553, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.19/0.43  cnf(i_0_472, plain, (c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))).
% 0.19/0.43  cnf(i_0_473, plain, (c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)|~class_Lattices_Oboolean__algebra(X3))).
% 0.19/0.43  cnf(i_0_433, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.43  cnf(i_0_432, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Ocomm__monoid__add(X3))).
% 0.19/0.43  cnf(i_0_435, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~class_OrderedGroup_Oab__semigroup__add(X3))).
% 0.19/0.43  cnf(i_0_447, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Oupper__semilattice(X3))).
% 0.19/0.43  cnf(i_0_449, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.43  cnf(i_0_407, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.43  cnf(i_0_552, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2),X2)|~class_Lattices_Oboolean__algebra(X2))).
% 0.19/0.43  cnf(i_0_409, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)=c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Olower__semilattice(X3))).
% 0.19/0.43  cnf(i_0_621, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_620, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_618, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.43  cnf(i_0_617, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)|~c_HOL_Oord__class_Oless(X2,X4,X3))).
% 0.19/0.43  cnf(i_0_613, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)|~class_OrderedGroup_Oab__group__add(X2))).
% 0.19/0.43  cnf(i_0_526, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__ab__semigroup__add(X3)|~c_lessequals(X2,X5,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_383, plain, (c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)=c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)|~class_RealVector_Oreal__normed__vector(X3))).
% 0.19/0.43  cnf(i_0_548, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))).
% 0.19/0.43  cnf(i_0_420, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oabs__class_Oabs(X3,X4),X4),X4)|~class_OrderedGroup_Olordered__ab__group__add__abs(X4)|~c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X4),X2,X4))).
% 0.19/0.43  cnf(i_0_624, plain, (c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2),X2)=c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2)|~class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.19/0.43  cnf(i_0_403, plain, (c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)=c_HOL_Oplus__class_Oplus(X1,X2,X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))).
% 0.19/0.43  cnf(i_0_466, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3))).
% 0.19/0.43  cnf(i_0_543, plain, (c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)=c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4)|~class_Orderings_Olinorder(X4))).
% 0.19/0.43  cnf(i_0_544, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)=c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X3),c_Orderings_Oord__class_Omax(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_498, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)|~class_OrderedGroup_Opordered__ab__group__add(X4)|~c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)|~c_lessequals(X5,X3,X4))).
% 0.19/0.43  cnf(i_0_576, plain, (c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)=c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X4),X4)|~class_Orderings_Olinorder(X4))).
% 0.19/0.43  cnf(i_0_490, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X1,X4,X3)|~c_lessequals(X2,X5,X3))).
% 0.19/0.43  cnf(i_0_491, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_lessequals(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_386, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X3))).
% 0.19/0.43  cnf(i_0_384, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X3))).
% 0.19/0.43  cnf(i_0_431, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_OrderedGroup_Ocomm__monoid__add(X4))).
% 0.19/0.43  cnf(i_0_479, plain, (c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)=c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X4),X4)|~class_Orderings_Olinorder(X4))).
% 0.19/0.43  cnf(i_0_394, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)|~class_Lattices_Odistrib__lattice(X4))).
% 0.19/0.43  cnf(i_0_585, plain, (c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)=c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3))).
% 0.19/0.43  cnf(i_0_581, plain, (c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)=c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3))).
% 0.19/0.43  cnf(i_0_395, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Odistrib__lattice(X3))).
% 0.19/0.43  cnf(i_0_401, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X1,X4,X3),X3)=c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_607, plain, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)|~c_HOL_Oord__class_Oless(X2,X5,X3)|~c_HOL_Oord__class_Oless(X1,X4,X3))).
% 0.19/0.43  cnf(i_0_438, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4))).
% 0.19/0.43  cnf(i_0_434, plain, (c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)|~class_OrderedGroup_Oab__group__add(X4))).
% 0.19/0.43  cnf(i_0_446, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)|~class_Lattices_Oupper__semilattice(X4))).
% 0.19/0.43  cnf(i_0_448, plain, (c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)=c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)|~class_Lattices_Olattice(X4))).
% 0.19/0.43  cnf(i_0_402, plain, (c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X4,X2,X3),X3)=c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.43  cnf(i_0_391, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))).
% 0.19/0.43  cnf(i_0_392, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add__join(X3))).
% 0.19/0.43  cnf(i_0_578, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))).
% 0.19/0.43  cnf(i_0_579, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)=c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_OrderedGroup_Olordered__ab__group__add__meet(X3))).
% 0.19/0.43  cnf(i_0_408, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)|~class_Lattices_Olattice(X4))).
% 0.19/0.43  cnf(i_0_410, plain, (c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)=c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)|~class_Lattices_Olower__semilattice(X4))).
% 0.19/0.43  cnf(i_0_437, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.43  cnf(i_0_536, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)|~class_Lattices_Odistrib__lattice(X3))).
% 0.19/0.44  cnf(i_0_390, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))).
% 0.19/0.44  cnf(i_0_614, plain, (c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2)=c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.44  cnf(i_0_393, plain, (c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)|~class_OrderedGroup_Olordered__ab__group__add__join(X3))).
% 0.19/0.44  cnf(i_0_577, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)|~class_OrderedGroup_Olordered__ab__group__add(X3))).
% 0.19/0.44  cnf(i_0_580, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)|~class_OrderedGroup_Olordered__ab__group__add__meet(X3))).
% 0.19/0.44  cnf(i_0_561, plain, (c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3))).
% 0.19/0.44  cnf(i_0_550, plain, (c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)=c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3))).
% 0.19/0.44  cnf(i_0_537, plain, (c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)|~class_Lattices_Odistrib__lattice(X3))).
% 0.19/0.44  cnf(i_0_385, plain, (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(X4,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X3),X5,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X3),X4,tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X3))).
% 0.19/0.44  cnf(i_0_610, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))).
% 0.19/0.44  cnf(i_0_440, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))).
% 0.19/0.44  cnf(i_0_545, plain, (c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.44  cnf(i_0_459, plain, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3)|~class_OrderedGroup_Oab__group__add(X3))).
% 0.19/0.44  cnf(i_0_398, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)|~class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 0.19/0.44  cnf(i_0_483, plain, (c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)|~class_Ring__and__Field_Oordered__idom(X3)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3))).
% 0.19/0.44  cnf(i_0_623, plain, (c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4),X4)|~class_Orderings_Olinorder(X4))).
% 0.19/0.44  cnf(i_0_554, plain, (c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X1,X4,X3),X3),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3),X3)|~class_Orderings_Olinorder(X3))).
% 0.19/0.44  cnf(i_0_418, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4)|~class_Lattices_Olattice(X4))).
% 0.19/0.44  cnf(i_0_574, plain, (c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3)|~class_Lattices_Olattice(X3))).
% 0.19/0.44  cnf(i_0_556, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3))).
% 0.19/0.44  cnf(i_0_430, plain, (c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__vector(X3))).
% 0.19/0.44  cnf(i_0_583, plain, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)|~class_OrderedGroup_Opordered__ab__group__add__abs(X3))).
% 0.19/0.44  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.44  # Begin printing tableau
% 0.19/0.44  # Found 6 steps
% 0.19/0.44  cnf(i_0_733, negated_conjecture, (~c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal)), inference(start_rule)).
% 0.19/0.44  cnf(i_0_761, plain, (~c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal)), inference(extension_rule, [i_0_515])).
% 0.19/0.44  cnf(i_0_1160, plain, (c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal)), inference(closure_rule, [i_0_733])).
% 0.19/0.44  cnf(i_0_1161, plain, (~class_Orderings_Olinorder(tc_RealDef_Oreal)), inference(closure_rule, [i_0_757])).
% 0.19/0.44  cnf(i_0_1162, plain, (~c_lessequals(c_Orderings_Oord__class_Omin(v_xa,v_xa,tc_RealDef_Oreal),v_Y____,tc_RealDef_Oreal)), inference(extension_rule, [i_0_705])).
% 0.19/0.44  cnf(i_0_1523, plain, (~c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(v_xa,v_xa,tc_RealDef_Oreal),v_Y____,tc_RealDef_Oreal)), inference(etableau_closure_rule, [i_0_1523, ...])).
% 0.19/0.44  # End printing tableau
% 0.19/0.44  # SZS output end
% 0.19/0.44  # Branches closed with saturation will be marked with an "s"
% 0.19/0.44  # Child (10494) has found a proof.
% 0.19/0.44  
% 0.19/0.44  # Proof search is over...
% 0.19/0.44  # Freeing feature tree
%------------------------------------------------------------------------------