%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU384+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art04.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 04:28:11 EST 2010

% Result   : Theorem 140.24s
% Output   : Solution 142.44s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP10980/SEU384+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~t12_waybel_9:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ... not found
% Looking for CSA axiom ... existence_l1_struct_0:
% existence_l1_waybel_0:
%  CSA axiom existence_l1_waybel_0 found
% Looking for CSA axiom ... existence_m1_subset_1:
%  CSA axiom existence_m1_subset_1 found
% Looking for CSA axiom ... rc3_struct_0:
% dt_k5_waybel_9:
%  CSA axiom dt_k5_waybel_9 found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... existence_l1_struct_0:
% rc3_struct_0:
% fc1_struct_0: CSA axiom fc1_struct_0 found
% Looking for CSA axiom ... fraenkel_a_3_0_waybel_9:
%  CSA axiom fraenkel_a_3_0_waybel_9 found
% Looking for CSA axiom ... rc5_struct_0:
%  CSA axiom rc5_struct_0 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... existence_l1_struct_0:
% rc3_struct_0:
% rc4_waybel_0:
%  CSA axiom rc4_waybel_0 found
% Looking for CSA axiom ... dt_l1_waybel_0:
%  CSA axiom dt_l1_waybel_0 found
% Looking for CSA axiom ... t8_boole:
%  CSA axiom t8_boole found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... existence_l1_struct_0:
% rc3_struct_0:
% antisymmetry_r2_hidden:
%  CSA axiom antisymmetry_r2_hidden found
% Looking for CSA axiom ... existence_l1_orders_2:
% existence_m1_relset_1:
%  CSA axiom existence_m1_relset_1 found
% Looking for CSA axiom ... existence_m2_relset_1:
%  CSA axiom existence_m2_relset_1 found
% ---- Iteration 5 (12 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... existence_l1_struct_0:
% rc3_struct_0:
% existence_l1_orders_2:
% rc1_funct_1:
%  CSA axiom rc1_funct_1 found
% Looking for CSA axiom ... rc1_xboole_0:
%  CSA axiom rc1_xboole_0 found
% Looking for CSA axiom ... rc2_funct_1:
%  CSA axiom rc2_funct_1 found
% ---- Iteration 6 (15 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... existence_l1_struct_0:
% rc3_struct_0:
% existence_l1_orders_2:
% rc2_xboole_0:
% t1_subset:
%  CSA axiom t1_subset found
% Looking for CSA axiom ... t2_tarski:
%  CSA axiom t2_tarski found
% Looking for CSA axiom ... d10_xboole_0:
%  CSA axiom d10_xboole_0 found
% ---- Iteration 7 (18 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... existence_l1_struct_0:
% rc3_struct_0:
% existence_l1_orders_2:
% rc2_xboole_0:
% d7_waybel_9:
%  CSA axiom d7_waybel_9 found
% Looking for CSA axiom ... abstractness_v6_waybel_0:
%  CSA axiom abstractness_v6_waybel_0 found
% Looking for CSA axiom ... dt_l1_orders_2: CSA axiom dt_l1_orders_2 found
% ---- Iteration 8 (21 axioms selected)
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :dt_l1_orders_2:abstractness_v6_waybel_0:d7_waybel_9:d10_xboole_0:t2_tarski:t1_subset:rc2_funct_1:rc1_xboole_0:rc1_funct_1:existence_m2_relset_1:existence_m1_relset_1:antisymmetry_r2_hidden:t8_boole:dt_l1_waybel_0:rc4_waybel_0:rc5_struct_0:fraenkel_a_3_0_waybel_9:fc1_struct_0:dt_k5_waybel_9:existence_m1_subset_1:existence_l1_waybel_0 (21)
% Unselected axioms are ... :existence_l1_struct_0:rc3_struct_0:existence_l1_orders_2:rc2_xboole_0:fc15_yellow_6:free_g1_waybel_0:dt_u1_waybel_0:rc1_funct_2:t5_subset:dt_g1_waybel_0:rc3_finset_1:rc4_finset_1:cc2_funct_1:t2_subset:cc1_finset_1:cc1_finsub_1:cc2_finsub_1:fc6_waybel_0:rc1_finset_1:reflexivity_r1_tarski:t4_subset:cc2_finset_1:t3_subset:fc4_funct_1:rc3_funct_1:t6_boole:cc5_funct_2:cc6_funct_2:redefinition_k2_partfun1:t7_boole:dt_u1_orders_2:redefinition_k1_toler_1:cc1_funct_1:cc1_funct_2:cc1_relset_1:d3_tarski:dt_m2_relset_1:redefinition_m2_relset_1:dt_k2_partfun1:dt_k2_wellord1:dt_k7_relat_1:dt_k1_toler_1:fc1_xboole_0:fc1_finsub_1:fc14_finset_1:dt_k1_xboole_0:dt_k1_zfmisc_1:dt_k2_zfmisc_1:dt_l1_struct_0:dt_m1_relset_1:dt_m1_subset_1:dt_u1_struct_0 (52)
% SZS status THM for /tmp/SystemOnTPTP10980/SEU384+1.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP10980/SEU384+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=600 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p 
% TreeLimitedRun: CPU time limit is 600s
% TreeLimitedRun: WC  time limit is 1200s
% TreeLimitedRun: PID is 17757
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time     : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>![X4]:((strict_net_str(X4,X1)&net_str(X4,X1))=>(X4=netstr_restr_to_element(X1,X2,X3)<=>((![X5]:(in(X5,the_carrier(X4))<=>?[X6]:((element(X6,the_carrier(X2))&X6=X5)&related(X2,X3,X6)))&the_InternalRel(X4)=relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X4)))&the_mapping(X1,X4)=partfun_dom_restriction(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X4)))))))),file('/tmp/SRASS.s.p', d7_waybel_9)).
% fof(5, axiom,![X1]:![X2]:(![X3]:(in(X3,X1)<=>in(X3,X2))=>X1=X2),file('/tmp/SRASS.s.p', t2_tarski)).
% fof(17, axiom,![X1]:![X2]:![X3]:![X4]:(((((~(empty_carrier(X2))&one_sorted_str(X2))&~(empty_carrier(X3)))&net_str(X3,X2))&element(X4,the_carrier(X3)))=>(in(X1,a_3_0_waybel_9(X2,X3,X4))<=>?[X5]:((element(X5,the_carrier(X3))&X1=X5)&related(X3,X4,X5)))),file('/tmp/SRASS.s.p', fraenkel_a_3_0_waybel_9)).
% fof(19, axiom,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&one_sorted_str(X1))&~(empty_carrier(X2)))&net_str(X2,X1))&element(X3,the_carrier(X2)))=>(strict_net_str(netstr_restr_to_element(X1,X2,X3),X1)&net_str(netstr_restr_to_element(X1,X2,X3),X1))),file('/tmp/SRASS.s.p', dt_k5_waybel_9)).
% fof(22, conjecture,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>the_carrier(netstr_restr_to_element(X1,X2,X3))=a_3_0_waybel_9(X1,X2,X3)))),file('/tmp/SRASS.s.p', t12_waybel_9)).
% fof(23, negated_conjecture,~(![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>the_carrier(netstr_restr_to_element(X1,X2,X3))=a_3_0_waybel_9(X1,X2,X3))))),inference(assume_negation,[status(cth)],[22])).
% fof(24, plain,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>![X4]:((strict_net_str(X4,X1)&net_str(X4,X1))=>(X4=netstr_restr_to_element(X1,X2,X3)<=>((![X5]:(in(X5,the_carrier(X4))<=>?[X6]:((element(X6,the_carrier(X2))&X6=X5)&related(X2,X3,X6)))&the_InternalRel(X4)=relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X4)))&the_mapping(X1,X4)=partfun_dom_restriction(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X4)))))))),inference(fof_simplification,[status(thm)],[3,theory(equality)])).
% fof(27, plain,![X1]:![X2]:![X3]:![X4]:(((((~(empty_carrier(X2))&one_sorted_str(X2))&~(empty_carrier(X3)))&net_str(X3,X2))&element(X4,the_carrier(X3)))=>(in(X1,a_3_0_waybel_9(X2,X3,X4))<=>?[X5]:((element(X5,the_carrier(X3))&X1=X5)&related(X3,X4,X5)))),inference(fof_simplification,[status(thm)],[17,theory(equality)])).
% fof(29, plain,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&one_sorted_str(X1))&~(empty_carrier(X2)))&net_str(X2,X1))&element(X3,the_carrier(X2)))=>(strict_net_str(netstr_restr_to_element(X1,X2,X3),X1)&net_str(netstr_restr_to_element(X1,X2,X3),X1))),inference(fof_simplification,[status(thm)],[19,theory(equality)])).
% fof(30, negated_conjecture,~(![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>the_carrier(netstr_restr_to_element(X1,X2,X3))=a_3_0_waybel_9(X1,X2,X3))))),inference(fof_simplification,[status(thm)],[23,theory(equality)])).
% fof(37, plain,![X1]:((empty_carrier(X1)|~(one_sorted_str(X1)))|![X2]:((empty_carrier(X2)|~(net_str(X2,X1)))|![X3]:(~(element(X3,the_carrier(X2)))|![X4]:((~(strict_net_str(X4,X1))|~(net_str(X4,X1)))|((~(X4=netstr_restr_to_element(X1,X2,X3))|((![X5]:((~(in(X5,the_carrier(X4)))|?[X6]:((element(X6,the_carrier(X2))&X6=X5)&related(X2,X3,X6)))&(![X6]:((~(element(X6,the_carrier(X2)))|~(X6=X5))|~(related(X2,X3,X6)))|in(X5,the_carrier(X4))))&the_InternalRel(X4)=relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X4)))&the_mapping(X1,X4)=partfun_dom_restriction(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X4))))&(((?[X5]:((~(in(X5,the_carrier(X4)))|![X6]:((~(element(X6,the_carrier(X2)))|~(X6=X5))|~(related(X2,X3,X6))))&(in(X5,the_carrier(X4))|?[X6]:((element(X6,the_carrier(X2))&X6=X5)&related(X2,X3,X6))))|~(the_InternalRel(X4)=relation_restriction_as_relation_of(the_InternalRel(X2),the_carrier(X4))))|~(the_mapping(X1,X4)=partfun_dom_restriction(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X4))))|X4=netstr_restr_to_element(X1,X2,X3))))))),inference(fof_nnf,[status(thm)],[24])).
% fof(38, plain,![X7]:((empty_carrier(X7)|~(one_sorted_str(X7)))|![X8]:((empty_carrier(X8)|~(net_str(X8,X7)))|![X9]:(~(element(X9,the_carrier(X8)))|![X10]:((~(strict_net_str(X10,X7))|~(net_str(X10,X7)))|((~(X10=netstr_restr_to_element(X7,X8,X9))|((![X11]:((~(in(X11,the_carrier(X10)))|?[X12]:((element(X12,the_carrier(X8))&X12=X11)&related(X8,X9,X12)))&(![X13]:((~(element(X13,the_carrier(X8)))|~(X13=X11))|~(related(X8,X9,X13)))|in(X11,the_carrier(X10))))&the_InternalRel(X10)=relation_restriction_as_relation_of(the_InternalRel(X8),the_carrier(X10)))&the_mapping(X7,X10)=partfun_dom_restriction(the_carrier(X8),the_carrier(X7),the_mapping(X7,X8),the_carrier(X10))))&(((?[X14]:((~(in(X14,the_carrier(X10)))|![X15]:((~(element(X15,the_carrier(X8)))|~(X15=X14))|~(related(X8,X9,X15))))&(in(X14,the_carrier(X10))|?[X16]:((element(X16,the_carrier(X8))&X16=X14)&related(X8,X9,X16))))|~(the_InternalRel(X10)=relation_restriction_as_relation_of(the_InternalRel(X8),the_carrier(X10))))|~(the_mapping(X7,X10)=partfun_dom_restriction(the_carrier(X8),the_carrier(X7),the_mapping(X7,X8),the_carrier(X10))))|X10=netstr_restr_to_element(X7,X8,X9))))))),inference(variable_rename,[status(thm)],[37])).
% fof(39, plain,![X7]:((empty_carrier(X7)|~(one_sorted_str(X7)))|![X8]:((empty_carrier(X8)|~(net_str(X8,X7)))|![X9]:(~(element(X9,the_carrier(X8)))|![X10]:((~(strict_net_str(X10,X7))|~(net_str(X10,X7)))|((~(X10=netstr_restr_to_element(X7,X8,X9))|((![X11]:((~(in(X11,the_carrier(X10)))|((element(esk1_5(X7,X8,X9,X10,X11),the_carrier(X8))&esk1_5(X7,X8,X9,X10,X11)=X11)&related(X8,X9,esk1_5(X7,X8,X9,X10,X11))))&(![X13]:((~(element(X13,the_carrier(X8)))|~(X13=X11))|~(related(X8,X9,X13)))|in(X11,the_carrier(X10))))&the_InternalRel(X10)=relation_restriction_as_relation_of(the_InternalRel(X8),the_carrier(X10)))&the_mapping(X7,X10)=partfun_dom_restriction(the_carrier(X8),the_carrier(X7),the_mapping(X7,X8),the_carrier(X10))))&(((((~(in(esk2_4(X7,X8,X9,X10),the_carrier(X10)))|![X15]:((~(element(X15,the_carrier(X8)))|~(X15=esk2_4(X7,X8,X9,X10)))|~(related(X8,X9,X15))))&(in(esk2_4(X7,X8,X9,X10),the_carrier(X10))|((element(esk3_4(X7,X8,X9,X10),the_carrier(X8))&esk3_4(X7,X8,X9,X10)=esk2_4(X7,X8,X9,X10))&related(X8,X9,esk3_4(X7,X8,X9,X10)))))|~(the_InternalRel(X10)=relation_restriction_as_relation_of(the_InternalRel(X8),the_carrier(X10))))|~(the_mapping(X7,X10)=partfun_dom_restriction(the_carrier(X8),the_carrier(X7),the_mapping(X7,X8),the_carrier(X10))))|X10=netstr_restr_to_element(X7,X8,X9))))))),inference(skolemize,[status(esa)],[38])).
% fof(40, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X13]:![X15]:((((((((((((~(element(X15,the_carrier(X8)))|~(X15=esk2_4(X7,X8,X9,X10)))|~(related(X8,X9,X15)))|~(in(esk2_4(X7,X8,X9,X10),the_carrier(X10))))&(in(esk2_4(X7,X8,X9,X10),the_carrier(X10))|((element(esk3_4(X7,X8,X9,X10),the_carrier(X8))&esk3_4(X7,X8,X9,X10)=esk2_4(X7,X8,X9,X10))&related(X8,X9,esk3_4(X7,X8,X9,X10)))))|~(the_InternalRel(X10)=relation_restriction_as_relation_of(the_InternalRel(X8),the_carrier(X10))))|~(the_mapping(X7,X10)=partfun_dom_restriction(the_carrier(X8),the_carrier(X7),the_mapping(X7,X8),the_carrier(X10))))|X10=netstr_restr_to_element(X7,X8,X9))&(((((((~(element(X13,the_carrier(X8)))|~(X13=X11))|~(related(X8,X9,X13)))|in(X11,the_carrier(X10)))&(~(in(X11,the_carrier(X10)))|((element(esk1_5(X7,X8,X9,X10,X11),the_carrier(X8))&esk1_5(X7,X8,X9,X10,X11)=X11)&related(X8,X9,esk1_5(X7,X8,X9,X10,X11)))))&the_InternalRel(X10)=relation_restriction_as_relation_of(the_InternalRel(X8),the_carrier(X10)))&the_mapping(X7,X10)=partfun_dom_restriction(the_carrier(X8),the_carrier(X7),the_mapping(X7,X8),the_carrier(X10)))|~(X10=netstr_restr_to_element(X7,X8,X9))))|(~(strict_net_str(X10,X7))|~(net_str(X10,X7))))|~(element(X9,the_carrier(X8))))|(empty_carrier(X8)|~(net_str(X8,X7))))|(empty_carrier(X7)|~(one_sorted_str(X7)))),inference(shift_quantors,[status(thm)],[39])).
% fof(41, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X13]:![X15]:((((((((((((~(element(X15,the_carrier(X8)))|~(X15=esk2_4(X7,X8,X9,X10)))|~(related(X8,X9,X15)))|~(in(esk2_4(X7,X8,X9,X10),the_carrier(X10))))|~(the_InternalRel(X10)=relation_restriction_as_relation_of(the_InternalRel(X8),the_carrier(X10))))|~(the_mapping(X7,X10)=partfun_dom_restriction(the_carrier(X8),the_carrier(X7),the_mapping(X7,X8),the_carrier(X10))))|X10=netstr_restr_to_element(X7,X8,X9))|(~(strict_net_str(X10,X7))|~(net_str(X10,X7))))|~(element(X9,the_carrier(X8))))|(empty_carrier(X8)|~(net_str(X8,X7))))|(empty_carrier(X7)|~(one_sorted_str(X7))))&((((((((((element(esk3_4(X7,X8,X9,X10),the_carrier(X8))|in(esk2_4(X7,X8,X9,X10),the_carrier(X10)))|~(the_InternalRel(X10)=relation_restriction_as_relation_of(the_InternalRel(X8),the_carrier(X10))))|~(the_mapping(X7,X10)=partfun_dom_restriction(the_carrier(X8),the_carrier(X7),the_mapping(X7,X8),the_carrier(X10))))|X10=netstr_restr_to_element(X7,X8,X9))|(~(strict_net_str(X10,X7))|~(net_str(X10,X7))))|~(element(X9,the_carrier(X8))))|(empty_carrier(X8)|~(net_str(X8,X7))))|(empty_carrier(X7)|~(one_sorted_str(X7))))&((((((((esk3_4(X7,X8,X9,X10)=esk2_4(X7,X8,X9,X10)|in(esk2_4(X7,X8,X9,X10),the_carrier(X10)))|~(the_InternalRel(X10)=relation_restriction_as_relation_of(the_InternalRel(X8),the_carrier(X10))))|~(the_mapping(X7,X10)=partfun_dom_restriction(the_carrier(X8),the_carrier(X7),the_mapping(X7,X8),the_carrier(X10))))|X10=netstr_restr_to_element(X7,X8,X9))|(~(strict_net_str(X10,X7))|~(net_str(X10,X7))))|~(element(X9,the_carrier(X8))))|(empty_carrier(X8)|~(net_str(X8,X7))))|(empty_carrier(X7)|~(one_sorted_str(X7)))))&((((((((related(X8,X9,esk3_4(X7,X8,X9,X10))|in(esk2_4(X7,X8,X9,X10),the_carrier(X10)))|~(the_InternalRel(X10)=relation_restriction_as_relation_of(the_InternalRel(X8),the_carrier(X10))))|~(the_mapping(X7,X10)=partfun_dom_restriction(the_carrier(X8),the_carrier(X7),the_mapping(X7,X8),the_carrier(X10))))|X10=netstr_restr_to_element(X7,X8,X9))|(~(strict_net_str(X10,X7))|~(net_str(X10,X7))))|~(element(X9,the_carrier(X8))))|(empty_carrier(X8)|~(net_str(X8,X7))))|(empty_carrier(X7)|~(one_sorted_str(X7))))))&(((((((((((~(element(X13,the_carrier(X8)))|~(X13=X11))|~(related(X8,X9,X13)))|in(X11,the_carrier(X10)))|~(X10=netstr_restr_to_element(X7,X8,X9)))|(~(strict_net_str(X10,X7))|~(net_str(X10,X7))))|~(element(X9,the_carrier(X8))))|(empty_carrier(X8)|~(net_str(X8,X7))))|(empty_carrier(X7)|~(one_sorted_str(X7))))&((((((((element(esk1_5(X7,X8,X9,X10,X11),the_carrier(X8))|~(in(X11,the_carrier(X10))))|~(X10=netstr_restr_to_element(X7,X8,X9)))|(~(strict_net_str(X10,X7))|~(net_str(X10,X7))))|~(element(X9,the_carrier(X8))))|(empty_carrier(X8)|~(net_str(X8,X7))))|(empty_carrier(X7)|~(one_sorted_str(X7))))&((((((esk1_5(X7,X8,X9,X10,X11)=X11|~(in(X11,the_carrier(X10))))|~(X10=netstr_restr_to_element(X7,X8,X9)))|(~(strict_net_str(X10,X7))|~(net_str(X10,X7))))|~(element(X9,the_carrier(X8))))|(empty_carrier(X8)|~(net_str(X8,X7))))|(empty_carrier(X7)|~(one_sorted_str(X7)))))&((((((related(X8,X9,esk1_5(X7,X8,X9,X10,X11))|~(in(X11,the_carrier(X10))))|~(X10=netstr_restr_to_element(X7,X8,X9)))|(~(strict_net_str(X10,X7))|~(net_str(X10,X7))))|~(element(X9,the_carrier(X8))))|(empty_carrier(X8)|~(net_str(X8,X7))))|(empty_carrier(X7)|~(one_sorted_str(X7))))))&(((((the_InternalRel(X10)=relation_restriction_as_relation_of(the_InternalRel(X8),the_carrier(X10))|~(X10=netstr_restr_to_element(X7,X8,X9)))|(~(strict_net_str(X10,X7))|~(net_str(X10,X7))))|~(element(X9,the_carrier(X8))))|(empty_carrier(X8)|~(net_str(X8,X7))))|(empty_carrier(X7)|~(one_sorted_str(X7)))))&(((((the_mapping(X7,X10)=partfun_dom_restriction(the_carrier(X8),the_carrier(X7),the_mapping(X7,X8),the_carrier(X10))|~(X10=netstr_restr_to_element(X7,X8,X9)))|(~(strict_net_str(X10,X7))|~(net_str(X10,X7))))|~(element(X9,the_carrier(X8))))|(empty_carrier(X8)|~(net_str(X8,X7))))|(empty_carrier(X7)|~(one_sorted_str(X7)))))),inference(distribute,[status(thm)],[40])).
% cnf(44,plain,(empty_carrier(X1)|empty_carrier(X2)|related(X2,X3,esk1_5(X1,X2,X3,X4,X5))|~one_sorted_str(X1)|~net_str(X2,X1)|~element(X3,the_carrier(X2))|~net_str(X4,X1)|~strict_net_str(X4,X1)|X4!=netstr_restr_to_element(X1,X2,X3)|~in(X5,the_carrier(X4))),inference(split_conjunct,[status(thm)],[41])).
% cnf(45,plain,(empty_carrier(X1)|empty_carrier(X2)|esk1_5(X1,X2,X3,X4,X5)=X5|~one_sorted_str(X1)|~net_str(X2,X1)|~element(X3,the_carrier(X2))|~net_str(X4,X1)|~strict_net_str(X4,X1)|X4!=netstr_restr_to_element(X1,X2,X3)|~in(X5,the_carrier(X4))),inference(split_conjunct,[status(thm)],[41])).
% cnf(46,plain,(empty_carrier(X1)|empty_carrier(X2)|element(esk1_5(X1,X2,X3,X4,X5),the_carrier(X2))|~one_sorted_str(X1)|~net_str(X2,X1)|~element(X3,the_carrier(X2))|~net_str(X4,X1)|~strict_net_str(X4,X1)|X4!=netstr_restr_to_element(X1,X2,X3)|~in(X5,the_carrier(X4))),inference(split_conjunct,[status(thm)],[41])).
% cnf(47,plain,(empty_carrier(X1)|empty_carrier(X2)|in(X5,the_carrier(X4))|~one_sorted_str(X1)|~net_str(X2,X1)|~element(X3,the_carrier(X2))|~net_str(X4,X1)|~strict_net_str(X4,X1)|X4!=netstr_restr_to_element(X1,X2,X3)|~related(X2,X3,X6)|X6!=X5|~element(X6,the_carrier(X2))),inference(split_conjunct,[status(thm)],[41])).
% fof(58, plain,![X1]:![X2]:(?[X3]:((~(in(X3,X1))|~(in(X3,X2)))&(in(X3,X1)|in(X3,X2)))|X1=X2),inference(fof_nnf,[status(thm)],[5])).
% fof(59, plain,![X4]:![X5]:(?[X6]:((~(in(X6,X4))|~(in(X6,X5)))&(in(X6,X4)|in(X6,X5)))|X4=X5),inference(variable_rename,[status(thm)],[58])).
% fof(60, plain,![X4]:![X5]:(((~(in(esk4_2(X4,X5),X4))|~(in(esk4_2(X4,X5),X5)))&(in(esk4_2(X4,X5),X4)|in(esk4_2(X4,X5),X5)))|X4=X5),inference(skolemize,[status(esa)],[59])).
% fof(61, plain,![X4]:![X5]:(((~(in(esk4_2(X4,X5),X4))|~(in(esk4_2(X4,X5),X5)))|X4=X5)&((in(esk4_2(X4,X5),X4)|in(esk4_2(X4,X5),X5))|X4=X5)),inference(distribute,[status(thm)],[60])).
% cnf(62,plain,(X1=X2|in(esk4_2(X1,X2),X2)|in(esk4_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[61])).
% cnf(63,plain,(X1=X2|~in(esk4_2(X1,X2),X2)|~in(esk4_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[61])).
% fof(107, plain,![X1]:![X2]:![X3]:![X4]:(((((empty_carrier(X2)|~(one_sorted_str(X2)))|empty_carrier(X3))|~(net_str(X3,X2)))|~(element(X4,the_carrier(X3))))|((~(in(X1,a_3_0_waybel_9(X2,X3,X4)))|?[X5]:((element(X5,the_carrier(X3))&X1=X5)&related(X3,X4,X5)))&(![X5]:((~(element(X5,the_carrier(X3)))|~(X1=X5))|~(related(X3,X4,X5)))|in(X1,a_3_0_waybel_9(X2,X3,X4))))),inference(fof_nnf,[status(thm)],[27])).
% fof(108, plain,![X6]:![X7]:![X8]:![X9]:(((((empty_carrier(X7)|~(one_sorted_str(X7)))|empty_carrier(X8))|~(net_str(X8,X7)))|~(element(X9,the_carrier(X8))))|((~(in(X6,a_3_0_waybel_9(X7,X8,X9)))|?[X10]:((element(X10,the_carrier(X8))&X6=X10)&related(X8,X9,X10)))&(![X11]:((~(element(X11,the_carrier(X8)))|~(X6=X11))|~(related(X8,X9,X11)))|in(X6,a_3_0_waybel_9(X7,X8,X9))))),inference(variable_rename,[status(thm)],[107])).
% fof(109, plain,![X6]:![X7]:![X8]:![X9]:(((((empty_carrier(X7)|~(one_sorted_str(X7)))|empty_carrier(X8))|~(net_str(X8,X7)))|~(element(X9,the_carrier(X8))))|((~(in(X6,a_3_0_waybel_9(X7,X8,X9)))|((element(esk12_4(X6,X7,X8,X9),the_carrier(X8))&X6=esk12_4(X6,X7,X8,X9))&related(X8,X9,esk12_4(X6,X7,X8,X9))))&(![X11]:((~(element(X11,the_carrier(X8)))|~(X6=X11))|~(related(X8,X9,X11)))|in(X6,a_3_0_waybel_9(X7,X8,X9))))),inference(skolemize,[status(esa)],[108])).
% fof(110, plain,![X6]:![X7]:![X8]:![X9]:![X11]:(((((~(element(X11,the_carrier(X8)))|~(X6=X11))|~(related(X8,X9,X11)))|in(X6,a_3_0_waybel_9(X7,X8,X9)))&(~(in(X6,a_3_0_waybel_9(X7,X8,X9)))|((element(esk12_4(X6,X7,X8,X9),the_carrier(X8))&X6=esk12_4(X6,X7,X8,X9))&related(X8,X9,esk12_4(X6,X7,X8,X9)))))|((((empty_carrier(X7)|~(one_sorted_str(X7)))|empty_carrier(X8))|~(net_str(X8,X7)))|~(element(X9,the_carrier(X8))))),inference(shift_quantors,[status(thm)],[109])).
% fof(111, plain,![X6]:![X7]:![X8]:![X9]:![X11]:(((((~(element(X11,the_carrier(X8)))|~(X6=X11))|~(related(X8,X9,X11)))|in(X6,a_3_0_waybel_9(X7,X8,X9)))|((((empty_carrier(X7)|~(one_sorted_str(X7)))|empty_carrier(X8))|~(net_str(X8,X7)))|~(element(X9,the_carrier(X8)))))&((((element(esk12_4(X6,X7,X8,X9),the_carrier(X8))|~(in(X6,a_3_0_waybel_9(X7,X8,X9))))|((((empty_carrier(X7)|~(one_sorted_str(X7)))|empty_carrier(X8))|~(net_str(X8,X7)))|~(element(X9,the_carrier(X8)))))&((X6=esk12_4(X6,X7,X8,X9)|~(in(X6,a_3_0_waybel_9(X7,X8,X9))))|((((empty_carrier(X7)|~(one_sorted_str(X7)))|empty_carrier(X8))|~(net_str(X8,X7)))|~(element(X9,the_carrier(X8))))))&((related(X8,X9,esk12_4(X6,X7,X8,X9))|~(in(X6,a_3_0_waybel_9(X7,X8,X9))))|((((empty_carrier(X7)|~(one_sorted_str(X7)))|empty_carrier(X8))|~(net_str(X8,X7)))|~(element(X9,the_carrier(X8))))))),inference(distribute,[status(thm)],[110])).
% cnf(112,plain,(empty_carrier(X2)|empty_carrier(X3)|related(X2,X1,esk12_4(X4,X3,X2,X1))|~element(X1,the_carrier(X2))|~net_str(X2,X3)|~one_sorted_str(X3)|~in(X4,a_3_0_waybel_9(X3,X2,X1))),inference(split_conjunct,[status(thm)],[111])).
% cnf(113,plain,(empty_carrier(X2)|empty_carrier(X3)|X4=esk12_4(X4,X3,X2,X1)|~element(X1,the_carrier(X2))|~net_str(X2,X3)|~one_sorted_str(X3)|~in(X4,a_3_0_waybel_9(X3,X2,X1))),inference(split_conjunct,[status(thm)],[111])).
% cnf(114,plain,(empty_carrier(X2)|empty_carrier(X3)|element(esk12_4(X4,X3,X2,X1),the_carrier(X2))|~element(X1,the_carrier(X2))|~net_str(X2,X3)|~one_sorted_str(X3)|~in(X4,a_3_0_waybel_9(X3,X2,X1))),inference(split_conjunct,[status(thm)],[111])).
% cnf(115,plain,(empty_carrier(X2)|empty_carrier(X3)|in(X4,a_3_0_waybel_9(X3,X2,X1))|~element(X1,the_carrier(X2))|~net_str(X2,X3)|~one_sorted_str(X3)|~related(X2,X1,X5)|X4!=X5|~element(X5,the_carrier(X2))),inference(split_conjunct,[status(thm)],[111])).
% fof(119, plain,![X1]:![X2]:![X3]:(((((empty_carrier(X1)|~(one_sorted_str(X1)))|empty_carrier(X2))|~(net_str(X2,X1)))|~(element(X3,the_carrier(X2))))|(strict_net_str(netstr_restr_to_element(X1,X2,X3),X1)&net_str(netstr_restr_to_element(X1,X2,X3),X1))),inference(fof_nnf,[status(thm)],[29])).
% fof(120, plain,![X4]:![X5]:![X6]:(((((empty_carrier(X4)|~(one_sorted_str(X4)))|empty_carrier(X5))|~(net_str(X5,X4)))|~(element(X6,the_carrier(X5))))|(strict_net_str(netstr_restr_to_element(X4,X5,X6),X4)&net_str(netstr_restr_to_element(X4,X5,X6),X4))),inference(variable_rename,[status(thm)],[119])).
% fof(121, plain,![X4]:![X5]:![X6]:((strict_net_str(netstr_restr_to_element(X4,X5,X6),X4)|((((empty_carrier(X4)|~(one_sorted_str(X4)))|empty_carrier(X5))|~(net_str(X5,X4)))|~(element(X6,the_carrier(X5)))))&(net_str(netstr_restr_to_element(X4,X5,X6),X4)|((((empty_carrier(X4)|~(one_sorted_str(X4)))|empty_carrier(X5))|~(net_str(X5,X4)))|~(element(X6,the_carrier(X5)))))),inference(distribute,[status(thm)],[120])).
% cnf(122,plain,(empty_carrier(X2)|empty_carrier(X3)|net_str(netstr_restr_to_element(X3,X2,X1),X3)|~element(X1,the_carrier(X2))|~net_str(X2,X3)|~one_sorted_str(X3)),inference(split_conjunct,[status(thm)],[121])).
% cnf(123,plain,(empty_carrier(X2)|empty_carrier(X3)|strict_net_str(netstr_restr_to_element(X3,X2,X1),X3)|~element(X1,the_carrier(X2))|~net_str(X2,X3)|~one_sorted_str(X3)),inference(split_conjunct,[status(thm)],[121])).
% fof(131, negated_conjecture,?[X1]:((~(empty_carrier(X1))&one_sorted_str(X1))&?[X2]:((~(empty_carrier(X2))&net_str(X2,X1))&?[X3]:(element(X3,the_carrier(X2))&~(the_carrier(netstr_restr_to_element(X1,X2,X3))=a_3_0_waybel_9(X1,X2,X3))))),inference(fof_nnf,[status(thm)],[30])).
% fof(132, negated_conjecture,?[X4]:((~(empty_carrier(X4))&one_sorted_str(X4))&?[X5]:((~(empty_carrier(X5))&net_str(X5,X4))&?[X6]:(element(X6,the_carrier(X5))&~(the_carrier(netstr_restr_to_element(X4,X5,X6))=a_3_0_waybel_9(X4,X5,X6))))),inference(variable_rename,[status(thm)],[131])).
% fof(133, negated_conjecture,((~(empty_carrier(esk15_0))&one_sorted_str(esk15_0))&((~(empty_carrier(esk16_0))&net_str(esk16_0,esk15_0))&(element(esk17_0,the_carrier(esk16_0))&~(the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))=a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))))),inference(skolemize,[status(esa)],[132])).
% cnf(134,negated_conjecture,(the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))!=a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)),inference(split_conjunct,[status(thm)],[133])).
% cnf(135,negated_conjecture,(element(esk17_0,the_carrier(esk16_0))),inference(split_conjunct,[status(thm)],[133])).
% cnf(136,negated_conjecture,(net_str(esk16_0,esk15_0)),inference(split_conjunct,[status(thm)],[133])).
% cnf(137,negated_conjecture,(~empty_carrier(esk16_0)),inference(split_conjunct,[status(thm)],[133])).
% cnf(138,negated_conjecture,(one_sorted_str(esk15_0)),inference(split_conjunct,[status(thm)],[133])).
% cnf(139,negated_conjecture,(~empty_carrier(esk15_0)),inference(split_conjunct,[status(thm)],[133])).
% cnf(142,plain,(in(X1,a_3_0_waybel_9(X2,X3,X4))|empty_carrier(X3)|empty_carrier(X2)|~related(X3,X4,X1)|~element(X1,the_carrier(X3))|~element(X4,the_carrier(X3))|~net_str(X3,X2)|~one_sorted_str(X2)),inference(er,[status(thm)],[115,theory(equality)])).
% cnf(143,plain,(in(X1,the_carrier(X2))|empty_carrier(X3)|empty_carrier(X4)|netstr_restr_to_element(X3,X4,X5)!=X2|~related(X4,X5,X1)|~element(X1,the_carrier(X4))|~element(X5,the_carrier(X4))|~strict_net_str(X2,X3)|~net_str(X2,X3)|~net_str(X4,X3)|~one_sorted_str(X3)),inference(er,[status(thm)],[47,theory(equality)])).
% cnf(161,plain,(esk12_4(esk4_2(a_3_0_waybel_9(X1,X2,X3),X4),X1,X2,X3)=esk4_2(a_3_0_waybel_9(X1,X2,X3),X4)|empty_carrier(X1)|empty_carrier(X2)|a_3_0_waybel_9(X1,X2,X3)=X4|in(esk4_2(a_3_0_waybel_9(X1,X2,X3),X4),X4)|~element(X3,the_carrier(X2))|~net_str(X2,X1)|~one_sorted_str(X1)),inference(spm,[status(thm)],[113,62,theory(equality)])).
% cnf(167,plain,(element(X5,the_carrier(X2))|empty_carrier(X2)|empty_carrier(X1)|netstr_restr_to_element(X1,X2,X3)!=X4|~in(X5,the_carrier(X4))|~element(X3,the_carrier(X2))|~strict_net_str(X4,X1)|~net_str(X4,X1)|~net_str(X2,X1)|~one_sorted_str(X1)),inference(spm,[status(thm)],[46,45,theory(equality)])).
% cnf(168,plain,(related(X1,X2,X5)|empty_carrier(X1)|empty_carrier(X3)|netstr_restr_to_element(X3,X1,X2)!=X4|~in(X5,the_carrier(X4))|~element(X2,the_carrier(X1))|~strict_net_str(X4,X3)|~net_str(X4,X3)|~net_str(X1,X3)|~one_sorted_str(X3)),inference(spm,[status(thm)],[44,45,theory(equality)])).
% cnf(170,plain,(in(X1,the_carrier(netstr_restr_to_element(X2,X3,X4)))|empty_carrier(X2)|empty_carrier(X3)|~related(X3,X4,X1)|~element(X1,the_carrier(X3))|~element(X4,the_carrier(X3))|~strict_net_str(netstr_restr_to_element(X2,X3,X4),X2)|~net_str(netstr_restr_to_element(X2,X3,X4),X2)|~net_str(X3,X2)|~one_sorted_str(X2)),inference(er,[status(thm)],[143,theory(equality)])).
% cnf(191,plain,(element(esk4_2(X1,the_carrier(X2)),the_carrier(X3))|empty_carrier(X4)|empty_carrier(X3)|X1=the_carrier(X2)|in(esk4_2(X1,the_carrier(X2)),X1)|netstr_restr_to_element(X4,X3,X5)!=X2|~element(X5,the_carrier(X3))|~strict_net_str(X2,X4)|~net_str(X2,X4)|~net_str(X3,X4)|~one_sorted_str(X4)),inference(spm,[status(thm)],[167,62,theory(equality)])).
% cnf(250,plain,(related(X1,X2,esk4_2(X3,the_carrier(X4)))|empty_carrier(X5)|empty_carrier(X1)|X3=the_carrier(X4)|in(esk4_2(X3,the_carrier(X4)),X3)|netstr_restr_to_element(X5,X1,X2)!=X4|~element(X2,the_carrier(X1))|~strict_net_str(X4,X5)|~net_str(X4,X5)|~net_str(X1,X5)|~one_sorted_str(X5)),inference(spm,[status(thm)],[168,62,theory(equality)])).
% cnf(254,negated_conjecture,(esk12_4(esk4_2(a_3_0_waybel_9(X1,esk16_0,esk17_0),X2),X1,esk16_0,esk17_0)=esk4_2(a_3_0_waybel_9(X1,esk16_0,esk17_0),X2)|a_3_0_waybel_9(X1,esk16_0,esk17_0)=X2|in(esk4_2(a_3_0_waybel_9(X1,esk16_0,esk17_0),X2),X2)|empty_carrier(esk16_0)|empty_carrier(X1)|~net_str(esk16_0,X1)|~one_sorted_str(X1)),inference(spm,[status(thm)],[161,135,theory(equality)])).
% cnf(266,negated_conjecture,(esk12_4(esk4_2(a_3_0_waybel_9(X1,esk16_0,esk17_0),X2),X1,esk16_0,esk17_0)=esk4_2(a_3_0_waybel_9(X1,esk16_0,esk17_0),X2)|a_3_0_waybel_9(X1,esk16_0,esk17_0)=X2|in(esk4_2(a_3_0_waybel_9(X1,esk16_0,esk17_0),X2),X2)|empty_carrier(X1)|~net_str(esk16_0,X1)|~one_sorted_str(X1)),inference(sr,[status(thm)],[254,137,theory(equality)])).
% cnf(288,negated_conjecture,(esk12_4(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),esk15_0,esk16_0,esk17_0)=esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1)|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|empty_carrier(esk15_0)|~one_sorted_str(esk15_0)),inference(spm,[status(thm)],[266,136,theory(equality)])).
% cnf(289,negated_conjecture,(esk12_4(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),esk15_0,esk16_0,esk17_0)=esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1)|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|empty_carrier(esk15_0)|$false),inference(rw,[status(thm)],[288,138,theory(equality)])).
% cnf(290,negated_conjecture,(esk12_4(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),esk15_0,esk16_0,esk17_0)=esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1)|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|empty_carrier(esk15_0)),inference(cn,[status(thm)],[289,theory(equality)])).
% cnf(291,negated_conjecture,(esk12_4(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),esk15_0,esk16_0,esk17_0)=esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1)|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)),inference(sr,[status(thm)],[290,139,theory(equality)])).
% cnf(310,negated_conjecture,(element(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),the_carrier(esk16_0))|empty_carrier(esk15_0)|empty_carrier(esk16_0)|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))|~element(esk17_0,the_carrier(esk16_0))|~net_str(esk16_0,esk15_0)|~one_sorted_str(esk15_0)),inference(spm,[status(thm)],[114,291,theory(equality)])).
% cnf(311,negated_conjecture,(related(esk16_0,esk17_0,esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1))|empty_carrier(esk15_0)|empty_carrier(esk16_0)|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))|~element(esk17_0,the_carrier(esk16_0))|~net_str(esk16_0,esk15_0)|~one_sorted_str(esk15_0)),inference(spm,[status(thm)],[112,291,theory(equality)])).
% cnf(312,negated_conjecture,(element(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),the_carrier(esk16_0))|empty_carrier(esk15_0)|empty_carrier(esk16_0)|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))|$false|~net_str(esk16_0,esk15_0)|~one_sorted_str(esk15_0)),inference(rw,[status(thm)],[310,135,theory(equality)])).
% cnf(313,negated_conjecture,(element(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),the_carrier(esk16_0))|empty_carrier(esk15_0)|empty_carrier(esk16_0)|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))|$false|$false|~one_sorted_str(esk15_0)),inference(rw,[status(thm)],[312,136,theory(equality)])).
% cnf(314,negated_conjecture,(element(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),the_carrier(esk16_0))|empty_carrier(esk15_0)|empty_carrier(esk16_0)|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))|$false|$false|$false),inference(rw,[status(thm)],[313,138,theory(equality)])).
% cnf(315,negated_conjecture,(element(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),the_carrier(esk16_0))|empty_carrier(esk15_0)|empty_carrier(esk16_0)|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))),inference(cn,[status(thm)],[314,theory(equality)])).
% cnf(316,negated_conjecture,(element(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),the_carrier(esk16_0))|empty_carrier(esk16_0)|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))),inference(sr,[status(thm)],[315,139,theory(equality)])).
% cnf(317,negated_conjecture,(element(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),the_carrier(esk16_0))|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))),inference(sr,[status(thm)],[316,137,theory(equality)])).
% cnf(318,negated_conjecture,(related(esk16_0,esk17_0,esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1))|empty_carrier(esk15_0)|empty_carrier(esk16_0)|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))|$false|~net_str(esk16_0,esk15_0)|~one_sorted_str(esk15_0)),inference(rw,[status(thm)],[311,135,theory(equality)])).
% cnf(319,negated_conjecture,(related(esk16_0,esk17_0,esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1))|empty_carrier(esk15_0)|empty_carrier(esk16_0)|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))|$false|$false|~one_sorted_str(esk15_0)),inference(rw,[status(thm)],[318,136,theory(equality)])).
% cnf(320,negated_conjecture,(related(esk16_0,esk17_0,esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1))|empty_carrier(esk15_0)|empty_carrier(esk16_0)|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))|$false|$false|$false),inference(rw,[status(thm)],[319,138,theory(equality)])).
% cnf(321,negated_conjecture,(related(esk16_0,esk17_0,esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1))|empty_carrier(esk15_0)|empty_carrier(esk16_0)|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))),inference(cn,[status(thm)],[320,theory(equality)])).
% cnf(322,negated_conjecture,(related(esk16_0,esk17_0,esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1))|empty_carrier(esk16_0)|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))),inference(sr,[status(thm)],[321,139,theory(equality)])).
% cnf(323,negated_conjecture,(related(esk16_0,esk17_0,esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1))|a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))),inference(sr,[status(thm)],[322,137,theory(equality)])).
% cnf(369,negated_conjecture,(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)|element(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),the_carrier(esk16_0))),inference(csr,[status(thm)],[317,62])).
% cnf(377,negated_conjecture,(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|element(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),the_carrier(esk16_0))|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))),inference(spm,[status(thm)],[63,369,theory(equality)])).
% cnf(403,negated_conjecture,(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|related(esk16_0,esk17_0,esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1))|in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),X1)),inference(csr,[status(thm)],[323,62])).
% cnf(409,negated_conjecture,(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=X1|related(esk16_0,esk17_0,esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1))|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),X1),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))),inference(spm,[status(thm)],[63,403,theory(equality)])).
% cnf(417,plain,(in(X1,the_carrier(netstr_restr_to_element(X2,X3,X4)))|empty_carrier(X2)|empty_carrier(X3)|~related(X3,X4,X1)|~element(X1,the_carrier(X3))|~element(X4,the_carrier(X3))|~strict_net_str(netstr_restr_to_element(X2,X3,X4),X2)|~net_str(X3,X2)|~one_sorted_str(X2)),inference(csr,[status(thm)],[170,122])).
% cnf(418,plain,(in(X1,the_carrier(netstr_restr_to_element(X2,X3,X4)))|empty_carrier(X2)|empty_carrier(X3)|~related(X3,X4,X1)|~element(X1,the_carrier(X3))|~element(X4,the_carrier(X3))|~net_str(X3,X2)|~one_sorted_str(X2)),inference(csr,[status(thm)],[417,123])).
% cnf(419,plain,(X1=the_carrier(netstr_restr_to_element(X2,X3,X4))|empty_carrier(X3)|empty_carrier(X2)|~in(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,X3,X4))),X1)|~related(X3,X4,esk4_2(X1,the_carrier(netstr_restr_to_element(X2,X3,X4))))|~element(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,X3,X4))),the_carrier(X3))|~element(X4,the_carrier(X3))|~net_str(X3,X2)|~one_sorted_str(X2)),inference(spm,[status(thm)],[63,418,theory(equality)])).
% cnf(435,plain,(X1=the_carrier(netstr_restr_to_element(X2,X3,X4))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,X3,X4))),X1)|element(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,X3,X4))),the_carrier(X3))|empty_carrier(X3)|empty_carrier(X2)|~element(X4,the_carrier(X3))|~strict_net_str(netstr_restr_to_element(X2,X3,X4),X2)|~net_str(netstr_restr_to_element(X2,X3,X4),X2)|~net_str(X3,X2)|~one_sorted_str(X2)),inference(er,[status(thm)],[191,theory(equality)])).
% cnf(473,plain,(X1=the_carrier(netstr_restr_to_element(X2,X3,X4))|related(X3,X4,esk4_2(X1,the_carrier(netstr_restr_to_element(X2,X3,X4))))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,X3,X4))),X1)|empty_carrier(X3)|empty_carrier(X2)|~element(X4,the_carrier(X3))|~strict_net_str(netstr_restr_to_element(X2,X3,X4),X2)|~net_str(netstr_restr_to_element(X2,X3,X4),X2)|~net_str(X3,X2)|~one_sorted_str(X2)),inference(er,[status(thm)],[250,theory(equality)])).
% cnf(3933,plain,(X1=the_carrier(netstr_restr_to_element(X2,X3,X4))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,X3,X4))),X1)|element(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,X3,X4))),the_carrier(X3))|empty_carrier(X3)|empty_carrier(X2)|~element(X4,the_carrier(X3))|~strict_net_str(netstr_restr_to_element(X2,X3,X4),X2)|~net_str(X3,X2)|~one_sorted_str(X2)),inference(csr,[status(thm)],[435,122])).
% cnf(3934,plain,(X1=the_carrier(netstr_restr_to_element(X2,X3,X4))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,X3,X4))),X1)|element(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,X3,X4))),the_carrier(X3))|empty_carrier(X3)|empty_carrier(X2)|~element(X4,the_carrier(X3))|~net_str(X3,X2)|~one_sorted_str(X2)),inference(csr,[status(thm)],[3933,123])).
% cnf(3935,negated_conjecture,(X1=the_carrier(netstr_restr_to_element(X2,esk16_0,esk17_0))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,esk16_0,esk17_0))),X1)|element(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,esk16_0,esk17_0))),the_carrier(esk16_0))|empty_carrier(X2)|empty_carrier(esk16_0)|~net_str(esk16_0,X2)|~one_sorted_str(X2)),inference(spm,[status(thm)],[3934,135,theory(equality)])).
% cnf(4070,negated_conjecture,(X1=the_carrier(netstr_restr_to_element(X2,esk16_0,esk17_0))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,esk16_0,esk17_0))),X1)|element(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,esk16_0,esk17_0))),the_carrier(esk16_0))|empty_carrier(X2)|~net_str(esk16_0,X2)|~one_sorted_str(X2)),inference(sr,[status(thm)],[3935,137,theory(equality)])).
% cnf(4347,negated_conjecture,(X1=the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),X1)|element(esk4_2(X1,the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),the_carrier(esk16_0))|empty_carrier(esk15_0)|~one_sorted_str(esk15_0)),inference(spm,[status(thm)],[4070,136,theory(equality)])).
% cnf(4348,negated_conjecture,(X1=the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),X1)|element(esk4_2(X1,the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),the_carrier(esk16_0))|empty_carrier(esk15_0)|$false),inference(rw,[status(thm)],[4347,138,theory(equality)])).
% cnf(4349,negated_conjecture,(X1=the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),X1)|element(esk4_2(X1,the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),the_carrier(esk16_0))|empty_carrier(esk15_0)),inference(cn,[status(thm)],[4348,theory(equality)])).
% cnf(4350,negated_conjecture,(X1=the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),X1)|element(esk4_2(X1,the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),the_carrier(esk16_0))),inference(sr,[status(thm)],[4349,139,theory(equality)])).
% cnf(4374,negated_conjecture,(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))|element(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),the_carrier(esk16_0))),inference(spm,[status(thm)],[377,4350,theory(equality)])).
% cnf(4395,negated_conjecture,(element(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),the_carrier(esk16_0))),inference(sr,[status(thm)],[4374,134,theory(equality)])).
% cnf(16121,plain,(X1=the_carrier(netstr_restr_to_element(X2,X3,X4))|related(X3,X4,esk4_2(X1,the_carrier(netstr_restr_to_element(X2,X3,X4))))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,X3,X4))),X1)|empty_carrier(X3)|empty_carrier(X2)|~element(X4,the_carrier(X3))|~strict_net_str(netstr_restr_to_element(X2,X3,X4),X2)|~net_str(X3,X2)|~one_sorted_str(X2)),inference(csr,[status(thm)],[473,122])).
% cnf(16122,plain,(X1=the_carrier(netstr_restr_to_element(X2,X3,X4))|related(X3,X4,esk4_2(X1,the_carrier(netstr_restr_to_element(X2,X3,X4))))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,X3,X4))),X1)|empty_carrier(X3)|empty_carrier(X2)|~element(X4,the_carrier(X3))|~net_str(X3,X2)|~one_sorted_str(X2)),inference(csr,[status(thm)],[16121,123])).
% cnf(16123,negated_conjecture,(X1=the_carrier(netstr_restr_to_element(X2,esk16_0,esk17_0))|related(esk16_0,esk17_0,esk4_2(X1,the_carrier(netstr_restr_to_element(X2,esk16_0,esk17_0))))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,esk16_0,esk17_0))),X1)|empty_carrier(X2)|empty_carrier(esk16_0)|~net_str(esk16_0,X2)|~one_sorted_str(X2)),inference(spm,[status(thm)],[16122,135,theory(equality)])).
% cnf(16397,negated_conjecture,(X1=the_carrier(netstr_restr_to_element(X2,esk16_0,esk17_0))|related(esk16_0,esk17_0,esk4_2(X1,the_carrier(netstr_restr_to_element(X2,esk16_0,esk17_0))))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(X2,esk16_0,esk17_0))),X1)|empty_carrier(X2)|~net_str(esk16_0,X2)|~one_sorted_str(X2)),inference(sr,[status(thm)],[16123,137,theory(equality)])).
% cnf(20180,negated_conjecture,(X1=the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))|related(esk16_0,esk17_0,esk4_2(X1,the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),X1)|empty_carrier(esk15_0)|~one_sorted_str(esk15_0)),inference(spm,[status(thm)],[16397,136,theory(equality)])).
% cnf(20181,negated_conjecture,(X1=the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))|related(esk16_0,esk17_0,esk4_2(X1,the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),X1)|empty_carrier(esk15_0)|$false),inference(rw,[status(thm)],[20180,138,theory(equality)])).
% cnf(20182,negated_conjecture,(X1=the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))|related(esk16_0,esk17_0,esk4_2(X1,the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),X1)|empty_carrier(esk15_0)),inference(cn,[status(thm)],[20181,theory(equality)])).
% cnf(20183,negated_conjecture,(X1=the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))|related(esk16_0,esk17_0,esk4_2(X1,the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))))|in(esk4_2(X1,the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),X1)),inference(sr,[status(thm)],[20182,139,theory(equality)])).
% cnf(20209,negated_conjecture,(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))|related(esk16_0,esk17_0,esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))))),inference(spm,[status(thm)],[409,20183,theory(equality)])).
% cnf(20227,negated_conjecture,(related(esk16_0,esk17_0,esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))))),inference(sr,[status(thm)],[20209,134,theory(equality)])).
% cnf(20238,negated_conjecture,(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))|empty_carrier(esk15_0)|empty_carrier(esk16_0)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))|~element(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),the_carrier(esk16_0))|~element(esk17_0,the_carrier(esk16_0))|~net_str(esk16_0,esk15_0)|~one_sorted_str(esk15_0)),inference(spm,[status(thm)],[419,20227,theory(equality)])).
% cnf(20245,negated_conjecture,(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))|empty_carrier(esk15_0)|empty_carrier(esk16_0)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))|$false|~element(esk17_0,the_carrier(esk16_0))|~net_str(esk16_0,esk15_0)|~one_sorted_str(esk15_0)),inference(rw,[status(thm)],[20238,4395,theory(equality)])).
% cnf(20246,negated_conjecture,(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))|empty_carrier(esk15_0)|empty_carrier(esk16_0)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))|$false|$false|~net_str(esk16_0,esk15_0)|~one_sorted_str(esk15_0)),inference(rw,[status(thm)],[20245,135,theory(equality)])).
% cnf(20247,negated_conjecture,(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))|empty_carrier(esk15_0)|empty_carrier(esk16_0)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))|$false|$false|$false|~one_sorted_str(esk15_0)),inference(rw,[status(thm)],[20246,136,theory(equality)])).
% cnf(20248,negated_conjecture,(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))|empty_carrier(esk15_0)|empty_carrier(esk16_0)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[20247,138,theory(equality)])).
% cnf(20249,negated_conjecture,(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0)=the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))|empty_carrier(esk15_0)|empty_carrier(esk16_0)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))),inference(cn,[status(thm)],[20248,theory(equality)])).
% cnf(20250,negated_conjecture,(empty_carrier(esk15_0)|empty_carrier(esk16_0)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))),inference(sr,[status(thm)],[20249,134,theory(equality)])).
% cnf(20251,negated_conjecture,(empty_carrier(esk16_0)|~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))),inference(sr,[status(thm)],[20250,139,theory(equality)])).
% cnf(20252,negated_conjecture,(~in(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),a_3_0_waybel_9(esk15_0,esk16_0,esk17_0))),inference(sr,[status(thm)],[20251,137,theory(equality)])).
% cnf(20281,negated_conjecture,(empty_carrier(esk16_0)|empty_carrier(esk15_0)|~related(esk16_0,esk17_0,esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))))|~element(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),the_carrier(esk16_0))|~element(esk17_0,the_carrier(esk16_0))|~net_str(esk16_0,esk15_0)|~one_sorted_str(esk15_0)),inference(spm,[status(thm)],[20252,142,theory(equality)])).
% cnf(20312,negated_conjecture,(empty_carrier(esk16_0)|empty_carrier(esk15_0)|$false|~element(esk4_2(a_3_0_waybel_9(esk15_0,esk16_0,esk17_0),the_carrier(netstr_restr_to_element(esk15_0,esk16_0,esk17_0))),the_carrier(esk16_0))|~element(esk17_0,the_carrier(esk16_0))|~net_str(esk16_0,esk15_0)|~one_sorted_str(esk15_0)),inference(rw,[status(thm)],[20281,20227,theory(equality)])).
% cnf(20313,negated_conjecture,(empty_carrier(esk16_0)|empty_carrier(esk15_0)|$false|$false|~element(esk17_0,the_carrier(esk16_0))|~net_str(esk16_0,esk15_0)|~one_sorted_str(esk15_0)),inference(rw,[status(thm)],[20312,4395,theory(equality)])).
% cnf(20314,negated_conjecture,(empty_carrier(esk16_0)|empty_carrier(esk15_0)|$false|$false|$false|~net_str(esk16_0,esk15_0)|~one_sorted_str(esk15_0)),inference(rw,[status(thm)],[20313,135,theory(equality)])).
% cnf(20315,negated_conjecture,(empty_carrier(esk16_0)|empty_carrier(esk15_0)|$false|$false|$false|$false|~one_sorted_str(esk15_0)),inference(rw,[status(thm)],[20314,136,theory(equality)])).
% cnf(20316,negated_conjecture,(empty_carrier(esk16_0)|empty_carrier(esk15_0)|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[20315,138,theory(equality)])).
% cnf(20317,negated_conjecture,(empty_carrier(esk16_0)|empty_carrier(esk15_0)),inference(cn,[status(thm)],[20316,theory(equality)])).
% cnf(20318,negated_conjecture,(empty_carrier(esk15_0)),inference(sr,[status(thm)],[20317,137,theory(equality)])).
% cnf(20319,negated_conjecture,($false),inference(sr,[status(thm)],[20318,139,theory(equality)])).
% cnf(20320,negated_conjecture,($false),20319,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 1119
% # ...of these trivial                : 5
% # ...subsumed                        : 384
% # ...remaining for further processing: 730
% # Other redundant clauses eliminated : 4
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 22
% # Backward-rewritten                 : 2
% # Generated clauses                  : 10870
% # ...of the previous two non-trivial : 10807
% # Contextual simplify-reflections    : 385
% # Paramodulations                    : 10787
% # Factorizations                     : 46
% # Equation resolutions               : 37
% # Current number of processed clauses: 655
% #    Positive orientable unit clauses: 18
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 4
% #    Non-unit-clauses                : 633
% # Current number of unprocessed clauses: 9502
% # ...number of literals in the above : 94906
% # Clause-clause subsumption calls (NU) : 49972
% # Rec. Clause-clause subsumption calls : 3910
% # Unit Clause-clause subsumption calls : 224
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 41
% # Indexed BW rewrite successes       : 1
% # Backwards rewriting index:   258 leaves,   4.90+/-8.291 terms/leaf
% # Paramod-from index:           90 leaves,   3.46+/-7.273 terms/leaf
% # Paramod-into index:          202 leaves,   3.53+/-6.089 terms/leaf
% # -------------------------------------------------
% # User time              : 1.179 s
% # System time            : 0.037 s
% # Total time             : 1.216 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.84 CPU 1.93 WC
% FINAL PrfWatch: 1.84 CPU 1.93 WC
% SZS output end Solution for /tmp/SystemOnTPTP10980/SEU384+1.tptp
% 
%------------------------------------------------------------------------------