TSTP Solution File: SEU385+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU385+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 : art06.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 04:28:48 EST 2010
% Result : Theorem 24.85s
% Output : Solution 24.85s
% 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/SystemOnTPTP31381/SEU385+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP31381/SEU385+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP31381/SEU385+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 31477
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.93 CPU 2.01 WC
% PrfWatch: 3.92 CPU 4.02 WC
% PrfWatch: 5.91 CPU 6.02 WC
% PrfWatch: 7.81 CPU 8.08 WC
% PrfWatch: 9.41 CPU 10.16 WC
% PrfWatch: 11.27 CPU 12.16 WC
% PrfWatch: 13.27 CPU 14.17 WC
% PrfWatch: 15.26 CPU 16.17 WC
% PrfWatch: 17.25 CPU 18.18 WC
% # Preprocessing time : 0.024 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 19.24 CPU 20.18 WC
% PrfWatch: 21.23 CPU 22.19 WC
% PrfWatch: 23.22 CPU 24.19 WC
% # SZS output start CNFRefutation.
% fof(6, axiom,![X1]:![X2]:![X3]:((((((~(empty_carrier(X1))&one_sorted_str(X1))&~(empty_carrier(X2)))&directed_relstr(X2))&net_str(X2,X1))&element(X3,the_carrier(X2)))=>(~(empty_carrier(netstr_restr_to_element(X1,X2,X3)))&strict_net_str(netstr_restr_to_element(X1,X2,X3),X1))),file('/tmp/SRASS.s.p', fc22_waybel_9)).
% fof(7, 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(8, axiom,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>~(empty(the_carrier(X1)))),file('/tmp/SRASS.s.p', fc1_struct_0)).
% fof(9, axiom,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>apply_netmap(X1,X2,X3)=apply_on_structs(X2,X1,the_mapping(X1,X2),X3)))),file('/tmp/SRASS.s.p', d8_waybel_0)).
% fof(12, axiom,![X1]:(one_sorted_str(X1)=>![X2]:(net_str(X2,X1)=>rel_str(X2))),file('/tmp/SRASS.s.p', dt_l1_waybel_0)).
% fof(21, axiom,![X1]:![X2]:![X3]:![X4]:((((((((~(empty_carrier(X1))&one_sorted_str(X1))&~(empty_carrier(X2)))&one_sorted_str(X2))&function(X3))&quasi_total(X3,the_carrier(X1),the_carrier(X2)))&relation_of2(X3,the_carrier(X1),the_carrier(X2)))&element(X4,the_carrier(X1)))=>apply_on_structs(X1,X2,X3,X4)=apply(X3,X4)),file('/tmp/SRASS.s.p', redefinition_k1_waybel_0)).
% fof(23, 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(24, axiom,![X1]:![X2]:(in(X1,X2)=>element(X1,X2)),file('/tmp/SRASS.s.p', t1_subset)).
% fof(28, axiom,![X1]:(rel_str(X1)=>one_sorted_str(X1)),file('/tmp/SRASS.s.p', dt_l1_orders_2)).
% fof(29, axiom,![X1]:![X2]:((one_sorted_str(X1)&net_str(X2,X1))=>((function(the_mapping(X1,X2))&quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)))&relation_of2_as_subset(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)))),file('/tmp/SRASS.s.p', dt_u1_waybel_0)).
% fof(50, axiom,![X1]:![X2]:(element(X1,X2)=>(empty(X2)|in(X1,X2))),file('/tmp/SRASS.s.p', t2_subset)).
% fof(55, axiom,![X1]:![X2]:![X3]:![X4]:((function(X3)&relation_of2(X3,X1,X2))=>partfun_dom_restriction(X1,X2,X3,X4)=relation_dom_restriction(X3,X4)),file('/tmp/SRASS.s.p', redefinition_k2_partfun1)).
% fof(58, axiom,![X1]:![X2]:![X3]:(element(X3,powerset(cartesian_product2(X1,X2)))=>relation(X3)),file('/tmp/SRASS.s.p', cc1_relset_1)).
% fof(60, axiom,![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X1,X2)<=>relation_of2(X3,X1,X2)),file('/tmp/SRASS.s.p', redefinition_m2_relset_1)).
% fof(61, axiom,![X1]:![X2]:![X3]:((relation(X3)&function(X3))=>(in(X2,X1)=>apply(relation_dom_restriction(X3,X1),X2)=apply(X3,X2))),file('/tmp/SRASS.s.p', t72_funct_1)).
% fof(64, axiom,![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X1,X2)=>element(X3,powerset(cartesian_product2(X1,X2)))),file('/tmp/SRASS.s.p', dt_m2_relset_1)).
% fof(79, conjecture,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:(((~(empty_carrier(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>![X4]:(element(X4,the_carrier(X2))=>![X5]:(element(X5,the_carrier(netstr_restr_to_element(X1,X2,X3)))=>(X4=X5=>apply_netmap(X1,X2,X4)=apply_netmap(X1,netstr_restr_to_element(X1,X2,X3),X5))))))),file('/tmp/SRASS.s.p', t16_waybel_9)).
% fof(80, negated_conjecture,~(![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:(((~(empty_carrier(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>![X4]:(element(X4,the_carrier(X2))=>![X5]:(element(X5,the_carrier(netstr_restr_to_element(X1,X2,X3)))=>(X4=X5=>apply_netmap(X1,X2,X4)=apply_netmap(X1,netstr_restr_to_element(X1,X2,X3),X5)))))))),inference(assume_negation,[status(cth)],[79])).
% fof(83, plain,![X1]:![X2]:![X3]:((((((~(empty_carrier(X1))&one_sorted_str(X1))&~(empty_carrier(X2)))&directed_relstr(X2))&net_str(X2,X1))&element(X3,the_carrier(X2)))=>(~(empty_carrier(netstr_restr_to_element(X1,X2,X3)))&strict_net_str(netstr_restr_to_element(X1,X2,X3),X1))),inference(fof_simplification,[status(thm)],[6,theory(equality)])).
% fof(84, 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)],[7,theory(equality)])).
% fof(85, plain,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>~(empty(the_carrier(X1)))),inference(fof_simplification,[status(thm)],[8,theory(equality)])).
% fof(86, plain,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>apply_netmap(X1,X2,X3)=apply_on_structs(X2,X1,the_mapping(X1,X2),X3)))),inference(fof_simplification,[status(thm)],[9,theory(equality)])).
% fof(90, plain,![X1]:![X2]:![X3]:![X4]:((((((((~(empty_carrier(X1))&one_sorted_str(X1))&~(empty_carrier(X2)))&one_sorted_str(X2))&function(X3))&quasi_total(X3,the_carrier(X1),the_carrier(X2)))&relation_of2(X3,the_carrier(X1),the_carrier(X2)))&element(X4,the_carrier(X1)))=>apply_on_structs(X1,X2,X3,X4)=apply(X3,X4)),inference(fof_simplification,[status(thm)],[21,theory(equality)])).
% fof(91, 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)],[23,theory(equality)])).
% fof(103, negated_conjecture,~(![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:(((~(empty_carrier(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(element(X3,the_carrier(X2))=>![X4]:(element(X4,the_carrier(X2))=>![X5]:(element(X5,the_carrier(netstr_restr_to_element(X1,X2,X3)))=>(X4=X5=>apply_netmap(X1,X2,X4)=apply_netmap(X1,netstr_restr_to_element(X1,X2,X3),X5)))))))),inference(fof_simplification,[status(thm)],[80,theory(equality)])).
% fof(121, plain,![X1]:![X2]:![X3]:((((((empty_carrier(X1)|~(one_sorted_str(X1)))|empty_carrier(X2))|~(directed_relstr(X2)))|~(net_str(X2,X1)))|~(element(X3,the_carrier(X2))))|(~(empty_carrier(netstr_restr_to_element(X1,X2,X3)))&strict_net_str(netstr_restr_to_element(X1,X2,X3),X1))),inference(fof_nnf,[status(thm)],[83])).
% fof(122, plain,![X4]:![X5]:![X6]:((((((empty_carrier(X4)|~(one_sorted_str(X4)))|empty_carrier(X5))|~(directed_relstr(X5)))|~(net_str(X5,X4)))|~(element(X6,the_carrier(X5))))|(~(empty_carrier(netstr_restr_to_element(X4,X5,X6)))&strict_net_str(netstr_restr_to_element(X4,X5,X6),X4))),inference(variable_rename,[status(thm)],[121])).
% fof(123, plain,![X4]:![X5]:![X6]:((~(empty_carrier(netstr_restr_to_element(X4,X5,X6)))|(((((empty_carrier(X4)|~(one_sorted_str(X4)))|empty_carrier(X5))|~(directed_relstr(X5)))|~(net_str(X5,X4)))|~(element(X6,the_carrier(X5)))))&(strict_net_str(netstr_restr_to_element(X4,X5,X6),X4)|(((((empty_carrier(X4)|~(one_sorted_str(X4)))|empty_carrier(X5))|~(directed_relstr(X5)))|~(net_str(X5,X4)))|~(element(X6,the_carrier(X5)))))),inference(distribute,[status(thm)],[122])).
% cnf(125,plain,(empty_carrier(X2)|empty_carrier(X3)|~element(X1,the_carrier(X2))|~net_str(X2,X3)|~directed_relstr(X2)|~one_sorted_str(X3)|~empty_carrier(netstr_restr_to_element(X3,X2,X1))),inference(split_conjunct,[status(thm)],[123])).
% fof(126, 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)],[84])).
% fof(127, 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)],[126])).
% fof(128, 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)],[127])).
% cnf(129,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)],[128])).
% cnf(130,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)],[128])).
% fof(131, plain,![X1]:((empty_carrier(X1)|~(one_sorted_str(X1)))|~(empty(the_carrier(X1)))),inference(fof_nnf,[status(thm)],[85])).
% fof(132, plain,![X2]:((empty_carrier(X2)|~(one_sorted_str(X2)))|~(empty(the_carrier(X2)))),inference(variable_rename,[status(thm)],[131])).
% cnf(133,plain,(empty_carrier(X1)|~empty(the_carrier(X1))|~one_sorted_str(X1)),inference(split_conjunct,[status(thm)],[132])).
% fof(134, plain,![X1]:((empty_carrier(X1)|~(one_sorted_str(X1)))|![X2]:((empty_carrier(X2)|~(net_str(X2,X1)))|![X3]:(~(element(X3,the_carrier(X2)))|apply_netmap(X1,X2,X3)=apply_on_structs(X2,X1,the_mapping(X1,X2),X3)))),inference(fof_nnf,[status(thm)],[86])).
% fof(135, plain,![X4]:((empty_carrier(X4)|~(one_sorted_str(X4)))|![X5]:((empty_carrier(X5)|~(net_str(X5,X4)))|![X6]:(~(element(X6,the_carrier(X5)))|apply_netmap(X4,X5,X6)=apply_on_structs(X5,X4,the_mapping(X4,X5),X6)))),inference(variable_rename,[status(thm)],[134])).
% fof(136, plain,![X4]:![X5]:![X6]:(((~(element(X6,the_carrier(X5)))|apply_netmap(X4,X5,X6)=apply_on_structs(X5,X4,the_mapping(X4,X5),X6))|(empty_carrier(X5)|~(net_str(X5,X4))))|(empty_carrier(X4)|~(one_sorted_str(X4)))),inference(shift_quantors,[status(thm)],[135])).
% cnf(137,plain,(empty_carrier(X1)|empty_carrier(X2)|apply_netmap(X1,X2,X3)=apply_on_structs(X2,X1,the_mapping(X1,X2),X3)|~one_sorted_str(X1)|~net_str(X2,X1)|~element(X3,the_carrier(X2))),inference(split_conjunct,[status(thm)],[136])).
% fof(150, plain,![X1]:(~(one_sorted_str(X1))|![X2]:(~(net_str(X2,X1))|rel_str(X2))),inference(fof_nnf,[status(thm)],[12])).
% fof(151, plain,![X3]:(~(one_sorted_str(X3))|![X4]:(~(net_str(X4,X3))|rel_str(X4))),inference(variable_rename,[status(thm)],[150])).
% fof(152, plain,![X3]:![X4]:((~(net_str(X4,X3))|rel_str(X4))|~(one_sorted_str(X3))),inference(shift_quantors,[status(thm)],[151])).
% cnf(153,plain,(rel_str(X2)|~one_sorted_str(X1)|~net_str(X2,X1)),inference(split_conjunct,[status(thm)],[152])).
% fof(180, plain,![X1]:![X2]:![X3]:![X4]:((((((((empty_carrier(X1)|~(one_sorted_str(X1)))|empty_carrier(X2))|~(one_sorted_str(X2)))|~(function(X3)))|~(quasi_total(X3,the_carrier(X1),the_carrier(X2))))|~(relation_of2(X3,the_carrier(X1),the_carrier(X2))))|~(element(X4,the_carrier(X1))))|apply_on_structs(X1,X2,X3,X4)=apply(X3,X4)),inference(fof_nnf,[status(thm)],[90])).
% fof(181, plain,![X5]:![X6]:![X7]:![X8]:((((((((empty_carrier(X5)|~(one_sorted_str(X5)))|empty_carrier(X6))|~(one_sorted_str(X6)))|~(function(X7)))|~(quasi_total(X7,the_carrier(X5),the_carrier(X6))))|~(relation_of2(X7,the_carrier(X5),the_carrier(X6))))|~(element(X8,the_carrier(X5))))|apply_on_structs(X5,X6,X7,X8)=apply(X7,X8)),inference(variable_rename,[status(thm)],[180])).
% cnf(182,plain,(apply_on_structs(X1,X2,X3,X4)=apply(X3,X4)|empty_carrier(X2)|empty_carrier(X1)|~element(X4,the_carrier(X1))|~relation_of2(X3,the_carrier(X1),the_carrier(X2))|~quasi_total(X3,the_carrier(X1),the_carrier(X2))|~function(X3)|~one_sorted_str(X2)|~one_sorted_str(X1)),inference(split_conjunct,[status(thm)],[181])).
% fof(186, 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)],[91])).
% fof(187, 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)],[186])).
% fof(188, 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(esk13_5(X7,X8,X9,X10,X11),the_carrier(X8))&esk13_5(X7,X8,X9,X10,X11)=X11)&related(X8,X9,esk13_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(esk14_4(X7,X8,X9,X10),the_carrier(X10)))|![X15]:((~(element(X15,the_carrier(X8)))|~(X15=esk14_4(X7,X8,X9,X10)))|~(related(X8,X9,X15))))&(in(esk14_4(X7,X8,X9,X10),the_carrier(X10))|((element(esk15_4(X7,X8,X9,X10),the_carrier(X8))&esk15_4(X7,X8,X9,X10)=esk14_4(X7,X8,X9,X10))&related(X8,X9,esk15_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)],[187])).
% fof(189, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X13]:![X15]:((((((((((((~(element(X15,the_carrier(X8)))|~(X15=esk14_4(X7,X8,X9,X10)))|~(related(X8,X9,X15)))|~(in(esk14_4(X7,X8,X9,X10),the_carrier(X10))))&(in(esk14_4(X7,X8,X9,X10),the_carrier(X10))|((element(esk15_4(X7,X8,X9,X10),the_carrier(X8))&esk15_4(X7,X8,X9,X10)=esk14_4(X7,X8,X9,X10))&related(X8,X9,esk15_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(esk13_5(X7,X8,X9,X10,X11),the_carrier(X8))&esk13_5(X7,X8,X9,X10,X11)=X11)&related(X8,X9,esk13_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)],[188])).
% fof(190, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X13]:![X15]:((((((((((((~(element(X15,the_carrier(X8)))|~(X15=esk14_4(X7,X8,X9,X10)))|~(related(X8,X9,X15)))|~(in(esk14_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(esk15_4(X7,X8,X9,X10),the_carrier(X8))|in(esk14_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))))&((((((((esk15_4(X7,X8,X9,X10)=esk14_4(X7,X8,X9,X10)|in(esk14_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,esk15_4(X7,X8,X9,X10))|in(esk14_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(esk13_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))))&((((((esk13_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,esk13_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)],[189])).
% cnf(191,plain,(empty_carrier(X1)|empty_carrier(X2)|the_mapping(X1,X4)=partfun_dom_restriction(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),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)),inference(split_conjunct,[status(thm)],[190])).
% fof(201, plain,![X1]:![X2]:(~(in(X1,X2))|element(X1,X2)),inference(fof_nnf,[status(thm)],[24])).
% fof(202, plain,![X3]:![X4]:(~(in(X3,X4))|element(X3,X4)),inference(variable_rename,[status(thm)],[201])).
% cnf(203,plain,(element(X1,X2)|~in(X1,X2)),inference(split_conjunct,[status(thm)],[202])).
% fof(217, plain,![X1]:(~(rel_str(X1))|one_sorted_str(X1)),inference(fof_nnf,[status(thm)],[28])).
% fof(218, plain,![X2]:(~(rel_str(X2))|one_sorted_str(X2)),inference(variable_rename,[status(thm)],[217])).
% cnf(219,plain,(one_sorted_str(X1)|~rel_str(X1)),inference(split_conjunct,[status(thm)],[218])).
% fof(220, plain,![X1]:![X2]:((~(one_sorted_str(X1))|~(net_str(X2,X1)))|((function(the_mapping(X1,X2))&quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)))&relation_of2_as_subset(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)))),inference(fof_nnf,[status(thm)],[29])).
% fof(221, plain,![X3]:![X4]:((~(one_sorted_str(X3))|~(net_str(X4,X3)))|((function(the_mapping(X3,X4))&quasi_total(the_mapping(X3,X4),the_carrier(X4),the_carrier(X3)))&relation_of2_as_subset(the_mapping(X3,X4),the_carrier(X4),the_carrier(X3)))),inference(variable_rename,[status(thm)],[220])).
% fof(222, plain,![X3]:![X4]:(((function(the_mapping(X3,X4))|(~(one_sorted_str(X3))|~(net_str(X4,X3))))&(quasi_total(the_mapping(X3,X4),the_carrier(X4),the_carrier(X3))|(~(one_sorted_str(X3))|~(net_str(X4,X3)))))&(relation_of2_as_subset(the_mapping(X3,X4),the_carrier(X4),the_carrier(X3))|(~(one_sorted_str(X3))|~(net_str(X4,X3))))),inference(distribute,[status(thm)],[221])).
% cnf(223,plain,(relation_of2_as_subset(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))|~net_str(X1,X2)|~one_sorted_str(X2)),inference(split_conjunct,[status(thm)],[222])).
% cnf(224,plain,(quasi_total(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))|~net_str(X1,X2)|~one_sorted_str(X2)),inference(split_conjunct,[status(thm)],[222])).
% cnf(225,plain,(function(the_mapping(X2,X1))|~net_str(X1,X2)|~one_sorted_str(X2)),inference(split_conjunct,[status(thm)],[222])).
% fof(318, plain,![X1]:![X2]:(~(element(X1,X2))|(empty(X2)|in(X1,X2))),inference(fof_nnf,[status(thm)],[50])).
% fof(319, plain,![X3]:![X4]:(~(element(X3,X4))|(empty(X4)|in(X3,X4))),inference(variable_rename,[status(thm)],[318])).
% cnf(320,plain,(in(X1,X2)|empty(X2)|~element(X1,X2)),inference(split_conjunct,[status(thm)],[319])).
% fof(343, plain,![X1]:![X2]:![X3]:![X4]:((~(function(X3))|~(relation_of2(X3,X1,X2)))|partfun_dom_restriction(X1,X2,X3,X4)=relation_dom_restriction(X3,X4)),inference(fof_nnf,[status(thm)],[55])).
% fof(344, plain,![X5]:![X6]:![X7]:![X8]:((~(function(X7))|~(relation_of2(X7,X5,X6)))|partfun_dom_restriction(X5,X6,X7,X8)=relation_dom_restriction(X7,X8)),inference(variable_rename,[status(thm)],[343])).
% cnf(345,plain,(partfun_dom_restriction(X1,X2,X3,X4)=relation_dom_restriction(X3,X4)|~relation_of2(X3,X1,X2)|~function(X3)),inference(split_conjunct,[status(thm)],[344])).
% fof(352, plain,![X1]:![X2]:![X3]:(~(element(X3,powerset(cartesian_product2(X1,X2))))|relation(X3)),inference(fof_nnf,[status(thm)],[58])).
% fof(353, plain,![X4]:![X5]:![X6]:(~(element(X6,powerset(cartesian_product2(X4,X5))))|relation(X6)),inference(variable_rename,[status(thm)],[352])).
% cnf(354,plain,(relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3)))),inference(split_conjunct,[status(thm)],[353])).
% fof(358, plain,![X1]:![X2]:![X3]:((~(relation_of2_as_subset(X3,X1,X2))|relation_of2(X3,X1,X2))&(~(relation_of2(X3,X1,X2))|relation_of2_as_subset(X3,X1,X2))),inference(fof_nnf,[status(thm)],[60])).
% fof(359, plain,![X4]:![X5]:![X6]:((~(relation_of2_as_subset(X6,X4,X5))|relation_of2(X6,X4,X5))&(~(relation_of2(X6,X4,X5))|relation_of2_as_subset(X6,X4,X5))),inference(variable_rename,[status(thm)],[358])).
% cnf(360,plain,(relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3)),inference(split_conjunct,[status(thm)],[359])).
% cnf(361,plain,(relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[359])).
% fof(362, plain,![X1]:![X2]:![X3]:((~(relation(X3))|~(function(X3)))|(~(in(X2,X1))|apply(relation_dom_restriction(X3,X1),X2)=apply(X3,X2))),inference(fof_nnf,[status(thm)],[61])).
% fof(363, plain,![X4]:![X5]:![X6]:((~(relation(X6))|~(function(X6)))|(~(in(X5,X4))|apply(relation_dom_restriction(X6,X4),X5)=apply(X6,X5))),inference(variable_rename,[status(thm)],[362])).
% cnf(364,plain,(apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~in(X3,X2)|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[363])).
% fof(371, plain,![X1]:![X2]:![X3]:(~(relation_of2_as_subset(X3,X1,X2))|element(X3,powerset(cartesian_product2(X1,X2)))),inference(fof_nnf,[status(thm)],[64])).
% fof(372, plain,![X4]:![X5]:![X6]:(~(relation_of2_as_subset(X6,X4,X5))|element(X6,powerset(cartesian_product2(X4,X5)))),inference(variable_rename,[status(thm)],[371])).
% cnf(373,plain,(element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[372])).
% fof(403, negated_conjecture,?[X1]:((~(empty_carrier(X1))&one_sorted_str(X1))&?[X2]:(((~(empty_carrier(X2))&directed_relstr(X2))&net_str(X2,X1))&?[X3]:(element(X3,the_carrier(X2))&?[X4]:(element(X4,the_carrier(X2))&?[X5]:(element(X5,the_carrier(netstr_restr_to_element(X1,X2,X3)))&(X4=X5&~(apply_netmap(X1,X2,X4)=apply_netmap(X1,netstr_restr_to_element(X1,X2,X3),X5)))))))),inference(fof_nnf,[status(thm)],[103])).
% fof(404, negated_conjecture,?[X6]:((~(empty_carrier(X6))&one_sorted_str(X6))&?[X7]:(((~(empty_carrier(X7))&directed_relstr(X7))&net_str(X7,X6))&?[X8]:(element(X8,the_carrier(X7))&?[X9]:(element(X9,the_carrier(X7))&?[X10]:(element(X10,the_carrier(netstr_restr_to_element(X6,X7,X8)))&(X9=X10&~(apply_netmap(X6,X7,X9)=apply_netmap(X6,netstr_restr_to_element(X6,X7,X8),X10)))))))),inference(variable_rename,[status(thm)],[403])).
% fof(405, negated_conjecture,((~(empty_carrier(esk22_0))&one_sorted_str(esk22_0))&(((~(empty_carrier(esk23_0))&directed_relstr(esk23_0))&net_str(esk23_0,esk22_0))&(element(esk24_0,the_carrier(esk23_0))&(element(esk25_0,the_carrier(esk23_0))&(element(esk26_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))&(esk25_0=esk26_0&~(apply_netmap(esk22_0,esk23_0,esk25_0)=apply_netmap(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk26_0)))))))),inference(skolemize,[status(esa)],[404])).
% cnf(406,negated_conjecture,(apply_netmap(esk22_0,esk23_0,esk25_0)!=apply_netmap(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk26_0)),inference(split_conjunct,[status(thm)],[405])).
% cnf(407,negated_conjecture,(esk25_0=esk26_0),inference(split_conjunct,[status(thm)],[405])).
% cnf(408,negated_conjecture,(element(esk26_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))),inference(split_conjunct,[status(thm)],[405])).
% cnf(409,negated_conjecture,(element(esk25_0,the_carrier(esk23_0))),inference(split_conjunct,[status(thm)],[405])).
% cnf(410,negated_conjecture,(element(esk24_0,the_carrier(esk23_0))),inference(split_conjunct,[status(thm)],[405])).
% cnf(411,negated_conjecture,(net_str(esk23_0,esk22_0)),inference(split_conjunct,[status(thm)],[405])).
% cnf(412,negated_conjecture,(directed_relstr(esk23_0)),inference(split_conjunct,[status(thm)],[405])).
% cnf(413,negated_conjecture,(~empty_carrier(esk23_0)),inference(split_conjunct,[status(thm)],[405])).
% cnf(414,negated_conjecture,(one_sorted_str(esk22_0)),inference(split_conjunct,[status(thm)],[405])).
% cnf(415,negated_conjecture,(~empty_carrier(esk22_0)),inference(split_conjunct,[status(thm)],[405])).
% cnf(419,negated_conjecture,(apply_netmap(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk25_0)!=apply_netmap(esk22_0,esk23_0,esk25_0)),inference(rw,[status(thm)],[406,407,theory(equality)])).
% cnf(421,negated_conjecture,(element(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))),inference(rw,[status(thm)],[408,407,theory(equality)])).
% cnf(422,negated_conjecture,(rel_str(esk23_0)|~one_sorted_str(esk22_0)),inference(spm,[status(thm)],[153,411,theory(equality)])).
% cnf(425,negated_conjecture,(rel_str(esk23_0)|$false),inference(rw,[status(thm)],[422,414,theory(equality)])).
% cnf(426,negated_conjecture,(rel_str(esk23_0)),inference(cn,[status(thm)],[425,theory(equality)])).
% cnf(458,plain,(relation(X1)|~relation_of2_as_subset(X1,X2,X3)),inference(spm,[status(thm)],[354,373,theory(equality)])).
% cnf(464,plain,(relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))|~net_str(X2,X1)|~one_sorted_str(X1)),inference(spm,[status(thm)],[361,223,theory(equality)])).
% cnf(469,plain,(rel_str(netstr_restr_to_element(X1,X2,X3))|empty_carrier(X2)|empty_carrier(X1)|~one_sorted_str(X1)|~element(X3,the_carrier(X2))|~net_str(X2,X1)),inference(spm,[status(thm)],[153,129,theory(equality)])).
% cnf(475,plain,(apply(partfun_dom_restriction(X4,X5,X1,X2),X3)=apply(X1,X3)|~in(X3,X2)|~function(X1)|~relation(X1)|~relation_of2(X1,X4,X5)),inference(spm,[status(thm)],[364,345,theory(equality)])).
% cnf(505,plain,(partfun_dom_restriction(the_carrier(X1),the_carrier(X2),the_mapping(X2,X1),the_carrier(netstr_restr_to_element(X2,X1,X3)))=the_mapping(X2,netstr_restr_to_element(X2,X1,X3))|empty_carrier(X2)|empty_carrier(X1)|~strict_net_str(netstr_restr_to_element(X2,X1,X3),X2)|~element(X3,the_carrier(X1))|~net_str(netstr_restr_to_element(X2,X1,X3),X2)|~net_str(X1,X2)|~one_sorted_str(X2)),inference(er,[status(thm)],[191,theory(equality)])).
% cnf(507,plain,(apply(the_mapping(X2,X1),X3)=apply_netmap(X2,X1,X3)|empty_carrier(X2)|empty_carrier(X1)|~element(X3,the_carrier(X1))|~net_str(X1,X2)|~one_sorted_str(X2)|~quasi_total(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))|~function(the_mapping(X2,X1))|~relation_of2(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))|~one_sorted_str(X1)),inference(spm,[status(thm)],[137,182,theory(equality)])).
% cnf(513,negated_conjecture,(one_sorted_str(esk23_0)),inference(spm,[status(thm)],[219,426,theory(equality)])).
% cnf(529,plain,(relation(X1)|~relation_of2(X1,X2,X3)),inference(spm,[status(thm)],[458,360,theory(equality)])).
% cnf(637,plain,(one_sorted_str(netstr_restr_to_element(X1,X2,X3))|empty_carrier(X1)|empty_carrier(X2)|~element(X3,the_carrier(X2))|~net_str(X2,X1)|~one_sorted_str(X1)),inference(spm,[status(thm)],[219,469,theory(equality)])).
% cnf(711,plain,(apply(partfun_dom_restriction(X4,X5,X1,X2),X3)=apply(X1,X3)|~in(X3,X2)|~function(X1)|~relation_of2(X1,X4,X5)),inference(csr,[status(thm)],[475,529])).
% cnf(1049,plain,(partfun_dom_restriction(the_carrier(X1),the_carrier(X2),the_mapping(X2,X1),the_carrier(netstr_restr_to_element(X2,X1,X3)))=the_mapping(X2,netstr_restr_to_element(X2,X1,X3))|empty_carrier(X2)|empty_carrier(X1)|~strict_net_str(netstr_restr_to_element(X2,X1,X3),X2)|~element(X3,the_carrier(X1))|~net_str(X1,X2)|~one_sorted_str(X2)),inference(csr,[status(thm)],[505,129])).
% cnf(1050,plain,(partfun_dom_restriction(the_carrier(X1),the_carrier(X2),the_mapping(X2,X1),the_carrier(netstr_restr_to_element(X2,X1,X3)))=the_mapping(X2,netstr_restr_to_element(X2,X1,X3))|empty_carrier(X2)|empty_carrier(X1)|~element(X3,the_carrier(X1))|~net_str(X1,X2)|~one_sorted_str(X2)),inference(csr,[status(thm)],[1049,130])).
% cnf(1057,plain,(apply(the_mapping(X2,netstr_restr_to_element(X2,X1,X3)),X4)=apply(the_mapping(X2,X1),X4)|empty_carrier(X1)|empty_carrier(X2)|~in(X4,the_carrier(netstr_restr_to_element(X2,X1,X3)))|~function(the_mapping(X2,X1))|~relation_of2(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))|~element(X3,the_carrier(X1))|~net_str(X1,X2)|~one_sorted_str(X2)),inference(spm,[status(thm)],[711,1050,theory(equality)])).
% cnf(1110,plain,(apply(the_mapping(X2,X1),X3)=apply_netmap(X2,X1,X3)|empty_carrier(X2)|empty_carrier(X1)|~quasi_total(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))|~function(the_mapping(X2,X1))|~element(X3,the_carrier(X1))|~net_str(X1,X2)|~one_sorted_str(X1)|~one_sorted_str(X2)),inference(csr,[status(thm)],[507,464])).
% cnf(1111,plain,(apply(the_mapping(X2,X1),X3)=apply_netmap(X2,X1,X3)|empty_carrier(X2)|empty_carrier(X1)|~quasi_total(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))|~element(X3,the_carrier(X1))|~net_str(X1,X2)|~one_sorted_str(X1)|~one_sorted_str(X2)),inference(csr,[status(thm)],[1110,225])).
% cnf(1112,plain,(apply(the_mapping(X2,X1),X3)=apply_netmap(X2,X1,X3)|empty_carrier(X2)|empty_carrier(X1)|~element(X3,the_carrier(X1))|~net_str(X1,X2)|~one_sorted_str(X1)|~one_sorted_str(X2)),inference(csr,[status(thm)],[1111,224])).
% cnf(7498,plain,(apply(the_mapping(X2,netstr_restr_to_element(X2,X1,X3)),X4)=apply(the_mapping(X2,X1),X4)|empty_carrier(X1)|empty_carrier(X2)|~in(X4,the_carrier(netstr_restr_to_element(X2,X1,X3)))|~function(the_mapping(X2,X1))|~element(X3,the_carrier(X1))|~net_str(X1,X2)|~one_sorted_str(X2)),inference(csr,[status(thm)],[1057,464])).
% cnf(7499,plain,(apply(the_mapping(X2,netstr_restr_to_element(X2,X1,X3)),X4)=apply(the_mapping(X2,X1),X4)|empty_carrier(X1)|empty_carrier(X2)|~in(X4,the_carrier(netstr_restr_to_element(X2,X1,X3)))|~element(X3,the_carrier(X1))|~net_str(X1,X2)|~one_sorted_str(X2)),inference(csr,[status(thm)],[7498,225])).
% cnf(7501,plain,(apply(the_mapping(X1,X2),X4)=apply_netmap(X1,netstr_restr_to_element(X1,X2,X3),X4)|empty_carrier(netstr_restr_to_element(X1,X2,X3))|empty_carrier(X1)|empty_carrier(X2)|~element(X4,the_carrier(netstr_restr_to_element(X1,X2,X3)))|~net_str(netstr_restr_to_element(X1,X2,X3),X1)|~one_sorted_str(X1)|~one_sorted_str(netstr_restr_to_element(X1,X2,X3))|~in(X4,the_carrier(netstr_restr_to_element(X1,X2,X3)))|~element(X3,the_carrier(X2))|~net_str(X2,X1)),inference(spm,[status(thm)],[1112,7499,theory(equality)])).
% cnf(290262,plain,(apply_netmap(X1,netstr_restr_to_element(X1,X2,X3),X4)=apply(the_mapping(X1,X2),X4)|empty_carrier(netstr_restr_to_element(X1,X2,X3))|empty_carrier(X1)|empty_carrier(X2)|~in(X4,the_carrier(netstr_restr_to_element(X1,X2,X3)))|~element(X4,the_carrier(netstr_restr_to_element(X1,X2,X3)))|~element(X3,the_carrier(X2))|~net_str(netstr_restr_to_element(X1,X2,X3),X1)|~net_str(X2,X1)|~one_sorted_str(X1)),inference(csr,[status(thm)],[7501,637])).
% cnf(290263,plain,(apply_netmap(X1,netstr_restr_to_element(X1,X2,X3),X4)=apply(the_mapping(X1,X2),X4)|empty_carrier(netstr_restr_to_element(X1,X2,X3))|empty_carrier(X1)|empty_carrier(X2)|~in(X4,the_carrier(netstr_restr_to_element(X1,X2,X3)))|~element(X4,the_carrier(netstr_restr_to_element(X1,X2,X3)))|~element(X3,the_carrier(X2))|~net_str(X2,X1)|~one_sorted_str(X1)),inference(csr,[status(thm)],[290262,129])).
% cnf(290264,plain,(apply_netmap(X1,netstr_restr_to_element(X1,X2,X3),X4)=apply(the_mapping(X1,X2),X4)|empty_carrier(netstr_restr_to_element(X1,X2,X3))|empty_carrier(X1)|empty_carrier(X2)|~in(X4,the_carrier(netstr_restr_to_element(X1,X2,X3)))|~element(X3,the_carrier(X2))|~net_str(X2,X1)|~one_sorted_str(X1)),inference(csr,[status(thm)],[290263,203])).
% cnf(290265,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk23_0)|empty_carrier(esk22_0)|apply(the_mapping(esk22_0,esk23_0),esk25_0)!=apply_netmap(esk22_0,esk23_0,esk25_0)|~in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))|~element(esk24_0,the_carrier(esk23_0))|~net_str(esk23_0,esk22_0)|~one_sorted_str(esk22_0)),inference(spm,[status(thm)],[419,290264,theory(equality)])).
% cnf(290268,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk23_0)|empty_carrier(esk22_0)|apply(the_mapping(esk22_0,esk23_0),esk25_0)!=apply_netmap(esk22_0,esk23_0,esk25_0)|~in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))|$false|~net_str(esk23_0,esk22_0)|~one_sorted_str(esk22_0)),inference(rw,[status(thm)],[290265,410,theory(equality)])).
% cnf(290269,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk23_0)|empty_carrier(esk22_0)|apply(the_mapping(esk22_0,esk23_0),esk25_0)!=apply_netmap(esk22_0,esk23_0,esk25_0)|~in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))|$false|$false|~one_sorted_str(esk22_0)),inference(rw,[status(thm)],[290268,411,theory(equality)])).
% cnf(290270,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk23_0)|empty_carrier(esk22_0)|apply(the_mapping(esk22_0,esk23_0),esk25_0)!=apply_netmap(esk22_0,esk23_0,esk25_0)|~in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))|$false|$false|$false),inference(rw,[status(thm)],[290269,414,theory(equality)])).
% cnf(290271,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk23_0)|empty_carrier(esk22_0)|apply(the_mapping(esk22_0,esk23_0),esk25_0)!=apply_netmap(esk22_0,esk23_0,esk25_0)|~in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))),inference(cn,[status(thm)],[290270,theory(equality)])).
% cnf(290272,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk22_0)|apply(the_mapping(esk22_0,esk23_0),esk25_0)!=apply_netmap(esk22_0,esk23_0,esk25_0)|~in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))),inference(sr,[status(thm)],[290271,413,theory(equality)])).
% cnf(290273,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|apply(the_mapping(esk22_0,esk23_0),esk25_0)!=apply_netmap(esk22_0,esk23_0,esk25_0)|~in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))),inference(sr,[status(thm)],[290272,415,theory(equality)])).
% cnf(290274,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk23_0)|empty_carrier(esk22_0)|~in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))|~element(esk25_0,the_carrier(esk23_0))|~net_str(esk23_0,esk22_0)|~one_sorted_str(esk22_0)|~one_sorted_str(esk23_0)),inference(spm,[status(thm)],[290273,1112,theory(equality)])).
% cnf(290275,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk23_0)|empty_carrier(esk22_0)|~in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))|$false|~net_str(esk23_0,esk22_0)|~one_sorted_str(esk22_0)|~one_sorted_str(esk23_0)),inference(rw,[status(thm)],[290274,409,theory(equality)])).
% cnf(290276,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk23_0)|empty_carrier(esk22_0)|~in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))|$false|$false|~one_sorted_str(esk22_0)|~one_sorted_str(esk23_0)),inference(rw,[status(thm)],[290275,411,theory(equality)])).
% cnf(290277,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk23_0)|empty_carrier(esk22_0)|~in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))|$false|$false|$false|~one_sorted_str(esk23_0)),inference(rw,[status(thm)],[290276,414,theory(equality)])).
% cnf(290278,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk23_0)|empty_carrier(esk22_0)|~in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))|$false|$false|$false|$false),inference(rw,[status(thm)],[290277,513,theory(equality)])).
% cnf(290279,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk23_0)|empty_carrier(esk22_0)|~in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))),inference(cn,[status(thm)],[290278,theory(equality)])).
% cnf(290280,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk22_0)|~in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))),inference(sr,[status(thm)],[290279,413,theory(equality)])).
% cnf(290281,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|~in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))),inference(sr,[status(thm)],[290280,415,theory(equality)])).
% cnf(290282,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty(the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))|~element(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))),inference(spm,[status(thm)],[290281,320,theory(equality)])).
% cnf(290284,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty(the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))|$false),inference(rw,[status(thm)],[290282,421,theory(equality)])).
% cnf(290285,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty(the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))),inference(cn,[status(thm)],[290284,theory(equality)])).
% cnf(290359,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|~one_sorted_str(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))),inference(spm,[status(thm)],[133,290285,theory(equality)])).
% cnf(290367,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk23_0)|empty_carrier(esk22_0)|~element(esk24_0,the_carrier(esk23_0))|~net_str(esk23_0,esk22_0)|~one_sorted_str(esk22_0)),inference(spm,[status(thm)],[290359,637,theory(equality)])).
% cnf(290368,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk23_0)|empty_carrier(esk22_0)|$false|~net_str(esk23_0,esk22_0)|~one_sorted_str(esk22_0)),inference(rw,[status(thm)],[290367,410,theory(equality)])).
% cnf(290369,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk23_0)|empty_carrier(esk22_0)|$false|$false|~one_sorted_str(esk22_0)),inference(rw,[status(thm)],[290368,411,theory(equality)])).
% cnf(290370,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk23_0)|empty_carrier(esk22_0)|$false|$false|$false),inference(rw,[status(thm)],[290369,414,theory(equality)])).
% cnf(290371,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk23_0)|empty_carrier(esk22_0)),inference(cn,[status(thm)],[290370,theory(equality)])).
% cnf(290372,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))|empty_carrier(esk22_0)),inference(sr,[status(thm)],[290371,413,theory(equality)])).
% cnf(290373,negated_conjecture,(empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))),inference(sr,[status(thm)],[290372,415,theory(equality)])).
% cnf(290377,negated_conjecture,(empty_carrier(esk23_0)|empty_carrier(esk22_0)|~directed_relstr(esk23_0)|~element(esk24_0,the_carrier(esk23_0))|~net_str(esk23_0,esk22_0)|~one_sorted_str(esk22_0)),inference(spm,[status(thm)],[125,290373,theory(equality)])).
% cnf(290399,negated_conjecture,(empty_carrier(esk23_0)|empty_carrier(esk22_0)|$false|~element(esk24_0,the_carrier(esk23_0))|~net_str(esk23_0,esk22_0)|~one_sorted_str(esk22_0)),inference(rw,[status(thm)],[290377,412,theory(equality)])).
% cnf(290400,negated_conjecture,(empty_carrier(esk23_0)|empty_carrier(esk22_0)|$false|$false|~net_str(esk23_0,esk22_0)|~one_sorted_str(esk22_0)),inference(rw,[status(thm)],[290399,410,theory(equality)])).
% cnf(290401,negated_conjecture,(empty_carrier(esk23_0)|empty_carrier(esk22_0)|$false|$false|$false|~one_sorted_str(esk22_0)),inference(rw,[status(thm)],[290400,411,theory(equality)])).
% cnf(290402,negated_conjecture,(empty_carrier(esk23_0)|empty_carrier(esk22_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[290401,414,theory(equality)])).
% cnf(290403,negated_conjecture,(empty_carrier(esk23_0)|empty_carrier(esk22_0)),inference(cn,[status(thm)],[290402,theory(equality)])).
% cnf(290404,negated_conjecture,(empty_carrier(esk22_0)),inference(sr,[status(thm)],[290403,413,theory(equality)])).
% cnf(290405,negated_conjecture,($false),inference(sr,[status(thm)],[290404,415,theory(equality)])).
% cnf(290406,negated_conjecture,($false),290405,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 16681
% # ...of these trivial : 1
% # ...subsumed : 10504
% # ...remaining for further processing: 6176
% # Other redundant clauses eliminated : 9
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 124
% # Backward-rewritten : 15
% # Generated clauses : 267523
% # ...of the previous two non-trivial : 262940
% # Contextual simplify-reflections : 16481
% # Paramodulations : 267321
% # Factorizations : 0
% # Equation resolutions : 193
% # Current number of processed clauses: 6033
% # Positive orientable unit clauses: 562
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 13
% # Non-unit-clauses : 5458
% # Current number of unprocessed clauses: 223725
% # ...number of literals in the above : 823544
% # Clause-clause subsumption calls (NU) : 7332899
% # Rec. Clause-clause subsumption calls : 4881487
% # Unit Clause-clause subsumption calls : 694
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 69848
% # Indexed BW rewrite successes : 7
% # Backwards rewriting index: 729 leaves, 18.76+/-92.887 terms/leaf
% # Paramod-from index: 276 leaves, 14.34+/-86.205 terms/leaf
% # Paramod-into index: 630 leaves, 19.96+/-97.879 terms/leaf
% # -------------------------------------------------
% # User time : 18.034 s
% # System time : 0.497 s
% # Total time : 18.531 s
% # Maximum resident set size: 0 pages
% PrfWatch: 23.77 CPU 24.75 WC
% FINAL PrfWatch: 23.77 CPU 24.75 WC
% SZS output end Solution for /tmp/SystemOnTPTP31381/SEU385+1.tptp
%
%------------------------------------------------------------------------------