TSTP Solution File: SEU379+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU379+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 : art05.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 04:20:37 EST 2010
% Result : Theorem 56.00s
% Output : Solution 56.00s
% 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/SystemOnTPTP19448/SEU379+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP19448/SEU379+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP19448/SEU379+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 19544
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.93 CPU 2.01 WC
% PrfWatch: 3.54 CPU 4.02 WC
% PrfWatch: 5.17 CPU 6.02 WC
% PrfWatch: 7.17 CPU 8.03 WC
% PrfWatch: 9.15 CPU 10.03 WC
% PrfWatch: 11.15 CPU 12.04 WC
% PrfWatch: 13.14 CPU 14.04 WC
% PrfWatch: 15.12 CPU 16.05 WC
% PrfWatch: 17.11 CPU 18.05 WC
% PrfWatch: 19.10 CPU 20.06 WC
% PrfWatch: 21.08 CPU 22.06 WC
% PrfWatch: 23.07 CPU 24.07 WC
% PrfWatch: 25.06 CPU 26.07 WC
% PrfWatch: 27.05 CPU 28.08 WC
% PrfWatch: 29.04 CPU 30.08 WC
% PrfWatch: 31.02 CPU 32.09 WC
% PrfWatch: 32.99 CPU 34.09 WC
% PrfWatch: 34.97 CPU 36.10 WC
% # Preprocessing time : 0.027 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 36.98 CPU 38.10 WC
% PrfWatch: 38.97 CPU 40.11 WC
% PrfWatch: 40.97 CPU 42.11 WC
% PrfWatch: 42.96 CPU 44.12 WC
% PrfWatch: 44.95 CPU 46.12 WC
% PrfWatch: 46.95 CPU 48.13 WC
% PrfWatch: 48.94 CPU 50.13 WC
% PrfWatch: 50.93 CPU 52.14 WC
% PrfWatch: 52.93 CPU 54.14 WC
% PrfWatch: 54.55 CPU 56.15 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:((((((~(empty_carrier(X1))&one_sorted_str(X1))&~(empty_carrier(X2)))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(subnet(X3,X1,X2)=>(((~(empty_carrier(X3))&transitive_relstr(X3))&directed_relstr(X3))&net_str(X3,X1)))),file('/tmp/SRASS.s.p', dt_m2_yellow_6)).
% fof(7, axiom,![X1]:(one_sorted_str(X1)=>![X2]:(net_str(X2,X1)=>rel_str(X2))),file('/tmp/SRASS.s.p', dt_l1_waybel_0)).
% fof(9, axiom,![X1]:![X2]:((one_sorted_str(X1)&net_str(X2,X1))=>![X3]:(subnetstr(X3,X1,X2)=>net_str(X3,X1))),file('/tmp/SRASS.s.p', dt_m1_yellow_6)).
% fof(11, axiom,![X1]:![X2]:![X3]:((one_sorted_str(X1)&net_str(X2,X1))=>(strict_net_str(preimage_subnetstr(X1,X2,X3),X1)&subnetstr(preimage_subnetstr(X1,X2,X3),X1,X2))),file('/tmp/SRASS.s.p', dt_k6_yellow_6)).
% fof(12, axiom,![X1]:![X2]:~(((empty(X1)&~(X1=X2))&empty(X2))),file('/tmp/SRASS.s.p', t8_boole)).
% fof(15, axiom,![X1]:?[X2]:element(X2,X1),file('/tmp/SRASS.s.p', existence_m1_subset_1)).
% fof(16, axiom,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>~(empty(the_carrier(X1)))),file('/tmp/SRASS.s.p', fc1_struct_0)).
% fof(19, axiom,![X1]:(rel_str(X1)=>one_sorted_str(X1)),file('/tmp/SRASS.s.p', dt_l1_orders_2)).
% fof(20, axiom,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3]:(is_eventually_in(X1,X2,X3)<=>?[X4]:(element(X4,the_carrier(X2))&![X5]:(element(X5,the_carrier(X2))=>(related(X2,X4,X5)=>in(apply_netmap(X1,X2,X5),X3))))))),file('/tmp/SRASS.s.p', d11_waybel_0)).
% fof(21, 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(23, axiom,![X1]:![X2]:(element(X1,X2)=>(empty(X2)|in(X1,X2))),file('/tmp/SRASS.s.p', t2_subset)).
% fof(25, axiom,![X1]:(one_sorted_str(X1)=>![X2]:(net_str(X2,X1)=>![X3]:![X4]:((strict_net_str(X4,X1)&subnetstr(X4,X1,X2))=>(X4=preimage_subnetstr(X1,X2,X3)<=>((full_subrelstr(X4,X2)&subrelstr(X4,X2))&the_carrier(X4)=function_invverse_img_as_carrier_subset(X2,X1,the_mapping(X1,X2),X3)))))),file('/tmp/SRASS.s.p', d13_yellow_6)).
% fof(26, axiom,![X1]:(one_sorted_str(X1)=>![X2]:(net_str(X2,X1)=>![X3]:(net_str(X3,X1)=>(subnetstr(X3,X1,X2)<=>(subrelstr(X3,X2)&the_mapping(X1,X3)=relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3))))))),file('/tmp/SRASS.s.p', d8_yellow_6)).
% fof(30, axiom,![X1]:?[X2]:(element(X2,powerset(X1))&empty(X2)),file('/tmp/SRASS.s.p', rc2_subset_1)).
% fof(40, axiom,![X1]:(empty(X1)=>X1=empty_set),file('/tmp/SRASS.s.p', t6_boole)).
% fof(41, 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(42, 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(43, axiom,![X1]:![X2]:![X3]:~(((in(X1,X2)&element(X2,powerset(X3)))&empty(X3))),file('/tmp/SRASS.s.p', t5_subset)).
% fof(44, axiom,![X1]:(empty(X1)=>relation(X1)),file('/tmp/SRASS.s.p', cc1_relat_1)).
% fof(50, axiom,![X1]:(empty(X1)=>function(X1)),file('/tmp/SRASS.s.p', cc1_funct_1)).
% fof(53, axiom,![X1]:![X2]:![X3]:![X4]:(relation_of2(X3,X1,X2)=>relation_dom_restr_as_relation_of(X1,X2,X3,X4)=relation_dom_restriction(X3,X4)),file('/tmp/SRASS.s.p', redefinition_k8_relset_1)).
% fof(54, axiom,![X1]:![X2]:(in(X1,X2)=>element(X1,X2)),file('/tmp/SRASS.s.p', t1_subset)).
% fof(57, axiom,(empty(empty_set)&relation(empty_set)),file('/tmp/SRASS.s.p', fc4_relat_1)).
% fof(60, axiom,![X1]:![X2]:~((in(X1,X2)&empty(X2))),file('/tmp/SRASS.s.p', t7_boole)).
% fof(61, axiom,![X1]:((relation(X1)&function(X1))=>![X2]:![X3]:(X3=relation_inverse_image(X1,X2)<=>![X4]:(in(X4,X3)<=>(in(X4,relation_dom(X1))&in(apply(X1,X4),X2))))),file('/tmp/SRASS.s.p', d13_funct_1)).
% fof(65, axiom,![X1]:(empty(X1)=>(empty(relation_dom(X1))&relation(relation_dom(X1)))),file('/tmp/SRASS.s.p', fc7_relat_1)).
% fof(67, axiom,![X1]:![X2]:![X3]:![X4]:(((((one_sorted_str(X1)&one_sorted_str(X2))&function(X3))&quasi_total(X3,the_carrier(X1),the_carrier(X2)))&relation_of2(X3,the_carrier(X1),the_carrier(X2)))=>function_invverse_img_as_carrier_subset(X1,X2,X3,X4)=relation_inverse_image(X3,X4)),file('/tmp/SRASS.s.p', redefinition_k5_pre_topc)).
% fof(69, axiom,![X1]:![X2]:![X3]:(element(X3,powerset(cartesian_product2(X1,X2)))=>relation(X3)),file('/tmp/SRASS.s.p', cc1_relset_1)).
% fof(75, 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(77, axiom,?[X1]:(relation(X1)&function(X1)),file('/tmp/SRASS.s.p', rc1_funct_1)).
% fof(78, 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(81, 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(92, conjecture,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((((~(empty_carrier(X2))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:![X4]:(subnet(X4,X1,X2)=>(X4=preimage_subnetstr(X1,X2,X3)=>is_eventually_in(X1,X4,X3))))),file('/tmp/SRASS.s.p', t32_yellow_6)).
% fof(93, negated_conjecture,~(![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((((~(empty_carrier(X2))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:![X4]:(subnet(X4,X1,X2)=>(X4=preimage_subnetstr(X1,X2,X3)=>is_eventually_in(X1,X4,X3)))))),inference(assume_negation,[status(cth)],[92])).
% fof(94, plain,![X1]:![X2]:((((((~(empty_carrier(X1))&one_sorted_str(X1))&~(empty_carrier(X2)))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:(subnet(X3,X1,X2)=>(((~(empty_carrier(X3))&transitive_relstr(X3))&directed_relstr(X3))&net_str(X3,X1)))),inference(fof_simplification,[status(thm)],[1,theory(equality)])).
% fof(98, plain,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>~(empty(the_carrier(X1)))),inference(fof_simplification,[status(thm)],[16,theory(equality)])).
% fof(101, plain,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((~(empty_carrier(X2))&net_str(X2,X1))=>![X3]:(is_eventually_in(X1,X2,X3)<=>?[X4]:(element(X4,the_carrier(X2))&![X5]:(element(X5,the_carrier(X2))=>(related(X2,X4,X5)=>in(apply_netmap(X1,X2,X5),X3))))))),inference(fof_simplification,[status(thm)],[20,theory(equality)])).
% fof(102, 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)],[21,theory(equality)])).
% fof(107, 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)],[41,theory(equality)])).
% fof(115, negated_conjecture,~(![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>![X2]:((((~(empty_carrier(X2))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X3]:![X4]:(subnet(X4,X1,X2)=>(X4=preimage_subnetstr(X1,X2,X3)=>is_eventually_in(X1,X4,X3)))))),inference(fof_simplification,[status(thm)],[93,theory(equality)])).
% fof(116, plain,![X1]:![X2]:((((((empty_carrier(X1)|~(one_sorted_str(X1)))|empty_carrier(X2))|~(transitive_relstr(X2)))|~(directed_relstr(X2)))|~(net_str(X2,X1)))|![X3]:(~(subnet(X3,X1,X2))|(((~(empty_carrier(X3))&transitive_relstr(X3))&directed_relstr(X3))&net_str(X3,X1)))),inference(fof_nnf,[status(thm)],[94])).
% fof(117, plain,![X4]:![X5]:((((((empty_carrier(X4)|~(one_sorted_str(X4)))|empty_carrier(X5))|~(transitive_relstr(X5)))|~(directed_relstr(X5)))|~(net_str(X5,X4)))|![X6]:(~(subnet(X6,X4,X5))|(((~(empty_carrier(X6))&transitive_relstr(X6))&directed_relstr(X6))&net_str(X6,X4)))),inference(variable_rename,[status(thm)],[116])).
% fof(118, plain,![X4]:![X5]:![X6]:((~(subnet(X6,X4,X5))|(((~(empty_carrier(X6))&transitive_relstr(X6))&directed_relstr(X6))&net_str(X6,X4)))|(((((empty_carrier(X4)|~(one_sorted_str(X4)))|empty_carrier(X5))|~(transitive_relstr(X5)))|~(directed_relstr(X5)))|~(net_str(X5,X4)))),inference(shift_quantors,[status(thm)],[117])).
% fof(119, plain,![X4]:![X5]:![X6]:(((((~(empty_carrier(X6))|~(subnet(X6,X4,X5)))|(((((empty_carrier(X4)|~(one_sorted_str(X4)))|empty_carrier(X5))|~(transitive_relstr(X5)))|~(directed_relstr(X5)))|~(net_str(X5,X4))))&((transitive_relstr(X6)|~(subnet(X6,X4,X5)))|(((((empty_carrier(X4)|~(one_sorted_str(X4)))|empty_carrier(X5))|~(transitive_relstr(X5)))|~(directed_relstr(X5)))|~(net_str(X5,X4)))))&((directed_relstr(X6)|~(subnet(X6,X4,X5)))|(((((empty_carrier(X4)|~(one_sorted_str(X4)))|empty_carrier(X5))|~(transitive_relstr(X5)))|~(directed_relstr(X5)))|~(net_str(X5,X4)))))&((net_str(X6,X4)|~(subnet(X6,X4,X5)))|(((((empty_carrier(X4)|~(one_sorted_str(X4)))|empty_carrier(X5))|~(transitive_relstr(X5)))|~(directed_relstr(X5)))|~(net_str(X5,X4))))),inference(distribute,[status(thm)],[118])).
% cnf(120,plain,(empty_carrier(X1)|empty_carrier(X2)|net_str(X3,X2)|~net_str(X1,X2)|~directed_relstr(X1)|~transitive_relstr(X1)|~one_sorted_str(X2)|~subnet(X3,X2,X1)),inference(split_conjunct,[status(thm)],[119])).
% cnf(123,plain,(empty_carrier(X1)|empty_carrier(X2)|~net_str(X1,X2)|~directed_relstr(X1)|~transitive_relstr(X1)|~one_sorted_str(X2)|~subnet(X3,X2,X1)|~empty_carrier(X3)),inference(split_conjunct,[status(thm)],[119])).
% fof(145, plain,![X1]:(~(one_sorted_str(X1))|![X2]:(~(net_str(X2,X1))|rel_str(X2))),inference(fof_nnf,[status(thm)],[7])).
% fof(146, plain,![X3]:(~(one_sorted_str(X3))|![X4]:(~(net_str(X4,X3))|rel_str(X4))),inference(variable_rename,[status(thm)],[145])).
% fof(147, plain,![X3]:![X4]:((~(net_str(X4,X3))|rel_str(X4))|~(one_sorted_str(X3))),inference(shift_quantors,[status(thm)],[146])).
% cnf(148,plain,(rel_str(X2)|~one_sorted_str(X1)|~net_str(X2,X1)),inference(split_conjunct,[status(thm)],[147])).
% fof(155, plain,![X1]:![X2]:((~(one_sorted_str(X1))|~(net_str(X2,X1)))|![X3]:(~(subnetstr(X3,X1,X2))|net_str(X3,X1))),inference(fof_nnf,[status(thm)],[9])).
% fof(156, plain,![X4]:![X5]:((~(one_sorted_str(X4))|~(net_str(X5,X4)))|![X6]:(~(subnetstr(X6,X4,X5))|net_str(X6,X4))),inference(variable_rename,[status(thm)],[155])).
% fof(157, plain,![X4]:![X5]:![X6]:((~(subnetstr(X6,X4,X5))|net_str(X6,X4))|(~(one_sorted_str(X4))|~(net_str(X5,X4)))),inference(shift_quantors,[status(thm)],[156])).
% cnf(158,plain,(net_str(X3,X2)|~net_str(X1,X2)|~one_sorted_str(X2)|~subnetstr(X3,X2,X1)),inference(split_conjunct,[status(thm)],[157])).
% fof(163, plain,![X1]:![X2]:![X3]:((~(one_sorted_str(X1))|~(net_str(X2,X1)))|(strict_net_str(preimage_subnetstr(X1,X2,X3),X1)&subnetstr(preimage_subnetstr(X1,X2,X3),X1,X2))),inference(fof_nnf,[status(thm)],[11])).
% fof(164, plain,![X4]:![X5]:![X6]:((~(one_sorted_str(X4))|~(net_str(X5,X4)))|(strict_net_str(preimage_subnetstr(X4,X5,X6),X4)&subnetstr(preimage_subnetstr(X4,X5,X6),X4,X5))),inference(variable_rename,[status(thm)],[163])).
% fof(165, plain,![X4]:![X5]:![X6]:((strict_net_str(preimage_subnetstr(X4,X5,X6),X4)|(~(one_sorted_str(X4))|~(net_str(X5,X4))))&(subnetstr(preimage_subnetstr(X4,X5,X6),X4,X5)|(~(one_sorted_str(X4))|~(net_str(X5,X4))))),inference(distribute,[status(thm)],[164])).
% cnf(166,plain,(subnetstr(preimage_subnetstr(X2,X1,X3),X2,X1)|~net_str(X1,X2)|~one_sorted_str(X2)),inference(split_conjunct,[status(thm)],[165])).
% cnf(167,plain,(strict_net_str(preimage_subnetstr(X2,X1,X3),X2)|~net_str(X1,X2)|~one_sorted_str(X2)),inference(split_conjunct,[status(thm)],[165])).
% fof(168, plain,![X1]:![X2]:((~(empty(X1))|X1=X2)|~(empty(X2))),inference(fof_nnf,[status(thm)],[12])).
% fof(169, plain,![X3]:![X4]:((~(empty(X3))|X3=X4)|~(empty(X4))),inference(variable_rename,[status(thm)],[168])).
% cnf(170,plain,(X2=X1|~empty(X1)|~empty(X2)),inference(split_conjunct,[status(thm)],[169])).
% fof(177, plain,![X3]:?[X4]:element(X4,X3),inference(variable_rename,[status(thm)],[15])).
% fof(178, plain,![X3]:element(esk8_1(X3),X3),inference(skolemize,[status(esa)],[177])).
% cnf(179,plain,(element(esk8_1(X1),X1)),inference(split_conjunct,[status(thm)],[178])).
% fof(180, plain,![X1]:((empty_carrier(X1)|~(one_sorted_str(X1)))|~(empty(the_carrier(X1)))),inference(fof_nnf,[status(thm)],[98])).
% fof(181, plain,![X2]:((empty_carrier(X2)|~(one_sorted_str(X2)))|~(empty(the_carrier(X2)))),inference(variable_rename,[status(thm)],[180])).
% cnf(182,plain,(empty_carrier(X1)|~empty(the_carrier(X1))|~one_sorted_str(X1)),inference(split_conjunct,[status(thm)],[181])).
% fof(194, plain,![X1]:(~(rel_str(X1))|one_sorted_str(X1)),inference(fof_nnf,[status(thm)],[19])).
% fof(195, plain,![X2]:(~(rel_str(X2))|one_sorted_str(X2)),inference(variable_rename,[status(thm)],[194])).
% cnf(196,plain,(one_sorted_str(X1)|~rel_str(X1)),inference(split_conjunct,[status(thm)],[195])).
% fof(197, plain,![X1]:((empty_carrier(X1)|~(one_sorted_str(X1)))|![X2]:((empty_carrier(X2)|~(net_str(X2,X1)))|![X3]:((~(is_eventually_in(X1,X2,X3))|?[X4]:(element(X4,the_carrier(X2))&![X5]:(~(element(X5,the_carrier(X2)))|(~(related(X2,X4,X5))|in(apply_netmap(X1,X2,X5),X3)))))&(![X4]:(~(element(X4,the_carrier(X2)))|?[X5]:(element(X5,the_carrier(X2))&(related(X2,X4,X5)&~(in(apply_netmap(X1,X2,X5),X3)))))|is_eventually_in(X1,X2,X3))))),inference(fof_nnf,[status(thm)],[101])).
% fof(198, plain,![X6]:((empty_carrier(X6)|~(one_sorted_str(X6)))|![X7]:((empty_carrier(X7)|~(net_str(X7,X6)))|![X8]:((~(is_eventually_in(X6,X7,X8))|?[X9]:(element(X9,the_carrier(X7))&![X10]:(~(element(X10,the_carrier(X7)))|(~(related(X7,X9,X10))|in(apply_netmap(X6,X7,X10),X8)))))&(![X11]:(~(element(X11,the_carrier(X7)))|?[X12]:(element(X12,the_carrier(X7))&(related(X7,X11,X12)&~(in(apply_netmap(X6,X7,X12),X8)))))|is_eventually_in(X6,X7,X8))))),inference(variable_rename,[status(thm)],[197])).
% fof(199, plain,![X6]:((empty_carrier(X6)|~(one_sorted_str(X6)))|![X7]:((empty_carrier(X7)|~(net_str(X7,X6)))|![X8]:((~(is_eventually_in(X6,X7,X8))|(element(esk10_3(X6,X7,X8),the_carrier(X7))&![X10]:(~(element(X10,the_carrier(X7)))|(~(related(X7,esk10_3(X6,X7,X8),X10))|in(apply_netmap(X6,X7,X10),X8)))))&(![X11]:(~(element(X11,the_carrier(X7)))|(element(esk11_4(X6,X7,X8,X11),the_carrier(X7))&(related(X7,X11,esk11_4(X6,X7,X8,X11))&~(in(apply_netmap(X6,X7,esk11_4(X6,X7,X8,X11)),X8)))))|is_eventually_in(X6,X7,X8))))),inference(skolemize,[status(esa)],[198])).
% fof(200, plain,![X6]:![X7]:![X8]:![X10]:![X11]:(((((~(element(X11,the_carrier(X7)))|(element(esk11_4(X6,X7,X8,X11),the_carrier(X7))&(related(X7,X11,esk11_4(X6,X7,X8,X11))&~(in(apply_netmap(X6,X7,esk11_4(X6,X7,X8,X11)),X8)))))|is_eventually_in(X6,X7,X8))&(((~(element(X10,the_carrier(X7)))|(~(related(X7,esk10_3(X6,X7,X8),X10))|in(apply_netmap(X6,X7,X10),X8)))&element(esk10_3(X6,X7,X8),the_carrier(X7)))|~(is_eventually_in(X6,X7,X8))))|(empty_carrier(X7)|~(net_str(X7,X6))))|(empty_carrier(X6)|~(one_sorted_str(X6)))),inference(shift_quantors,[status(thm)],[199])).
% fof(201, plain,![X6]:![X7]:![X8]:![X10]:![X11]:((((((element(esk11_4(X6,X7,X8,X11),the_carrier(X7))|~(element(X11,the_carrier(X7))))|is_eventually_in(X6,X7,X8))|(empty_carrier(X7)|~(net_str(X7,X6))))|(empty_carrier(X6)|~(one_sorted_str(X6))))&(((((related(X7,X11,esk11_4(X6,X7,X8,X11))|~(element(X11,the_carrier(X7))))|is_eventually_in(X6,X7,X8))|(empty_carrier(X7)|~(net_str(X7,X6))))|(empty_carrier(X6)|~(one_sorted_str(X6))))&((((~(in(apply_netmap(X6,X7,esk11_4(X6,X7,X8,X11)),X8))|~(element(X11,the_carrier(X7))))|is_eventually_in(X6,X7,X8))|(empty_carrier(X7)|~(net_str(X7,X6))))|(empty_carrier(X6)|~(one_sorted_str(X6))))))&(((((~(element(X10,the_carrier(X7)))|(~(related(X7,esk10_3(X6,X7,X8),X10))|in(apply_netmap(X6,X7,X10),X8)))|~(is_eventually_in(X6,X7,X8)))|(empty_carrier(X7)|~(net_str(X7,X6))))|(empty_carrier(X6)|~(one_sorted_str(X6))))&(((element(esk10_3(X6,X7,X8),the_carrier(X7))|~(is_eventually_in(X6,X7,X8)))|(empty_carrier(X7)|~(net_str(X7,X6))))|(empty_carrier(X6)|~(one_sorted_str(X6)))))),inference(distribute,[status(thm)],[200])).
% cnf(204,plain,(empty_carrier(X1)|empty_carrier(X2)|is_eventually_in(X1,X2,X3)|~one_sorted_str(X1)|~net_str(X2,X1)|~element(X4,the_carrier(X2))|~in(apply_netmap(X1,X2,esk11_4(X1,X2,X3,X4)),X3)),inference(split_conjunct,[status(thm)],[201])).
% cnf(206,plain,(empty_carrier(X1)|empty_carrier(X2)|is_eventually_in(X1,X2,X3)|element(esk11_4(X1,X2,X3,X4),the_carrier(X2))|~one_sorted_str(X1)|~net_str(X2,X1)|~element(X4,the_carrier(X2))),inference(split_conjunct,[status(thm)],[201])).
% fof(207, 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)],[102])).
% fof(208, 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)],[207])).
% fof(209, 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)],[208])).
% cnf(210,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)],[209])).
% fof(218, plain,![X1]:![X2]:(~(element(X1,X2))|(empty(X2)|in(X1,X2))),inference(fof_nnf,[status(thm)],[23])).
% fof(219, plain,![X3]:![X4]:(~(element(X3,X4))|(empty(X4)|in(X3,X4))),inference(variable_rename,[status(thm)],[218])).
% cnf(220,plain,(in(X1,X2)|empty(X2)|~element(X1,X2)),inference(split_conjunct,[status(thm)],[219])).
% fof(224, plain,![X1]:(~(one_sorted_str(X1))|![X2]:(~(net_str(X2,X1))|![X3]:![X4]:((~(strict_net_str(X4,X1))|~(subnetstr(X4,X1,X2)))|((~(X4=preimage_subnetstr(X1,X2,X3))|((full_subrelstr(X4,X2)&subrelstr(X4,X2))&the_carrier(X4)=function_invverse_img_as_carrier_subset(X2,X1,the_mapping(X1,X2),X3)))&(((~(full_subrelstr(X4,X2))|~(subrelstr(X4,X2)))|~(the_carrier(X4)=function_invverse_img_as_carrier_subset(X2,X1,the_mapping(X1,X2),X3)))|X4=preimage_subnetstr(X1,X2,X3)))))),inference(fof_nnf,[status(thm)],[25])).
% fof(225, plain,![X5]:(~(one_sorted_str(X5))|![X6]:(~(net_str(X6,X5))|![X7]:![X8]:((~(strict_net_str(X8,X5))|~(subnetstr(X8,X5,X6)))|((~(X8=preimage_subnetstr(X5,X6,X7))|((full_subrelstr(X8,X6)&subrelstr(X8,X6))&the_carrier(X8)=function_invverse_img_as_carrier_subset(X6,X5,the_mapping(X5,X6),X7)))&(((~(full_subrelstr(X8,X6))|~(subrelstr(X8,X6)))|~(the_carrier(X8)=function_invverse_img_as_carrier_subset(X6,X5,the_mapping(X5,X6),X7)))|X8=preimage_subnetstr(X5,X6,X7)))))),inference(variable_rename,[status(thm)],[224])).
% fof(226, plain,![X5]:![X6]:![X7]:![X8]:((((~(strict_net_str(X8,X5))|~(subnetstr(X8,X5,X6)))|((~(X8=preimage_subnetstr(X5,X6,X7))|((full_subrelstr(X8,X6)&subrelstr(X8,X6))&the_carrier(X8)=function_invverse_img_as_carrier_subset(X6,X5,the_mapping(X5,X6),X7)))&(((~(full_subrelstr(X8,X6))|~(subrelstr(X8,X6)))|~(the_carrier(X8)=function_invverse_img_as_carrier_subset(X6,X5,the_mapping(X5,X6),X7)))|X8=preimage_subnetstr(X5,X6,X7))))|~(net_str(X6,X5)))|~(one_sorted_str(X5))),inference(shift_quantors,[status(thm)],[225])).
% fof(227, plain,![X5]:![X6]:![X7]:![X8]:(((((((full_subrelstr(X8,X6)|~(X8=preimage_subnetstr(X5,X6,X7)))|(~(strict_net_str(X8,X5))|~(subnetstr(X8,X5,X6))))|~(net_str(X6,X5)))|~(one_sorted_str(X5)))&((((subrelstr(X8,X6)|~(X8=preimage_subnetstr(X5,X6,X7)))|(~(strict_net_str(X8,X5))|~(subnetstr(X8,X5,X6))))|~(net_str(X6,X5)))|~(one_sorted_str(X5))))&((((the_carrier(X8)=function_invverse_img_as_carrier_subset(X6,X5,the_mapping(X5,X6),X7)|~(X8=preimage_subnetstr(X5,X6,X7)))|(~(strict_net_str(X8,X5))|~(subnetstr(X8,X5,X6))))|~(net_str(X6,X5)))|~(one_sorted_str(X5))))&((((((~(full_subrelstr(X8,X6))|~(subrelstr(X8,X6)))|~(the_carrier(X8)=function_invverse_img_as_carrier_subset(X6,X5,the_mapping(X5,X6),X7)))|X8=preimage_subnetstr(X5,X6,X7))|(~(strict_net_str(X8,X5))|~(subnetstr(X8,X5,X6))))|~(net_str(X6,X5)))|~(one_sorted_str(X5)))),inference(distribute,[status(thm)],[226])).
% cnf(229,plain,(the_carrier(X3)=function_invverse_img_as_carrier_subset(X2,X1,the_mapping(X1,X2),X4)|~one_sorted_str(X1)|~net_str(X2,X1)|~subnetstr(X3,X1,X2)|~strict_net_str(X3,X1)|X3!=preimage_subnetstr(X1,X2,X4)),inference(split_conjunct,[status(thm)],[227])).
% fof(232, plain,![X1]:(~(one_sorted_str(X1))|![X2]:(~(net_str(X2,X1))|![X3]:(~(net_str(X3,X1))|((~(subnetstr(X3,X1,X2))|(subrelstr(X3,X2)&the_mapping(X1,X3)=relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3))))&((~(subrelstr(X3,X2))|~(the_mapping(X1,X3)=relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3))))|subnetstr(X3,X1,X2)))))),inference(fof_nnf,[status(thm)],[26])).
% fof(233, plain,![X4]:(~(one_sorted_str(X4))|![X5]:(~(net_str(X5,X4))|![X6]:(~(net_str(X6,X4))|((~(subnetstr(X6,X4,X5))|(subrelstr(X6,X5)&the_mapping(X4,X6)=relation_dom_restr_as_relation_of(the_carrier(X5),the_carrier(X4),the_mapping(X4,X5),the_carrier(X6))))&((~(subrelstr(X6,X5))|~(the_mapping(X4,X6)=relation_dom_restr_as_relation_of(the_carrier(X5),the_carrier(X4),the_mapping(X4,X5),the_carrier(X6))))|subnetstr(X6,X4,X5)))))),inference(variable_rename,[status(thm)],[232])).
% fof(234, plain,![X4]:![X5]:![X6]:(((~(net_str(X6,X4))|((~(subnetstr(X6,X4,X5))|(subrelstr(X6,X5)&the_mapping(X4,X6)=relation_dom_restr_as_relation_of(the_carrier(X5),the_carrier(X4),the_mapping(X4,X5),the_carrier(X6))))&((~(subrelstr(X6,X5))|~(the_mapping(X4,X6)=relation_dom_restr_as_relation_of(the_carrier(X5),the_carrier(X4),the_mapping(X4,X5),the_carrier(X6))))|subnetstr(X6,X4,X5))))|~(net_str(X5,X4)))|~(one_sorted_str(X4))),inference(shift_quantors,[status(thm)],[233])).
% fof(235, plain,![X4]:![X5]:![X6]:((((((subrelstr(X6,X5)|~(subnetstr(X6,X4,X5)))|~(net_str(X6,X4)))|~(net_str(X5,X4)))|~(one_sorted_str(X4)))&((((the_mapping(X4,X6)=relation_dom_restr_as_relation_of(the_carrier(X5),the_carrier(X4),the_mapping(X4,X5),the_carrier(X6))|~(subnetstr(X6,X4,X5)))|~(net_str(X6,X4)))|~(net_str(X5,X4)))|~(one_sorted_str(X4))))&(((((~(subrelstr(X6,X5))|~(the_mapping(X4,X6)=relation_dom_restr_as_relation_of(the_carrier(X5),the_carrier(X4),the_mapping(X4,X5),the_carrier(X6))))|subnetstr(X6,X4,X5))|~(net_str(X6,X4)))|~(net_str(X5,X4)))|~(one_sorted_str(X4)))),inference(distribute,[status(thm)],[234])).
% cnf(237,plain,(the_mapping(X1,X3)=relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3))|~one_sorted_str(X1)|~net_str(X2,X1)|~net_str(X3,X1)|~subnetstr(X3,X1,X2)),inference(split_conjunct,[status(thm)],[235])).
% fof(251, plain,![X3]:?[X4]:(element(X4,powerset(X3))&empty(X4)),inference(variable_rename,[status(thm)],[30])).
% fof(252, plain,![X3]:(element(esk16_1(X3),powerset(X3))&empty(esk16_1(X3))),inference(skolemize,[status(esa)],[251])).
% cnf(253,plain,(empty(esk16_1(X1))),inference(split_conjunct,[status(thm)],[252])).
% cnf(254,plain,(element(esk16_1(X1),powerset(X1))),inference(split_conjunct,[status(thm)],[252])).
% fof(297, plain,![X1]:(~(empty(X1))|X1=empty_set),inference(fof_nnf,[status(thm)],[40])).
% fof(298, plain,![X2]:(~(empty(X2))|X2=empty_set),inference(variable_rename,[status(thm)],[297])).
% cnf(299,plain,(X1=empty_set|~empty(X1)),inference(split_conjunct,[status(thm)],[298])).
% fof(300, 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)],[107])).
% fof(301, 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)],[300])).
% cnf(302,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)],[301])).
% fof(303, 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)],[42])).
% fof(304, 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)],[303])).
% fof(305, 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)],[304])).
% cnf(306,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)],[305])).
% cnf(307,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)],[305])).
% cnf(308,plain,(function(the_mapping(X2,X1))|~net_str(X1,X2)|~one_sorted_str(X2)),inference(split_conjunct,[status(thm)],[305])).
% fof(309, plain,![X1]:![X2]:![X3]:((~(in(X1,X2))|~(element(X2,powerset(X3))))|~(empty(X3))),inference(fof_nnf,[status(thm)],[43])).
% fof(310, plain,![X4]:![X5]:![X6]:((~(in(X4,X5))|~(element(X5,powerset(X6))))|~(empty(X6))),inference(variable_rename,[status(thm)],[309])).
% cnf(311,plain,(~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2)),inference(split_conjunct,[status(thm)],[310])).
% fof(312, plain,![X1]:(~(empty(X1))|relation(X1)),inference(fof_nnf,[status(thm)],[44])).
% fof(313, plain,![X2]:(~(empty(X2))|relation(X2)),inference(variable_rename,[status(thm)],[312])).
% cnf(314,plain,(relation(X1)|~empty(X1)),inference(split_conjunct,[status(thm)],[313])).
% fof(334, plain,![X1]:(~(empty(X1))|function(X1)),inference(fof_nnf,[status(thm)],[50])).
% fof(335, plain,![X2]:(~(empty(X2))|function(X2)),inference(variable_rename,[status(thm)],[334])).
% cnf(336,plain,(function(X1)|~empty(X1)),inference(split_conjunct,[status(thm)],[335])).
% fof(345, plain,![X1]:![X2]:![X3]:![X4]:(~(relation_of2(X3,X1,X2))|relation_dom_restr_as_relation_of(X1,X2,X3,X4)=relation_dom_restriction(X3,X4)),inference(fof_nnf,[status(thm)],[53])).
% fof(346, plain,![X5]:![X6]:![X7]:![X8]:(~(relation_of2(X7,X5,X6))|relation_dom_restr_as_relation_of(X5,X6,X7,X8)=relation_dom_restriction(X7,X8)),inference(variable_rename,[status(thm)],[345])).
% cnf(347,plain,(relation_dom_restr_as_relation_of(X1,X2,X3,X4)=relation_dom_restriction(X3,X4)|~relation_of2(X3,X1,X2)),inference(split_conjunct,[status(thm)],[346])).
% fof(348, plain,![X1]:![X2]:(~(in(X1,X2))|element(X1,X2)),inference(fof_nnf,[status(thm)],[54])).
% fof(349, plain,![X3]:![X4]:(~(in(X3,X4))|element(X3,X4)),inference(variable_rename,[status(thm)],[348])).
% cnf(350,plain,(element(X1,X2)|~in(X1,X2)),inference(split_conjunct,[status(thm)],[349])).
% cnf(357,plain,(empty(empty_set)),inference(split_conjunct,[status(thm)],[57])).
% fof(366, plain,![X1]:![X2]:(~(in(X1,X2))|~(empty(X2))),inference(fof_nnf,[status(thm)],[60])).
% fof(367, plain,![X3]:![X4]:(~(in(X3,X4))|~(empty(X4))),inference(variable_rename,[status(thm)],[366])).
% cnf(368,plain,(~empty(X1)|~in(X2,X1)),inference(split_conjunct,[status(thm)],[367])).
% fof(369, plain,![X1]:((~(relation(X1))|~(function(X1)))|![X2]:![X3]:((~(X3=relation_inverse_image(X1,X2))|![X4]:((~(in(X4,X3))|(in(X4,relation_dom(X1))&in(apply(X1,X4),X2)))&((~(in(X4,relation_dom(X1)))|~(in(apply(X1,X4),X2)))|in(X4,X3))))&(?[X4]:((~(in(X4,X3))|(~(in(X4,relation_dom(X1)))|~(in(apply(X1,X4),X2))))&(in(X4,X3)|(in(X4,relation_dom(X1))&in(apply(X1,X4),X2))))|X3=relation_inverse_image(X1,X2)))),inference(fof_nnf,[status(thm)],[61])).
% fof(370, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:![X7]:((~(X7=relation_inverse_image(X5,X6))|![X8]:((~(in(X8,X7))|(in(X8,relation_dom(X5))&in(apply(X5,X8),X6)))&((~(in(X8,relation_dom(X5)))|~(in(apply(X5,X8),X6)))|in(X8,X7))))&(?[X9]:((~(in(X9,X7))|(~(in(X9,relation_dom(X5)))|~(in(apply(X5,X9),X6))))&(in(X9,X7)|(in(X9,relation_dom(X5))&in(apply(X5,X9),X6))))|X7=relation_inverse_image(X5,X6)))),inference(variable_rename,[status(thm)],[369])).
% fof(371, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:![X7]:((~(X7=relation_inverse_image(X5,X6))|![X8]:((~(in(X8,X7))|(in(X8,relation_dom(X5))&in(apply(X5,X8),X6)))&((~(in(X8,relation_dom(X5)))|~(in(apply(X5,X8),X6)))|in(X8,X7))))&(((~(in(esk25_3(X5,X6,X7),X7))|(~(in(esk25_3(X5,X6,X7),relation_dom(X5)))|~(in(apply(X5,esk25_3(X5,X6,X7)),X6))))&(in(esk25_3(X5,X6,X7),X7)|(in(esk25_3(X5,X6,X7),relation_dom(X5))&in(apply(X5,esk25_3(X5,X6,X7)),X6))))|X7=relation_inverse_image(X5,X6)))),inference(skolemize,[status(esa)],[370])).
% fof(372, plain,![X5]:![X6]:![X7]:![X8]:(((((~(in(X8,X7))|(in(X8,relation_dom(X5))&in(apply(X5,X8),X6)))&((~(in(X8,relation_dom(X5)))|~(in(apply(X5,X8),X6)))|in(X8,X7)))|~(X7=relation_inverse_image(X5,X6)))&(((~(in(esk25_3(X5,X6,X7),X7))|(~(in(esk25_3(X5,X6,X7),relation_dom(X5)))|~(in(apply(X5,esk25_3(X5,X6,X7)),X6))))&(in(esk25_3(X5,X6,X7),X7)|(in(esk25_3(X5,X6,X7),relation_dom(X5))&in(apply(X5,esk25_3(X5,X6,X7)),X6))))|X7=relation_inverse_image(X5,X6)))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[371])).
% fof(373, plain,![X5]:![X6]:![X7]:![X8]:((((((in(X8,relation_dom(X5))|~(in(X8,X7)))|~(X7=relation_inverse_image(X5,X6)))|(~(relation(X5))|~(function(X5))))&(((in(apply(X5,X8),X6)|~(in(X8,X7)))|~(X7=relation_inverse_image(X5,X6)))|(~(relation(X5))|~(function(X5)))))&((((~(in(X8,relation_dom(X5)))|~(in(apply(X5,X8),X6)))|in(X8,X7))|~(X7=relation_inverse_image(X5,X6)))|(~(relation(X5))|~(function(X5)))))&((((~(in(esk25_3(X5,X6,X7),X7))|(~(in(esk25_3(X5,X6,X7),relation_dom(X5)))|~(in(apply(X5,esk25_3(X5,X6,X7)),X6))))|X7=relation_inverse_image(X5,X6))|(~(relation(X5))|~(function(X5))))&((((in(esk25_3(X5,X6,X7),relation_dom(X5))|in(esk25_3(X5,X6,X7),X7))|X7=relation_inverse_image(X5,X6))|(~(relation(X5))|~(function(X5))))&(((in(apply(X5,esk25_3(X5,X6,X7)),X6)|in(esk25_3(X5,X6,X7),X7))|X7=relation_inverse_image(X5,X6))|(~(relation(X5))|~(function(X5))))))),inference(distribute,[status(thm)],[372])).
% cnf(374,plain,(X2=relation_inverse_image(X1,X3)|in(esk25_3(X1,X3,X2),X2)|in(apply(X1,esk25_3(X1,X3,X2)),X3)|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[373])).
% cnf(375,plain,(X2=relation_inverse_image(X1,X3)|in(esk25_3(X1,X3,X2),X2)|in(esk25_3(X1,X3,X2),relation_dom(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[373])).
% cnf(378,plain,(in(apply(X1,X4),X3)|~function(X1)|~relation(X1)|X2!=relation_inverse_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[373])).
% fof(392, plain,![X1]:(~(empty(X1))|(empty(relation_dom(X1))&relation(relation_dom(X1)))),inference(fof_nnf,[status(thm)],[65])).
% fof(393, plain,![X2]:(~(empty(X2))|(empty(relation_dom(X2))&relation(relation_dom(X2)))),inference(variable_rename,[status(thm)],[392])).
% fof(394, plain,![X2]:((empty(relation_dom(X2))|~(empty(X2)))&(relation(relation_dom(X2))|~(empty(X2)))),inference(distribute,[status(thm)],[393])).
% cnf(396,plain,(empty(relation_dom(X1))|~empty(X1)),inference(split_conjunct,[status(thm)],[394])).
% fof(405, plain,![X1]:![X2]:![X3]:![X4]:(((((~(one_sorted_str(X1))|~(one_sorted_str(X2)))|~(function(X3)))|~(quasi_total(X3,the_carrier(X1),the_carrier(X2))))|~(relation_of2(X3,the_carrier(X1),the_carrier(X2))))|function_invverse_img_as_carrier_subset(X1,X2,X3,X4)=relation_inverse_image(X3,X4)),inference(fof_nnf,[status(thm)],[67])).
% fof(406, plain,![X5]:![X6]:![X7]:![X8]:(((((~(one_sorted_str(X5))|~(one_sorted_str(X6)))|~(function(X7)))|~(quasi_total(X7,the_carrier(X5),the_carrier(X6))))|~(relation_of2(X7,the_carrier(X5),the_carrier(X6))))|function_invverse_img_as_carrier_subset(X5,X6,X7,X8)=relation_inverse_image(X7,X8)),inference(variable_rename,[status(thm)],[405])).
% cnf(407,plain,(function_invverse_img_as_carrier_subset(X1,X2,X3,X4)=relation_inverse_image(X3,X4)|~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)],[406])).
% fof(413, plain,![X1]:![X2]:![X3]:(~(element(X3,powerset(cartesian_product2(X1,X2))))|relation(X3)),inference(fof_nnf,[status(thm)],[69])).
% fof(414, plain,![X4]:![X5]:![X6]:(~(element(X6,powerset(cartesian_product2(X4,X5))))|relation(X6)),inference(variable_rename,[status(thm)],[413])).
% cnf(415,plain,(relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3)))),inference(split_conjunct,[status(thm)],[414])).
% fof(436, plain,![X1]:![X2]:![X3]:(~(relation_of2_as_subset(X3,X1,X2))|element(X3,powerset(cartesian_product2(X1,X2)))),inference(fof_nnf,[status(thm)],[75])).
% fof(437, plain,![X4]:![X5]:![X6]:(~(relation_of2_as_subset(X6,X4,X5))|element(X6,powerset(cartesian_product2(X4,X5)))),inference(variable_rename,[status(thm)],[436])).
% cnf(438,plain,(element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[437])).
% fof(444, plain,?[X2]:(relation(X2)&function(X2)),inference(variable_rename,[status(thm)],[77])).
% fof(445, plain,(relation(esk26_0)&function(esk26_0)),inference(skolemize,[status(esa)],[444])).
% cnf(446,plain,(function(esk26_0)),inference(split_conjunct,[status(thm)],[445])).
% cnf(447,plain,(relation(esk26_0)),inference(split_conjunct,[status(thm)],[445])).
% fof(448, 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)],[78])).
% fof(449, 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)],[448])).
% cnf(451,plain,(relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[449])).
% fof(459, 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)],[81])).
% fof(460, 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)],[459])).
% cnf(461,plain,(apply(relation_dom_restriction(X1,X2),X3)=apply(X1,X3)|~in(X3,X2)|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[460])).
% fof(472, negated_conjecture,?[X1]:((~(empty_carrier(X1))&one_sorted_str(X1))&?[X2]:((((~(empty_carrier(X2))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))&?[X3]:?[X4]:(subnet(X4,X1,X2)&(X4=preimage_subnetstr(X1,X2,X3)&~(is_eventually_in(X1,X4,X3)))))),inference(fof_nnf,[status(thm)],[115])).
% fof(473, negated_conjecture,?[X5]:((~(empty_carrier(X5))&one_sorted_str(X5))&?[X6]:((((~(empty_carrier(X6))&transitive_relstr(X6))&directed_relstr(X6))&net_str(X6,X5))&?[X7]:?[X8]:(subnet(X8,X5,X6)&(X8=preimage_subnetstr(X5,X6,X7)&~(is_eventually_in(X5,X8,X7)))))),inference(variable_rename,[status(thm)],[472])).
% fof(474, negated_conjecture,((~(empty_carrier(esk28_0))&one_sorted_str(esk28_0))&((((~(empty_carrier(esk29_0))&transitive_relstr(esk29_0))&directed_relstr(esk29_0))&net_str(esk29_0,esk28_0))&(subnet(esk31_0,esk28_0,esk29_0)&(esk31_0=preimage_subnetstr(esk28_0,esk29_0,esk30_0)&~(is_eventually_in(esk28_0,esk31_0,esk30_0)))))),inference(skolemize,[status(esa)],[473])).
% cnf(475,negated_conjecture,(~is_eventually_in(esk28_0,esk31_0,esk30_0)),inference(split_conjunct,[status(thm)],[474])).
% cnf(476,negated_conjecture,(esk31_0=preimage_subnetstr(esk28_0,esk29_0,esk30_0)),inference(split_conjunct,[status(thm)],[474])).
% cnf(477,negated_conjecture,(subnet(esk31_0,esk28_0,esk29_0)),inference(split_conjunct,[status(thm)],[474])).
% cnf(478,negated_conjecture,(net_str(esk29_0,esk28_0)),inference(split_conjunct,[status(thm)],[474])).
% cnf(479,negated_conjecture,(directed_relstr(esk29_0)),inference(split_conjunct,[status(thm)],[474])).
% cnf(480,negated_conjecture,(transitive_relstr(esk29_0)),inference(split_conjunct,[status(thm)],[474])).
% cnf(481,negated_conjecture,(~empty_carrier(esk29_0)),inference(split_conjunct,[status(thm)],[474])).
% cnf(482,negated_conjecture,(one_sorted_str(esk28_0)),inference(split_conjunct,[status(thm)],[474])).
% cnf(483,negated_conjecture,(~empty_carrier(esk28_0)),inference(split_conjunct,[status(thm)],[474])).
% cnf(487,negated_conjecture,(rel_str(esk29_0)|~one_sorted_str(esk28_0)),inference(spm,[status(thm)],[148,478,theory(equality)])).
% cnf(490,negated_conjecture,(rel_str(esk29_0)|$false),inference(rw,[status(thm)],[487,482,theory(equality)])).
% cnf(491,negated_conjecture,(rel_str(esk29_0)),inference(cn,[status(thm)],[490,theory(equality)])).
% cnf(498,plain,(empty_set=esk16_1(X1)),inference(spm,[status(thm)],[299,253,theory(equality)])).
% cnf(512,negated_conjecture,(subnetstr(esk31_0,esk28_0,esk29_0)|~net_str(esk29_0,esk28_0)|~one_sorted_str(esk28_0)),inference(spm,[status(thm)],[166,476,theory(equality)])).
% cnf(513,negated_conjecture,(subnetstr(esk31_0,esk28_0,esk29_0)|$false|~one_sorted_str(esk28_0)),inference(rw,[status(thm)],[512,478,theory(equality)])).
% cnf(514,negated_conjecture,(subnetstr(esk31_0,esk28_0,esk29_0)|$false|$false),inference(rw,[status(thm)],[513,482,theory(equality)])).
% cnf(515,negated_conjecture,(subnetstr(esk31_0,esk28_0,esk29_0)),inference(cn,[status(thm)],[514,theory(equality)])).
% cnf(517,plain,(X1=relation_dom(X2)|~empty(X1)|~empty(X2)),inference(spm,[status(thm)],[170,396,theory(equality)])).
% cnf(563,plain,(relation(X1)|~relation_of2_as_subset(X1,X2,X3)),inference(spm,[status(thm)],[415,438,theory(equality)])).
% cnf(565,negated_conjecture,(empty_carrier(esk29_0)|empty_carrier(esk28_0)|~net_str(esk29_0,esk28_0)|~directed_relstr(esk29_0)|~transitive_relstr(esk29_0)|~one_sorted_str(esk28_0)|~empty_carrier(esk31_0)),inference(spm,[status(thm)],[123,477,theory(equality)])).
% cnf(566,negated_conjecture,(empty_carrier(esk29_0)|empty_carrier(esk28_0)|$false|~directed_relstr(esk29_0)|~transitive_relstr(esk29_0)|~one_sorted_str(esk28_0)|~empty_carrier(esk31_0)),inference(rw,[status(thm)],[565,478,theory(equality)])).
% cnf(567,negated_conjecture,(empty_carrier(esk29_0)|empty_carrier(esk28_0)|$false|$false|~transitive_relstr(esk29_0)|~one_sorted_str(esk28_0)|~empty_carrier(esk31_0)),inference(rw,[status(thm)],[566,479,theory(equality)])).
% cnf(568,negated_conjecture,(empty_carrier(esk29_0)|empty_carrier(esk28_0)|$false|$false|$false|~one_sorted_str(esk28_0)|~empty_carrier(esk31_0)),inference(rw,[status(thm)],[567,480,theory(equality)])).
% cnf(569,negated_conjecture,(empty_carrier(esk29_0)|empty_carrier(esk28_0)|$false|$false|$false|$false|~empty_carrier(esk31_0)),inference(rw,[status(thm)],[568,482,theory(equality)])).
% cnf(570,negated_conjecture,(empty_carrier(esk29_0)|empty_carrier(esk28_0)|~empty_carrier(esk31_0)),inference(cn,[status(thm)],[569,theory(equality)])).
% cnf(571,negated_conjecture,(empty_carrier(esk28_0)|~empty_carrier(esk31_0)),inference(sr,[status(thm)],[570,481,theory(equality)])).
% cnf(572,negated_conjecture,(~empty_carrier(esk31_0)),inference(sr,[status(thm)],[571,483,theory(equality)])).
% cnf(576,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)],[451,306,theory(equality)])).
% cnf(600,negated_conjecture,(net_str(esk31_0,esk28_0)|empty_carrier(esk29_0)|empty_carrier(esk28_0)|~net_str(esk29_0,esk28_0)|~directed_relstr(esk29_0)|~transitive_relstr(esk29_0)|~one_sorted_str(esk28_0)),inference(spm,[status(thm)],[120,477,theory(equality)])).
% cnf(601,negated_conjecture,(net_str(esk31_0,esk28_0)|empty_carrier(esk29_0)|empty_carrier(esk28_0)|$false|~directed_relstr(esk29_0)|~transitive_relstr(esk29_0)|~one_sorted_str(esk28_0)),inference(rw,[status(thm)],[600,478,theory(equality)])).
% cnf(602,negated_conjecture,(net_str(esk31_0,esk28_0)|empty_carrier(esk29_0)|empty_carrier(esk28_0)|$false|$false|~transitive_relstr(esk29_0)|~one_sorted_str(esk28_0)),inference(rw,[status(thm)],[601,479,theory(equality)])).
% cnf(603,negated_conjecture,(net_str(esk31_0,esk28_0)|empty_carrier(esk29_0)|empty_carrier(esk28_0)|$false|$false|$false|~one_sorted_str(esk28_0)),inference(rw,[status(thm)],[602,480,theory(equality)])).
% cnf(604,negated_conjecture,(net_str(esk31_0,esk28_0)|empty_carrier(esk29_0)|empty_carrier(esk28_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[603,482,theory(equality)])).
% cnf(605,negated_conjecture,(net_str(esk31_0,esk28_0)|empty_carrier(esk29_0)|empty_carrier(esk28_0)),inference(cn,[status(thm)],[604,theory(equality)])).
% cnf(606,negated_conjecture,(net_str(esk31_0,esk28_0)|empty_carrier(esk28_0)),inference(sr,[status(thm)],[605,481,theory(equality)])).
% cnf(607,negated_conjecture,(net_str(esk31_0,esk28_0)),inference(sr,[status(thm)],[606,483,theory(equality)])).
% cnf(613,plain,(in(apply(X1,X2),X3)|~function(X1)|~relation(X1)|~in(X2,relation_inverse_image(X1,X3))),inference(er,[status(thm)],[378,theory(equality)])).
% cnf(618,plain,(function_invverse_img_as_carrier_subset(X1,X2,the_mapping(X2,X1),X3)=the_carrier(preimage_subnetstr(X2,X1,X3))|~subnetstr(preimage_subnetstr(X2,X1,X3),X2,X1)|~strict_net_str(preimage_subnetstr(X2,X1,X3),X2)|~net_str(X1,X2)|~one_sorted_str(X2)),inference(er,[status(thm)],[229,theory(equality)])).
% cnf(624,plain,(is_eventually_in(X1,X2,X3)|empty_carrier(X1)|empty_carrier(X2)|empty(X3)|~element(X4,the_carrier(X2))|~net_str(X2,X1)|~one_sorted_str(X1)|~element(apply_netmap(X1,X2,esk11_4(X1,X2,X3,X4)),X3)),inference(spm,[status(thm)],[204,220,theory(equality)])).
% cnf(632,plain,(relation_inverse_image(X1,X2)=X3|in(esk25_3(X1,X2,X3),relation_dom(X1))|in(esk25_3(X1,X2,X3),X3)|~relation(X1)|~empty(X1)),inference(spm,[status(thm)],[375,336,theory(equality)])).
% cnf(647,plain,(relation_inverse_image(esk26_0,X1)=X2|in(apply(esk26_0,esk25_3(esk26_0,X1,X2)),X1)|in(esk25_3(esk26_0,X1,X2),X2)|~relation(esk26_0)),inference(spm,[status(thm)],[374,446,theory(equality)])).
% cnf(655,plain,(relation_inverse_image(esk26_0,X1)=X2|in(apply(esk26_0,esk25_3(esk26_0,X1,X2)),X1)|in(esk25_3(esk26_0,X1,X2),X2)|$false),inference(rw,[status(thm)],[647,447,theory(equality)])).
% cnf(656,plain,(relation_inverse_image(esk26_0,X1)=X2|in(apply(esk26_0,esk25_3(esk26_0,X1,X2)),X1)|in(esk25_3(esk26_0,X1,X2),X2)),inference(cn,[status(thm)],[655,theory(equality)])).
% cnf(670,plain,(relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3))=the_mapping(X1,X3)|~subnetstr(X3,X1,X2)|~net_str(X2,X1)|~one_sorted_str(X1)),inference(csr,[status(thm)],[237,158])).
% cnf(671,plain,(the_mapping(X2,X3)=relation_dom_restriction(the_mapping(X2,X1),the_carrier(X3))|~relation_of2(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))|~subnetstr(X3,X2,X1)|~net_str(X1,X2)|~one_sorted_str(X2)),inference(spm,[status(thm)],[347,670,theory(equality)])).
% cnf(682,plain,(apply(the_mapping(X2,X1),X3)=apply_netmap(X2,X1,X3)|empty_carrier(X2)|empty_carrier(X1)|~element(X3,the_carrier(X1))|~net_str(X1,X2)|~one_sorted_str(X2)|~quasi_total(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))|~function(the_mapping(X2,X1))|~relation_of2(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))|~one_sorted_str(X1)),inference(spm,[status(thm)],[210,302,theory(equality)])).
% cnf(685,negated_conjecture,(rel_str(esk31_0)|~one_sorted_str(esk28_0)),inference(spm,[status(thm)],[148,607,theory(equality)])).
% cnf(686,negated_conjecture,(rel_str(esk31_0)|$false),inference(rw,[status(thm)],[685,482,theory(equality)])).
% cnf(687,negated_conjecture,(rel_str(esk31_0)),inference(cn,[status(thm)],[686,theory(equality)])).
% cnf(689,negated_conjecture,(one_sorted_str(esk29_0)),inference(spm,[status(thm)],[196,491,theory(equality)])).
% cnf(690,negated_conjecture,(one_sorted_str(esk31_0)),inference(spm,[status(thm)],[196,687,theory(equality)])).
% cnf(696,plain,(element(empty_set,powerset(X1))),inference(rw,[status(thm)],[254,498,theory(equality)])).
% cnf(701,plain,(relation(the_mapping(X1,X2))|~net_str(X2,X1)|~one_sorted_str(X1)),inference(spm,[status(thm)],[563,306,theory(equality)])).
% cnf(725,plain,(~in(X2,empty_set)|~empty(X1)),inference(spm,[status(thm)],[311,696,theory(equality)])).
% fof(759, plain,(~(epred1_0)<=>![X2]:~(in(X2,empty_set))),introduced(definition),['split']).
% cnf(760,plain,(epred1_0|~in(X2,empty_set)),inference(split_equiv,[status(thm)],[759])).
% fof(761, plain,(~(epred2_0)<=>![X1]:~(empty(X1))),introduced(definition),['split']).
% cnf(762,plain,(epred2_0|~empty(X1)),inference(split_equiv,[status(thm)],[761])).
% cnf(763,plain,(~epred2_0|~epred1_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[725,759,theory(equality)]),761,theory(equality)]),['split']).
% cnf(772,plain,(epred2_0),inference(spm,[status(thm)],[762,357,theory(equality)])).
% cnf(773,plain,($false|~epred1_0),inference(rw,[status(thm)],[763,772,theory(equality)])).
% cnf(774,plain,(~epred1_0),inference(cn,[status(thm)],[773,theory(equality)])).
% cnf(776,plain,(~in(X2,empty_set)),inference(sr,[status(thm)],[760,774,theory(equality)])).
% cnf(925,plain,(~function(X1)|~relation(X1)|~in(X2,relation_inverse_image(X1,empty_set))),inference(spm,[status(thm)],[776,613,theory(equality)])).
% cnf(926,plain,(~empty(X3)|~function(X1)|~relation(X1)|~in(X2,relation_inverse_image(X1,X3))),inference(spm,[status(thm)],[368,613,theory(equality)])).
% cnf(927,plain,(element(apply(X1,X2),X3)|~function(X1)|~relation(X1)|~in(X2,relation_inverse_image(X1,X3))),inference(spm,[status(thm)],[350,613,theory(equality)])).
% cnf(947,plain,(empty(relation_inverse_image(X1,X3))|~function(X1)|~relation(X1)|~empty(X3)|~element(X2,relation_inverse_image(X1,X3))),inference(spm,[status(thm)],[926,220,theory(equality)])).
% cnf(993,plain,(empty(relation_inverse_image(X1,X2))|~function(X1)|~relation(X1)|~empty(X2)),inference(spm,[status(thm)],[947,179,theory(equality)])).
% cnf(995,plain,(relation_inverse_image(X1,X2)=relation_dom(X3)|~empty(X3)|~function(X1)|~relation(X1)|~empty(X2)),inference(spm,[status(thm)],[517,993,theory(equality)])).
% cnf(1010,plain,(function_invverse_img_as_carrier_subset(X1,X2,the_mapping(X2,X1),X3)=the_carrier(preimage_subnetstr(X2,X1,X3))|~subnetstr(preimage_subnetstr(X2,X1,X3),X2,X1)|~net_str(X1,X2)|~one_sorted_str(X2)),inference(csr,[status(thm)],[618,167])).
% cnf(1011,plain,(function_invverse_img_as_carrier_subset(X1,X2,the_mapping(X2,X1),X3)=the_carrier(preimage_subnetstr(X2,X1,X3))|~net_str(X1,X2)|~one_sorted_str(X2)),inference(csr,[status(thm)],[1010,166])).
% cnf(1012,plain,(the_carrier(preimage_subnetstr(X2,X1,X3))=relation_inverse_image(the_mapping(X2,X1),X3)|~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(X2)|~one_sorted_str(X1)|~net_str(X1,X2)),inference(spm,[status(thm)],[407,1011,theory(equality)])).
% cnf(1079,plain,(~function(X1)|~relation(X1)|~in(X2,relation_dom(X3))|~empty(X3)|~empty(empty_set)),inference(spm,[status(thm)],[925,995,theory(equality)])).
% cnf(1089,plain,(~function(X1)|~relation(X1)|~in(X2,relation_dom(X3))|~empty(X3)|$false),inference(rw,[status(thm)],[1079,357,theory(equality)])).
% cnf(1090,plain,(~function(X1)|~relation(X1)|~in(X2,relation_dom(X3))|~empty(X3)),inference(cn,[status(thm)],[1089,theory(equality)])).
% fof(1091, plain,(~(epred3_0)<=>![X1]:(~(function(X1))|~(relation(X1)))),introduced(definition),['split']).
% cnf(1092,plain,(epred3_0|~relation(X1)|~function(X1)),inference(split_equiv,[status(thm)],[1091])).
% fof(1093, plain,(~(epred4_0)<=>![X2]:![X3]:(~(in(X2,relation_dom(X3)))|~(empty(X3)))),introduced(definition),['split']).
% cnf(1094,plain,(epred4_0|~empty(X3)|~in(X2,relation_dom(X3))),inference(split_equiv,[status(thm)],[1093])).
% cnf(1095,plain,(~epred4_0|~epred3_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[1090,1091,theory(equality)]),1093,theory(equality)]),['split']).
% cnf(1101,plain,(epred3_0|~relation(esk26_0)),inference(spm,[status(thm)],[1092,446,theory(equality)])).
% cnf(1109,plain,(epred3_0|$false),inference(rw,[status(thm)],[1101,447,theory(equality)])).
% cnf(1110,plain,(epred3_0),inference(cn,[status(thm)],[1109,theory(equality)])).
% cnf(1119,plain,(~epred4_0|$false),inference(rw,[status(thm)],[1095,1110,theory(equality)])).
% cnf(1120,plain,(~epred4_0),inference(cn,[status(thm)],[1119,theory(equality)])).
% cnf(1122,plain,(~empty(X3)|~in(X2,relation_dom(X3))),inference(sr,[status(thm)],[1094,1120,theory(equality)])).
% cnf(1373,plain,(relation_inverse_image(X1,X2)=X3|in(esk25_3(X1,X2,X3),relation_dom(X1))|in(esk25_3(X1,X2,X3),X3)|~empty(X1)),inference(csr,[status(thm)],[632,314])).
% cnf(1374,plain,(relation_inverse_image(X1,X2)=X3|in(esk25_3(X1,X2,X3),X3)|~empty(X1)),inference(csr,[status(thm)],[1373,1122])).
% cnf(1387,plain,(relation_inverse_image(X2,X3)=relation_inverse_image(X1,empty_set)|~function(X1)|~relation(X1)|~empty(X2)),inference(spm,[status(thm)],[925,1374,theory(equality)])).
% cnf(1393,plain,(relation_inverse_image(X1,X2)=empty_set|~empty(X1)),inference(spm,[status(thm)],[776,1374,theory(equality)])).
% cnf(1610,plain,(relation_inverse_image(esk26_0,empty_set)=X1|in(esk25_3(esk26_0,empty_set,X1),X1)),inference(spm,[status(thm)],[776,656,theory(equality)])).
% cnf(2089,plain,(relation_dom_restriction(the_mapping(X2,X1),the_carrier(X3))=the_mapping(X2,X3)|~subnetstr(X3,X2,X1)|~net_str(X1,X2)|~one_sorted_str(X2)),inference(csr,[status(thm)],[671,576])).
% cnf(2093,plain,(apply(the_mapping(X1,X3),X4)=apply(the_mapping(X1,X2),X4)|~function(the_mapping(X1,X2))|~relation(the_mapping(X1,X2))|~in(X4,the_carrier(X3))|~subnetstr(X3,X1,X2)|~net_str(X2,X1)|~one_sorted_str(X1)),inference(spm,[status(thm)],[461,2089,theory(equality)])).
% cnf(2307,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)],[682,576])).
% cnf(2308,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)],[2307,308])).
% cnf(2309,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)],[2308,307])).
% cnf(2523,plain,(in(apply(X1,X2),empty_set)|relation_inverse_image(X4,X5)!=X3|~function(X1)|~relation(X1)|~in(X2,X3)|~empty(X4)),inference(spm,[status(thm)],[378,1387,theory(equality)])).
% cnf(2585,plain,(relation_inverse_image(X4,X5)!=X3|~function(X1)|~relation(X1)|~in(X2,X3)|~empty(X4)),inference(sr,[status(thm)],[2523,776,theory(equality)])).
% fof(2605, plain,(~(epred7_0)<=>![X5]:![X2]:![X3]:![X4]:((~(relation_inverse_image(X4,X5)=X3)|~(in(X2,X3)))|~(empty(X4)))),introduced(definition),['split']).
% cnf(2606,plain,(epred7_0|~empty(X4)|~in(X2,X3)|relation_inverse_image(X4,X5)!=X3),inference(split_equiv,[status(thm)],[2605])).
% cnf(2607,plain,(~epred3_0|~epred7_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[2585,2605,theory(equality)]),1091,theory(equality)]),['split']).
% cnf(2608,plain,($false|~epred7_0),inference(rw,[status(thm)],[2607,1110,theory(equality)])).
% cnf(2609,plain,(~epred7_0),inference(cn,[status(thm)],[2608,theory(equality)])).
% cnf(2610,plain,(~empty(X4)|~in(X2,X3)|relation_inverse_image(X4,X5)!=X3),inference(sr,[status(thm)],[2606,2609,theory(equality)])).
% cnf(2621,plain,(empty_set!=X3|~in(X4,X3)|~empty(X1)),inference(spm,[status(thm)],[2610,1393,theory(equality)])).
% fof(2623, plain,(~(epred8_0)<=>![X3]:![X4]:(~(empty_set=X3)|~(in(X4,X3)))),introduced(definition),['split']).
% cnf(2624,plain,(epred8_0|~in(X4,X3)|empty_set!=X3),inference(split_equiv,[status(thm)],[2623])).
% fof(2625, plain,(~(epred9_0)<=>![X1]:~(empty(X1))),introduced(definition),['split']).
% cnf(2626,plain,(epred9_0|~empty(X1)),inference(split_equiv,[status(thm)],[2625])).
% cnf(2627,plain,(~epred9_0|~epred8_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[2621,2623,theory(equality)]),2625,theory(equality)]),['split']).
% cnf(2634,plain,(epred9_0),inference(spm,[status(thm)],[2626,357,theory(equality)])).
% cnf(2637,plain,($false|~epred8_0),inference(rw,[status(thm)],[2627,2634,theory(equality)])).
% cnf(2638,plain,(~epred8_0),inference(cn,[status(thm)],[2637,theory(equality)])).
% cnf(2640,plain,(~in(X4,X3)|empty_set!=X3),inference(sr,[status(thm)],[2624,2638,theory(equality)])).
% cnf(2664,plain,(empty(X1)|empty_set!=X1|~element(X2,X1)),inference(spm,[status(thm)],[2640,220,theory(equality)])).
% cnf(2673,plain,(empty(X1)|empty_set!=X1),inference(spm,[status(thm)],[2664,179,theory(equality)])).
% cnf(2697,plain,(empty_carrier(X1)|~one_sorted_str(X1)|empty_set!=the_carrier(X1)),inference(spm,[status(thm)],[182,2673,theory(equality)])).
% cnf(2706,negated_conjecture,(the_carrier(esk31_0)!=empty_set|~one_sorted_str(esk31_0)),inference(spm,[status(thm)],[572,2697,theory(equality)])).
% cnf(2719,negated_conjecture,(the_carrier(esk31_0)!=empty_set|$false),inference(rw,[status(thm)],[2706,690,theory(equality)])).
% cnf(2720,negated_conjecture,(the_carrier(esk31_0)!=empty_set),inference(cn,[status(thm)],[2719,theory(equality)])).
% cnf(5612,plain,(relation_inverse_image(the_mapping(X2,X1),X3)=the_carrier(preimage_subnetstr(X2,X1,X3))|~quasi_total(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))|~function(the_mapping(X2,X1))|~net_str(X1,X2)|~one_sorted_str(X2)|~one_sorted_str(X1)),inference(csr,[status(thm)],[1012,576])).
% cnf(5613,plain,(relation_inverse_image(the_mapping(X2,X1),X3)=the_carrier(preimage_subnetstr(X2,X1,X3))|~quasi_total(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))|~net_str(X1,X2)|~one_sorted_str(X2)|~one_sorted_str(X1)),inference(csr,[status(thm)],[5612,308])).
% cnf(5614,plain,(relation_inverse_image(the_mapping(X2,X1),X3)=the_carrier(preimage_subnetstr(X2,X1,X3))|~net_str(X1,X2)|~one_sorted_str(X2)|~one_sorted_str(X1)),inference(csr,[status(thm)],[5613,307])).
% cnf(5641,plain,(~function(the_mapping(X1,X2))|~relation(the_mapping(X1,X2))|~in(X3,the_carrier(preimage_subnetstr(X1,X2,X4)))|~empty(X4)|~net_str(X2,X1)|~one_sorted_str(X1)|~one_sorted_str(X2)),inference(spm,[status(thm)],[926,5614,theory(equality)])).
% cnf(5642,plain,(element(apply(the_mapping(X1,X2),X3),X4)|~function(the_mapping(X1,X2))|~relation(the_mapping(X1,X2))|~in(X3,the_carrier(preimage_subnetstr(X1,X2,X4)))|~net_str(X2,X1)|~one_sorted_str(X1)|~one_sorted_str(X2)),inference(spm,[status(thm)],[927,5614,theory(equality)])).
% cnf(30436,plain,(relation_inverse_image(esk26_0,empty_set)=empty_set),inference(spm,[status(thm)],[776,1610,theory(equality)])).
% cnf(30617,plain,(empty_set=X1|in(esk25_3(esk26_0,empty_set,X1),X1)),inference(rw,[status(thm)],[1610,30436,theory(equality)])).
% cnf(31049,plain,(element(esk25_3(esk26_0,empty_set,X1),X1)|empty_set=X1),inference(spm,[status(thm)],[350,30617,theory(equality)])).
% cnf(74269,plain,(apply(the_mapping(X1,X3),X4)=apply(the_mapping(X1,X2),X4)|~function(the_mapping(X1,X2))|~in(X4,the_carrier(X3))|~subnetstr(X3,X1,X2)|~net_str(X2,X1)|~one_sorted_str(X1)),inference(csr,[status(thm)],[2093,701])).
% cnf(74270,plain,(apply(the_mapping(X1,X3),X4)=apply(the_mapping(X1,X2),X4)|~in(X4,the_carrier(X3))|~subnetstr(X3,X1,X2)|~net_str(X2,X1)|~one_sorted_str(X1)),inference(csr,[status(thm)],[74269,308])).
% cnf(74271,negated_conjecture,(apply(the_mapping(esk28_0,esk31_0),X1)=apply(the_mapping(esk28_0,esk29_0),X1)|~in(X1,the_carrier(esk31_0))|~net_str(esk29_0,esk28_0)|~one_sorted_str(esk28_0)),inference(spm,[status(thm)],[74270,515,theory(equality)])).
% cnf(74276,negated_conjecture,(apply(the_mapping(esk28_0,esk31_0),X1)=apply(the_mapping(esk28_0,esk29_0),X1)|~in(X1,the_carrier(esk31_0))|$false|~one_sorted_str(esk28_0)),inference(rw,[status(thm)],[74271,478,theory(equality)])).
% cnf(74277,negated_conjecture,(apply(the_mapping(esk28_0,esk31_0),X1)=apply(the_mapping(esk28_0,esk29_0),X1)|~in(X1,the_carrier(esk31_0))|$false|$false),inference(rw,[status(thm)],[74276,482,theory(equality)])).
% cnf(74278,negated_conjecture,(apply(the_mapping(esk28_0,esk31_0),X1)=apply(the_mapping(esk28_0,esk29_0),X1)|~in(X1,the_carrier(esk31_0))),inference(cn,[status(thm)],[74277,theory(equality)])).
% cnf(108020,negated_conjecture,(apply(the_mapping(esk28_0,esk29_0),X1)=apply_netmap(esk28_0,esk31_0,X1)|empty_carrier(esk31_0)|empty_carrier(esk28_0)|~element(X1,the_carrier(esk31_0))|~net_str(esk31_0,esk28_0)|~one_sorted_str(esk28_0)|~one_sorted_str(esk31_0)|~in(X1,the_carrier(esk31_0))),inference(spm,[status(thm)],[2309,74278,theory(equality)])).
% cnf(108197,negated_conjecture,(apply(the_mapping(esk28_0,esk29_0),X1)=apply_netmap(esk28_0,esk31_0,X1)|empty_carrier(esk31_0)|empty_carrier(esk28_0)|~element(X1,the_carrier(esk31_0))|$false|~one_sorted_str(esk28_0)|~one_sorted_str(esk31_0)|~in(X1,the_carrier(esk31_0))),inference(rw,[status(thm)],[108020,607,theory(equality)])).
% cnf(108198,negated_conjecture,(apply(the_mapping(esk28_0,esk29_0),X1)=apply_netmap(esk28_0,esk31_0,X1)|empty_carrier(esk31_0)|empty_carrier(esk28_0)|~element(X1,the_carrier(esk31_0))|$false|$false|~one_sorted_str(esk31_0)|~in(X1,the_carrier(esk31_0))),inference(rw,[status(thm)],[108197,482,theory(equality)])).
% cnf(108199,negated_conjecture,(apply(the_mapping(esk28_0,esk29_0),X1)=apply_netmap(esk28_0,esk31_0,X1)|empty_carrier(esk31_0)|empty_carrier(esk28_0)|~element(X1,the_carrier(esk31_0))|$false|$false|$false|~in(X1,the_carrier(esk31_0))),inference(rw,[status(thm)],[108198,690,theory(equality)])).
% cnf(108200,negated_conjecture,(apply(the_mapping(esk28_0,esk29_0),X1)=apply_netmap(esk28_0,esk31_0,X1)|empty_carrier(esk31_0)|empty_carrier(esk28_0)|~element(X1,the_carrier(esk31_0))|~in(X1,the_carrier(esk31_0))),inference(cn,[status(thm)],[108199,theory(equality)])).
% cnf(108201,negated_conjecture,(apply(the_mapping(esk28_0,esk29_0),X1)=apply_netmap(esk28_0,esk31_0,X1)|empty_carrier(esk28_0)|~element(X1,the_carrier(esk31_0))|~in(X1,the_carrier(esk31_0))),inference(sr,[status(thm)],[108200,572,theory(equality)])).
% cnf(108202,negated_conjecture,(apply(the_mapping(esk28_0,esk29_0),X1)=apply_netmap(esk28_0,esk31_0,X1)|~element(X1,the_carrier(esk31_0))|~in(X1,the_carrier(esk31_0))),inference(sr,[status(thm)],[108201,483,theory(equality)])).
% cnf(223851,plain,(~function(the_mapping(X1,X2))|~in(X3,the_carrier(preimage_subnetstr(X1,X2,X4)))|~empty(X4)|~net_str(X2,X1)|~one_sorted_str(X1)|~one_sorted_str(X2)),inference(csr,[status(thm)],[5641,701])).
% cnf(223852,plain,(~in(X3,the_carrier(preimage_subnetstr(X1,X2,X4)))|~empty(X4)|~net_str(X2,X1)|~one_sorted_str(X1)|~one_sorted_str(X2)),inference(csr,[status(thm)],[223851,308])).
% cnf(223853,negated_conjecture,(~in(X1,the_carrier(esk31_0))|~empty(esk30_0)|~net_str(esk29_0,esk28_0)|~one_sorted_str(esk28_0)|~one_sorted_str(esk29_0)),inference(spm,[status(thm)],[223852,476,theory(equality)])).
% cnf(224104,negated_conjecture,(~in(X1,the_carrier(esk31_0))|~empty(esk30_0)|$false|~one_sorted_str(esk28_0)|~one_sorted_str(esk29_0)),inference(rw,[status(thm)],[223853,478,theory(equality)])).
% cnf(224105,negated_conjecture,(~in(X1,the_carrier(esk31_0))|~empty(esk30_0)|$false|$false|~one_sorted_str(esk29_0)),inference(rw,[status(thm)],[224104,482,theory(equality)])).
% cnf(224106,negated_conjecture,(~in(X1,the_carrier(esk31_0))|~empty(esk30_0)|$false|$false|$false),inference(rw,[status(thm)],[224105,689,theory(equality)])).
% cnf(224107,negated_conjecture,(~in(X1,the_carrier(esk31_0))|~empty(esk30_0)),inference(cn,[status(thm)],[224106,theory(equality)])).
% cnf(224122,negated_conjecture,(empty_set=the_carrier(esk31_0)|~empty(esk30_0)),inference(spm,[status(thm)],[224107,30617,theory(equality)])).
% cnf(224304,negated_conjecture,(~empty(esk30_0)),inference(sr,[status(thm)],[224122,2720,theory(equality)])).
% cnf(287285,plain,(element(apply(the_mapping(X1,X2),X3),X4)|~function(the_mapping(X1,X2))|~in(X3,the_carrier(preimage_subnetstr(X1,X2,X4)))|~net_str(X2,X1)|~one_sorted_str(X1)|~one_sorted_str(X2)),inference(csr,[status(thm)],[5642,701])).
% cnf(287286,plain,(element(apply(the_mapping(X1,X2),X3),X4)|~in(X3,the_carrier(preimage_subnetstr(X1,X2,X4)))|~net_str(X2,X1)|~one_sorted_str(X1)|~one_sorted_str(X2)),inference(csr,[status(thm)],[287285,308])).
% cnf(1047662,negated_conjecture,(apply(the_mapping(esk28_0,esk29_0),X1)=apply_netmap(esk28_0,esk31_0,X1)|~in(X1,the_carrier(esk31_0))),inference(csr,[status(thm)],[108202,350])).
% cnf(1047961,negated_conjecture,(element(apply_netmap(esk28_0,esk31_0,X1),X2)|~in(X1,the_carrier(preimage_subnetstr(esk28_0,esk29_0,X2)))|~net_str(esk29_0,esk28_0)|~one_sorted_str(esk28_0)|~one_sorted_str(esk29_0)|~in(X1,the_carrier(esk31_0))),inference(spm,[status(thm)],[287286,1047662,theory(equality)])).
% cnf(1048010,negated_conjecture,(element(apply_netmap(esk28_0,esk31_0,X1),X2)|~in(X1,the_carrier(preimage_subnetstr(esk28_0,esk29_0,X2)))|$false|~one_sorted_str(esk28_0)|~one_sorted_str(esk29_0)|~in(X1,the_carrier(esk31_0))),inference(rw,[status(thm)],[1047961,478,theory(equality)])).
% cnf(1048011,negated_conjecture,(element(apply_netmap(esk28_0,esk31_0,X1),X2)|~in(X1,the_carrier(preimage_subnetstr(esk28_0,esk29_0,X2)))|$false|$false|~one_sorted_str(esk29_0)|~in(X1,the_carrier(esk31_0))),inference(rw,[status(thm)],[1048010,482,theory(equality)])).
% cnf(1048012,negated_conjecture,(element(apply_netmap(esk28_0,esk31_0,X1),X2)|~in(X1,the_carrier(preimage_subnetstr(esk28_0,esk29_0,X2)))|$false|$false|$false|~in(X1,the_carrier(esk31_0))),inference(rw,[status(thm)],[1048011,689,theory(equality)])).
% cnf(1048013,negated_conjecture,(element(apply_netmap(esk28_0,esk31_0,X1),X2)|~in(X1,the_carrier(preimage_subnetstr(esk28_0,esk29_0,X2)))|~in(X1,the_carrier(esk31_0))),inference(cn,[status(thm)],[1048012,theory(equality)])).
% cnf(1048711,negated_conjecture,(element(apply_netmap(esk28_0,esk31_0,X1),esk30_0)|~in(X1,the_carrier(esk31_0))),inference(spm,[status(thm)],[1048013,476,theory(equality)])).
% cnf(1049236,negated_conjecture,(is_eventually_in(esk28_0,esk31_0,esk30_0)|empty(esk30_0)|empty_carrier(esk31_0)|empty_carrier(esk28_0)|~element(X1,the_carrier(esk31_0))|~net_str(esk31_0,esk28_0)|~one_sorted_str(esk28_0)|~in(esk11_4(esk28_0,esk31_0,esk30_0,X1),the_carrier(esk31_0))),inference(spm,[status(thm)],[624,1048711,theory(equality)])).
% cnf(1049239,negated_conjecture,(is_eventually_in(esk28_0,esk31_0,esk30_0)|empty(esk30_0)|empty_carrier(esk31_0)|empty_carrier(esk28_0)|~element(X1,the_carrier(esk31_0))|$false|~one_sorted_str(esk28_0)|~in(esk11_4(esk28_0,esk31_0,esk30_0,X1),the_carrier(esk31_0))),inference(rw,[status(thm)],[1049236,607,theory(equality)])).
% cnf(1049240,negated_conjecture,(is_eventually_in(esk28_0,esk31_0,esk30_0)|empty(esk30_0)|empty_carrier(esk31_0)|empty_carrier(esk28_0)|~element(X1,the_carrier(esk31_0))|$false|$false|~in(esk11_4(esk28_0,esk31_0,esk30_0,X1),the_carrier(esk31_0))),inference(rw,[status(thm)],[1049239,482,theory(equality)])).
% cnf(1049241,negated_conjecture,(is_eventually_in(esk28_0,esk31_0,esk30_0)|empty(esk30_0)|empty_carrier(esk31_0)|empty_carrier(esk28_0)|~element(X1,the_carrier(esk31_0))|~in(esk11_4(esk28_0,esk31_0,esk30_0,X1),the_carrier(esk31_0))),inference(cn,[status(thm)],[1049240,theory(equality)])).
% cnf(1049242,negated_conjecture,(empty(esk30_0)|empty_carrier(esk31_0)|empty_carrier(esk28_0)|~element(X1,the_carrier(esk31_0))|~in(esk11_4(esk28_0,esk31_0,esk30_0,X1),the_carrier(esk31_0))),inference(sr,[status(thm)],[1049241,475,theory(equality)])).
% cnf(1049243,negated_conjecture,(empty_carrier(esk31_0)|empty_carrier(esk28_0)|~element(X1,the_carrier(esk31_0))|~in(esk11_4(esk28_0,esk31_0,esk30_0,X1),the_carrier(esk31_0))),inference(sr,[status(thm)],[1049242,224304,theory(equality)])).
% cnf(1049244,negated_conjecture,(empty_carrier(esk28_0)|~element(X1,the_carrier(esk31_0))|~in(esk11_4(esk28_0,esk31_0,esk30_0,X1),the_carrier(esk31_0))),inference(sr,[status(thm)],[1049243,572,theory(equality)])).
% cnf(1049245,negated_conjecture,(~element(X1,the_carrier(esk31_0))|~in(esk11_4(esk28_0,esk31_0,esk30_0,X1),the_carrier(esk31_0))),inference(sr,[status(thm)],[1049244,483,theory(equality)])).
% cnf(1049246,negated_conjecture,(empty(the_carrier(esk31_0))|~element(X1,the_carrier(esk31_0))|~element(esk11_4(esk28_0,esk31_0,esk30_0,X1),the_carrier(esk31_0))),inference(spm,[status(thm)],[1049245,220,theory(equality)])).
% cnf(1049260,negated_conjecture,(empty(the_carrier(esk31_0))|is_eventually_in(esk28_0,esk31_0,esk30_0)|empty_carrier(esk28_0)|empty_carrier(esk31_0)|~element(X1,the_carrier(esk31_0))|~net_str(esk31_0,esk28_0)|~one_sorted_str(esk28_0)),inference(spm,[status(thm)],[1049246,206,theory(equality)])).
% cnf(1049261,negated_conjecture,(empty(the_carrier(esk31_0))|is_eventually_in(esk28_0,esk31_0,esk30_0)|empty_carrier(esk28_0)|empty_carrier(esk31_0)|~element(X1,the_carrier(esk31_0))|$false|~one_sorted_str(esk28_0)),inference(rw,[status(thm)],[1049260,607,theory(equality)])).
% cnf(1049262,negated_conjecture,(empty(the_carrier(esk31_0))|is_eventually_in(esk28_0,esk31_0,esk30_0)|empty_carrier(esk28_0)|empty_carrier(esk31_0)|~element(X1,the_carrier(esk31_0))|$false|$false),inference(rw,[status(thm)],[1049261,482,theory(equality)])).
% cnf(1049263,negated_conjecture,(empty(the_carrier(esk31_0))|is_eventually_in(esk28_0,esk31_0,esk30_0)|empty_carrier(esk28_0)|empty_carrier(esk31_0)|~element(X1,the_carrier(esk31_0))),inference(cn,[status(thm)],[1049262,theory(equality)])).
% cnf(1049264,negated_conjecture,(empty(the_carrier(esk31_0))|empty_carrier(esk28_0)|empty_carrier(esk31_0)|~element(X1,the_carrier(esk31_0))),inference(sr,[status(thm)],[1049263,475,theory(equality)])).
% cnf(1049265,negated_conjecture,(empty(the_carrier(esk31_0))|empty_carrier(esk31_0)|~element(X1,the_carrier(esk31_0))),inference(sr,[status(thm)],[1049264,483,theory(equality)])).
% cnf(1049266,negated_conjecture,(empty(the_carrier(esk31_0))|~element(X1,the_carrier(esk31_0))),inference(sr,[status(thm)],[1049265,572,theory(equality)])).
% cnf(1049269,negated_conjecture,(empty(the_carrier(esk31_0))|empty_set=the_carrier(esk31_0)),inference(spm,[status(thm)],[1049266,31049,theory(equality)])).
% cnf(1049419,negated_conjecture,(empty(the_carrier(esk31_0))),inference(sr,[status(thm)],[1049269,2720,theory(equality)])).
% cnf(1049499,negated_conjecture,(empty_set=the_carrier(esk31_0)),inference(spm,[status(thm)],[299,1049419,theory(equality)])).
% cnf(1049722,negated_conjecture,($false),inference(sr,[status(thm)],[1049499,2720,theory(equality)])).
% cnf(1049723,negated_conjecture,($false),1049722,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 33410
% # ...of these trivial : 13
% # ...subsumed : 28039
% # ...remaining for further processing: 5358
% # Other redundant clauses eliminated : 8
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 347
% # Backward-rewritten : 369
% # Generated clauses : 574679
% # ...of the previous two non-trivial : 568309
% # Contextual simplify-reflections : 46508
% # Paramodulations : 573699
% # Factorizations : 42
% # Equation resolutions : 352
% # Current number of processed clauses: 4442
% # Positive orientable unit clauses: 264
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 195
% # Non-unit-clauses : 3983
% # Current number of unprocessed clauses: 513746
% # ...number of literals in the above : 4192097
% # Clause-clause subsumption calls (NU) : 7579767
% # Rec. Clause-clause subsumption calls : 1450029
% # Unit Clause-clause subsumption calls : 450815
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 215
% # Indexed BW rewrite successes : 182
% # Backwards rewriting index: 2134 leaves, 2.67+/-6.730 terms/leaf
% # Paramod-from index: 703 leaves, 1.89+/-3.964 terms/leaf
% # Paramod-into index: 1630 leaves, 2.44+/-5.782 terms/leaf
% # -------------------------------------------------
% # User time : 34.905 s
% # System time : 1.023 s
% # Total time : 35.928 s
% # Maximum resident set size: 0 pages
% PrfWatch: 54.73 CPU 56.57 WC
% FINAL PrfWatch: 54.73 CPU 56.57 WC
% SZS output end Solution for /tmp/SystemOnTPTP19448/SEU379+1.tptp
%
%------------------------------------------------------------------------------