TSTP Solution File: SEU360+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU360+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 : art07.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 04:01:30 EST 2010
% Result : Theorem 0.92s
% Output : Solution 0.92s
% 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/SystemOnTPTP14952/SEU360+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP14952/SEU360+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP14952/SEU360+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 15048
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(rel_str(X1)=>(lower_bounded_relstr(X1)<=>?[X2]:(element(X2,the_carrier(X1))&relstr_element_smaller(X1,the_carrier(X1),X2)))),file('/tmp/SRASS.s.p', d4_yellow_0)).
% fof(4, axiom,![X1]:((antisymmetric_relstr(X1)&rel_str(X1))=>![X2]:(ex_sup_of_relstr_set(X1,X2)<=>?[X3]:((element(X3,the_carrier(X1))&relstr_set_smaller(X1,X2,X3))&![X4]:(element(X4,the_carrier(X1))=>(relstr_set_smaller(X1,X2,X4)=>related(X1,X3,X4)))))),file('/tmp/SRASS.s.p', t15_yellow_0)).
% fof(5, axiom,![X1]:((antisymmetric_relstr(X1)&rel_str(X1))=>![X2]:(ex_inf_of_relstr_set(X1,X2)<=>?[X3]:((element(X3,the_carrier(X1))&relstr_element_smaller(X1,X2,X3))&![X4]:(element(X4,the_carrier(X1))=>(relstr_element_smaller(X1,X2,X4)=>related(X1,X4,X3)))))),file('/tmp/SRASS.s.p', t16_yellow_0)).
% fof(6, axiom,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>~(empty(the_carrier(X1)))),file('/tmp/SRASS.s.p', fc1_struct_0)).
% fof(12, axiom,![X1]:(rel_str(X1)=>![X2]:(element(X2,the_carrier(X1))=>(relstr_set_smaller(X1,empty_set,X2)&relstr_element_smaller(X1,empty_set,X2)))),file('/tmp/SRASS.s.p', t6_yellow_0)).
% fof(13, axiom,![X1]:(rel_str(X1)=>one_sorted_str(X1)),file('/tmp/SRASS.s.p', dt_l1_orders_2)).
% fof(15, axiom,![X1]:![X2]:(in(X1,X2)=>element(X1,X2)),file('/tmp/SRASS.s.p', t1_subset)).
% fof(17, axiom,![X1]:(rel_str(X1)=>![X2]:![X3]:(element(X3,the_carrier(X1))=>(relstr_element_smaller(X1,X2,X3)<=>![X4]:(element(X4,the_carrier(X1))=>(in(X4,X2)=>related(X1,X3,X4)))))),file('/tmp/SRASS.s.p', d8_lattice3)).
% fof(19, axiom,![X1]:![X2]:(element(X1,X2)=>(empty(X2)|in(X1,X2))),file('/tmp/SRASS.s.p', t2_subset)).
% fof(27, conjecture,![X1]:((((~(empty_carrier(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&rel_str(X1))=>(ex_sup_of_relstr_set(X1,empty_set)&ex_inf_of_relstr_set(X1,the_carrier(X1)))),file('/tmp/SRASS.s.p', t42_yellow_0)).
% fof(28, negated_conjecture,~(![X1]:((((~(empty_carrier(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&rel_str(X1))=>(ex_sup_of_relstr_set(X1,empty_set)&ex_inf_of_relstr_set(X1,the_carrier(X1))))),inference(assume_negation,[status(cth)],[27])).
% fof(29, plain,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>~(empty(the_carrier(X1)))),inference(fof_simplification,[status(thm)],[6,theory(equality)])).
% fof(34, negated_conjecture,~(![X1]:((((~(empty_carrier(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&rel_str(X1))=>(ex_sup_of_relstr_set(X1,empty_set)&ex_inf_of_relstr_set(X1,the_carrier(X1))))),inference(fof_simplification,[status(thm)],[28,theory(equality)])).
% fof(38, plain,![X1]:(~(rel_str(X1))|((~(lower_bounded_relstr(X1))|?[X2]:(element(X2,the_carrier(X1))&relstr_element_smaller(X1,the_carrier(X1),X2)))&(![X2]:(~(element(X2,the_carrier(X1)))|~(relstr_element_smaller(X1,the_carrier(X1),X2)))|lower_bounded_relstr(X1)))),inference(fof_nnf,[status(thm)],[2])).
% fof(39, plain,![X3]:(~(rel_str(X3))|((~(lower_bounded_relstr(X3))|?[X4]:(element(X4,the_carrier(X3))&relstr_element_smaller(X3,the_carrier(X3),X4)))&(![X5]:(~(element(X5,the_carrier(X3)))|~(relstr_element_smaller(X3,the_carrier(X3),X5)))|lower_bounded_relstr(X3)))),inference(variable_rename,[status(thm)],[38])).
% fof(40, plain,![X3]:(~(rel_str(X3))|((~(lower_bounded_relstr(X3))|(element(esk2_1(X3),the_carrier(X3))&relstr_element_smaller(X3,the_carrier(X3),esk2_1(X3))))&(![X5]:(~(element(X5,the_carrier(X3)))|~(relstr_element_smaller(X3,the_carrier(X3),X5)))|lower_bounded_relstr(X3)))),inference(skolemize,[status(esa)],[39])).
% fof(41, plain,![X3]:![X5]:((((~(element(X5,the_carrier(X3)))|~(relstr_element_smaller(X3,the_carrier(X3),X5)))|lower_bounded_relstr(X3))&(~(lower_bounded_relstr(X3))|(element(esk2_1(X3),the_carrier(X3))&relstr_element_smaller(X3,the_carrier(X3),esk2_1(X3)))))|~(rel_str(X3))),inference(shift_quantors,[status(thm)],[40])).
% fof(42, plain,![X3]:![X5]:((((~(element(X5,the_carrier(X3)))|~(relstr_element_smaller(X3,the_carrier(X3),X5)))|lower_bounded_relstr(X3))|~(rel_str(X3)))&(((element(esk2_1(X3),the_carrier(X3))|~(lower_bounded_relstr(X3)))|~(rel_str(X3)))&((relstr_element_smaller(X3,the_carrier(X3),esk2_1(X3))|~(lower_bounded_relstr(X3)))|~(rel_str(X3))))),inference(distribute,[status(thm)],[41])).
% cnf(43,plain,(relstr_element_smaller(X1,the_carrier(X1),esk2_1(X1))|~rel_str(X1)|~lower_bounded_relstr(X1)),inference(split_conjunct,[status(thm)],[42])).
% cnf(44,plain,(element(esk2_1(X1),the_carrier(X1))|~rel_str(X1)|~lower_bounded_relstr(X1)),inference(split_conjunct,[status(thm)],[42])).
% fof(47, plain,![X1]:((~(antisymmetric_relstr(X1))|~(rel_str(X1)))|![X2]:((~(ex_sup_of_relstr_set(X1,X2))|?[X3]:((element(X3,the_carrier(X1))&relstr_set_smaller(X1,X2,X3))&![X4]:(~(element(X4,the_carrier(X1)))|(~(relstr_set_smaller(X1,X2,X4))|related(X1,X3,X4)))))&(![X3]:((~(element(X3,the_carrier(X1)))|~(relstr_set_smaller(X1,X2,X3)))|?[X4]:(element(X4,the_carrier(X1))&(relstr_set_smaller(X1,X2,X4)&~(related(X1,X3,X4)))))|ex_sup_of_relstr_set(X1,X2)))),inference(fof_nnf,[status(thm)],[4])).
% fof(48, plain,![X5]:((~(antisymmetric_relstr(X5))|~(rel_str(X5)))|![X6]:((~(ex_sup_of_relstr_set(X5,X6))|?[X7]:((element(X7,the_carrier(X5))&relstr_set_smaller(X5,X6,X7))&![X8]:(~(element(X8,the_carrier(X5)))|(~(relstr_set_smaller(X5,X6,X8))|related(X5,X7,X8)))))&(![X9]:((~(element(X9,the_carrier(X5)))|~(relstr_set_smaller(X5,X6,X9)))|?[X10]:(element(X10,the_carrier(X5))&(relstr_set_smaller(X5,X6,X10)&~(related(X5,X9,X10)))))|ex_sup_of_relstr_set(X5,X6)))),inference(variable_rename,[status(thm)],[47])).
% fof(49, plain,![X5]:((~(antisymmetric_relstr(X5))|~(rel_str(X5)))|![X6]:((~(ex_sup_of_relstr_set(X5,X6))|((element(esk3_2(X5,X6),the_carrier(X5))&relstr_set_smaller(X5,X6,esk3_2(X5,X6)))&![X8]:(~(element(X8,the_carrier(X5)))|(~(relstr_set_smaller(X5,X6,X8))|related(X5,esk3_2(X5,X6),X8)))))&(![X9]:((~(element(X9,the_carrier(X5)))|~(relstr_set_smaller(X5,X6,X9)))|(element(esk4_3(X5,X6,X9),the_carrier(X5))&(relstr_set_smaller(X5,X6,esk4_3(X5,X6,X9))&~(related(X5,X9,esk4_3(X5,X6,X9))))))|ex_sup_of_relstr_set(X5,X6)))),inference(skolemize,[status(esa)],[48])).
% fof(50, plain,![X5]:![X6]:![X8]:![X9]:(((((~(element(X9,the_carrier(X5)))|~(relstr_set_smaller(X5,X6,X9)))|(element(esk4_3(X5,X6,X9),the_carrier(X5))&(relstr_set_smaller(X5,X6,esk4_3(X5,X6,X9))&~(related(X5,X9,esk4_3(X5,X6,X9))))))|ex_sup_of_relstr_set(X5,X6))&(((~(element(X8,the_carrier(X5)))|(~(relstr_set_smaller(X5,X6,X8))|related(X5,esk3_2(X5,X6),X8)))&(element(esk3_2(X5,X6),the_carrier(X5))&relstr_set_smaller(X5,X6,esk3_2(X5,X6))))|~(ex_sup_of_relstr_set(X5,X6))))|(~(antisymmetric_relstr(X5))|~(rel_str(X5)))),inference(shift_quantors,[status(thm)],[49])).
% fof(51, plain,![X5]:![X6]:![X8]:![X9]:(((((element(esk4_3(X5,X6,X9),the_carrier(X5))|(~(element(X9,the_carrier(X5)))|~(relstr_set_smaller(X5,X6,X9))))|ex_sup_of_relstr_set(X5,X6))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))&((((relstr_set_smaller(X5,X6,esk4_3(X5,X6,X9))|(~(element(X9,the_carrier(X5)))|~(relstr_set_smaller(X5,X6,X9))))|ex_sup_of_relstr_set(X5,X6))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))&(((~(related(X5,X9,esk4_3(X5,X6,X9)))|(~(element(X9,the_carrier(X5)))|~(relstr_set_smaller(X5,X6,X9))))|ex_sup_of_relstr_set(X5,X6))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))))&((((~(element(X8,the_carrier(X5)))|(~(relstr_set_smaller(X5,X6,X8))|related(X5,esk3_2(X5,X6),X8)))|~(ex_sup_of_relstr_set(X5,X6)))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))&(((element(esk3_2(X5,X6),the_carrier(X5))|~(ex_sup_of_relstr_set(X5,X6)))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))&((relstr_set_smaller(X5,X6,esk3_2(X5,X6))|~(ex_sup_of_relstr_set(X5,X6)))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))))),inference(distribute,[status(thm)],[50])).
% cnf(55,plain,(ex_sup_of_relstr_set(X1,X2)|~rel_str(X1)|~antisymmetric_relstr(X1)|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~related(X1,X3,esk4_3(X1,X2,X3))),inference(split_conjunct,[status(thm)],[51])).
% cnf(57,plain,(ex_sup_of_relstr_set(X1,X2)|element(esk4_3(X1,X2,X3),the_carrier(X1))|~rel_str(X1)|~antisymmetric_relstr(X1)|~relstr_set_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))),inference(split_conjunct,[status(thm)],[51])).
% fof(58, plain,![X1]:((~(antisymmetric_relstr(X1))|~(rel_str(X1)))|![X2]:((~(ex_inf_of_relstr_set(X1,X2))|?[X3]:((element(X3,the_carrier(X1))&relstr_element_smaller(X1,X2,X3))&![X4]:(~(element(X4,the_carrier(X1)))|(~(relstr_element_smaller(X1,X2,X4))|related(X1,X4,X3)))))&(![X3]:((~(element(X3,the_carrier(X1)))|~(relstr_element_smaller(X1,X2,X3)))|?[X4]:(element(X4,the_carrier(X1))&(relstr_element_smaller(X1,X2,X4)&~(related(X1,X4,X3)))))|ex_inf_of_relstr_set(X1,X2)))),inference(fof_nnf,[status(thm)],[5])).
% fof(59, plain,![X5]:((~(antisymmetric_relstr(X5))|~(rel_str(X5)))|![X6]:((~(ex_inf_of_relstr_set(X5,X6))|?[X7]:((element(X7,the_carrier(X5))&relstr_element_smaller(X5,X6,X7))&![X8]:(~(element(X8,the_carrier(X5)))|(~(relstr_element_smaller(X5,X6,X8))|related(X5,X8,X7)))))&(![X9]:((~(element(X9,the_carrier(X5)))|~(relstr_element_smaller(X5,X6,X9)))|?[X10]:(element(X10,the_carrier(X5))&(relstr_element_smaller(X5,X6,X10)&~(related(X5,X10,X9)))))|ex_inf_of_relstr_set(X5,X6)))),inference(variable_rename,[status(thm)],[58])).
% fof(60, plain,![X5]:((~(antisymmetric_relstr(X5))|~(rel_str(X5)))|![X6]:((~(ex_inf_of_relstr_set(X5,X6))|((element(esk5_2(X5,X6),the_carrier(X5))&relstr_element_smaller(X5,X6,esk5_2(X5,X6)))&![X8]:(~(element(X8,the_carrier(X5)))|(~(relstr_element_smaller(X5,X6,X8))|related(X5,X8,esk5_2(X5,X6))))))&(![X9]:((~(element(X9,the_carrier(X5)))|~(relstr_element_smaller(X5,X6,X9)))|(element(esk6_3(X5,X6,X9),the_carrier(X5))&(relstr_element_smaller(X5,X6,esk6_3(X5,X6,X9))&~(related(X5,esk6_3(X5,X6,X9),X9)))))|ex_inf_of_relstr_set(X5,X6)))),inference(skolemize,[status(esa)],[59])).
% fof(61, plain,![X5]:![X6]:![X8]:![X9]:(((((~(element(X9,the_carrier(X5)))|~(relstr_element_smaller(X5,X6,X9)))|(element(esk6_3(X5,X6,X9),the_carrier(X5))&(relstr_element_smaller(X5,X6,esk6_3(X5,X6,X9))&~(related(X5,esk6_3(X5,X6,X9),X9)))))|ex_inf_of_relstr_set(X5,X6))&(((~(element(X8,the_carrier(X5)))|(~(relstr_element_smaller(X5,X6,X8))|related(X5,X8,esk5_2(X5,X6))))&(element(esk5_2(X5,X6),the_carrier(X5))&relstr_element_smaller(X5,X6,esk5_2(X5,X6))))|~(ex_inf_of_relstr_set(X5,X6))))|(~(antisymmetric_relstr(X5))|~(rel_str(X5)))),inference(shift_quantors,[status(thm)],[60])).
% fof(62, plain,![X5]:![X6]:![X8]:![X9]:(((((element(esk6_3(X5,X6,X9),the_carrier(X5))|(~(element(X9,the_carrier(X5)))|~(relstr_element_smaller(X5,X6,X9))))|ex_inf_of_relstr_set(X5,X6))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))&((((relstr_element_smaller(X5,X6,esk6_3(X5,X6,X9))|(~(element(X9,the_carrier(X5)))|~(relstr_element_smaller(X5,X6,X9))))|ex_inf_of_relstr_set(X5,X6))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))&(((~(related(X5,esk6_3(X5,X6,X9),X9))|(~(element(X9,the_carrier(X5)))|~(relstr_element_smaller(X5,X6,X9))))|ex_inf_of_relstr_set(X5,X6))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))))&((((~(element(X8,the_carrier(X5)))|(~(relstr_element_smaller(X5,X6,X8))|related(X5,X8,esk5_2(X5,X6))))|~(ex_inf_of_relstr_set(X5,X6)))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))&(((element(esk5_2(X5,X6),the_carrier(X5))|~(ex_inf_of_relstr_set(X5,X6)))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))&((relstr_element_smaller(X5,X6,esk5_2(X5,X6))|~(ex_inf_of_relstr_set(X5,X6)))|(~(antisymmetric_relstr(X5))|~(rel_str(X5))))))),inference(distribute,[status(thm)],[61])).
% cnf(66,plain,(ex_inf_of_relstr_set(X1,X2)|~rel_str(X1)|~antisymmetric_relstr(X1)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~related(X1,esk6_3(X1,X2,X3),X3)),inference(split_conjunct,[status(thm)],[62])).
% cnf(67,plain,(ex_inf_of_relstr_set(X1,X2)|relstr_element_smaller(X1,X2,esk6_3(X1,X2,X3))|~rel_str(X1)|~antisymmetric_relstr(X1)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))),inference(split_conjunct,[status(thm)],[62])).
% cnf(68,plain,(ex_inf_of_relstr_set(X1,X2)|element(esk6_3(X1,X2,X3),the_carrier(X1))|~rel_str(X1)|~antisymmetric_relstr(X1)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))),inference(split_conjunct,[status(thm)],[62])).
% fof(69, plain,![X1]:((empty_carrier(X1)|~(one_sorted_str(X1)))|~(empty(the_carrier(X1)))),inference(fof_nnf,[status(thm)],[29])).
% fof(70, plain,![X2]:((empty_carrier(X2)|~(one_sorted_str(X2)))|~(empty(the_carrier(X2)))),inference(variable_rename,[status(thm)],[69])).
% cnf(71,plain,(empty_carrier(X1)|~empty(the_carrier(X1))|~one_sorted_str(X1)),inference(split_conjunct,[status(thm)],[70])).
% fof(88, plain,![X1]:(~(rel_str(X1))|![X2]:(~(element(X2,the_carrier(X1)))|(relstr_set_smaller(X1,empty_set,X2)&relstr_element_smaller(X1,empty_set,X2)))),inference(fof_nnf,[status(thm)],[12])).
% fof(89, plain,![X3]:(~(rel_str(X3))|![X4]:(~(element(X4,the_carrier(X3)))|(relstr_set_smaller(X3,empty_set,X4)&relstr_element_smaller(X3,empty_set,X4)))),inference(variable_rename,[status(thm)],[88])).
% fof(90, plain,![X3]:![X4]:((~(element(X4,the_carrier(X3)))|(relstr_set_smaller(X3,empty_set,X4)&relstr_element_smaller(X3,empty_set,X4)))|~(rel_str(X3))),inference(shift_quantors,[status(thm)],[89])).
% fof(91, plain,![X3]:![X4]:(((relstr_set_smaller(X3,empty_set,X4)|~(element(X4,the_carrier(X3))))|~(rel_str(X3)))&((relstr_element_smaller(X3,empty_set,X4)|~(element(X4,the_carrier(X3))))|~(rel_str(X3)))),inference(distribute,[status(thm)],[90])).
% cnf(93,plain,(relstr_set_smaller(X1,empty_set,X2)|~rel_str(X1)|~element(X2,the_carrier(X1))),inference(split_conjunct,[status(thm)],[91])).
% fof(94, plain,![X1]:(~(rel_str(X1))|one_sorted_str(X1)),inference(fof_nnf,[status(thm)],[13])).
% fof(95, plain,![X2]:(~(rel_str(X2))|one_sorted_str(X2)),inference(variable_rename,[status(thm)],[94])).
% cnf(96,plain,(one_sorted_str(X1)|~rel_str(X1)),inference(split_conjunct,[status(thm)],[95])).
% fof(100, plain,![X1]:![X2]:(~(in(X1,X2))|element(X1,X2)),inference(fof_nnf,[status(thm)],[15])).
% fof(101, plain,![X3]:![X4]:(~(in(X3,X4))|element(X3,X4)),inference(variable_rename,[status(thm)],[100])).
% cnf(102,plain,(element(X1,X2)|~in(X1,X2)),inference(split_conjunct,[status(thm)],[101])).
% fof(106, plain,![X1]:(~(rel_str(X1))|![X2]:![X3]:(~(element(X3,the_carrier(X1)))|((~(relstr_element_smaller(X1,X2,X3))|![X4]:(~(element(X4,the_carrier(X1)))|(~(in(X4,X2))|related(X1,X3,X4))))&(?[X4]:(element(X4,the_carrier(X1))&(in(X4,X2)&~(related(X1,X3,X4))))|relstr_element_smaller(X1,X2,X3))))),inference(fof_nnf,[status(thm)],[17])).
% fof(107, plain,![X5]:(~(rel_str(X5))|![X6]:![X7]:(~(element(X7,the_carrier(X5)))|((~(relstr_element_smaller(X5,X6,X7))|![X8]:(~(element(X8,the_carrier(X5)))|(~(in(X8,X6))|related(X5,X7,X8))))&(?[X9]:(element(X9,the_carrier(X5))&(in(X9,X6)&~(related(X5,X7,X9))))|relstr_element_smaller(X5,X6,X7))))),inference(variable_rename,[status(thm)],[106])).
% fof(108, plain,![X5]:(~(rel_str(X5))|![X6]:![X7]:(~(element(X7,the_carrier(X5)))|((~(relstr_element_smaller(X5,X6,X7))|![X8]:(~(element(X8,the_carrier(X5)))|(~(in(X8,X6))|related(X5,X7,X8))))&((element(esk12_3(X5,X6,X7),the_carrier(X5))&(in(esk12_3(X5,X6,X7),X6)&~(related(X5,X7,esk12_3(X5,X6,X7)))))|relstr_element_smaller(X5,X6,X7))))),inference(skolemize,[status(esa)],[107])).
% fof(109, plain,![X5]:![X6]:![X7]:![X8]:(((((~(element(X8,the_carrier(X5)))|(~(in(X8,X6))|related(X5,X7,X8)))|~(relstr_element_smaller(X5,X6,X7)))&((element(esk12_3(X5,X6,X7),the_carrier(X5))&(in(esk12_3(X5,X6,X7),X6)&~(related(X5,X7,esk12_3(X5,X6,X7)))))|relstr_element_smaller(X5,X6,X7)))|~(element(X7,the_carrier(X5))))|~(rel_str(X5))),inference(shift_quantors,[status(thm)],[108])).
% fof(110, plain,![X5]:![X6]:![X7]:![X8]:(((((~(element(X8,the_carrier(X5)))|(~(in(X8,X6))|related(X5,X7,X8)))|~(relstr_element_smaller(X5,X6,X7)))|~(element(X7,the_carrier(X5))))|~(rel_str(X5)))&((((element(esk12_3(X5,X6,X7),the_carrier(X5))|relstr_element_smaller(X5,X6,X7))|~(element(X7,the_carrier(X5))))|~(rel_str(X5)))&((((in(esk12_3(X5,X6,X7),X6)|relstr_element_smaller(X5,X6,X7))|~(element(X7,the_carrier(X5))))|~(rel_str(X5)))&(((~(related(X5,X7,esk12_3(X5,X6,X7)))|relstr_element_smaller(X5,X6,X7))|~(element(X7,the_carrier(X5))))|~(rel_str(X5)))))),inference(distribute,[status(thm)],[109])).
% cnf(114,plain,(related(X1,X2,X4)|~rel_str(X1)|~element(X2,the_carrier(X1))|~relstr_element_smaller(X1,X3,X2)|~in(X4,X3)|~element(X4,the_carrier(X1))),inference(split_conjunct,[status(thm)],[110])).
% fof(118, plain,![X1]:![X2]:(~(element(X1,X2))|(empty(X2)|in(X1,X2))),inference(fof_nnf,[status(thm)],[19])).
% fof(119, plain,![X3]:![X4]:(~(element(X3,X4))|(empty(X4)|in(X3,X4))),inference(variable_rename,[status(thm)],[118])).
% cnf(120,plain,(in(X1,X2)|empty(X2)|~element(X1,X2)),inference(split_conjunct,[status(thm)],[119])).
% fof(135, negated_conjecture,?[X1]:((((~(empty_carrier(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&rel_str(X1))&(~(ex_sup_of_relstr_set(X1,empty_set))|~(ex_inf_of_relstr_set(X1,the_carrier(X1))))),inference(fof_nnf,[status(thm)],[34])).
% fof(136, negated_conjecture,?[X2]:((((~(empty_carrier(X2))&antisymmetric_relstr(X2))&lower_bounded_relstr(X2))&rel_str(X2))&(~(ex_sup_of_relstr_set(X2,empty_set))|~(ex_inf_of_relstr_set(X2,the_carrier(X2))))),inference(variable_rename,[status(thm)],[135])).
% fof(137, negated_conjecture,((((~(empty_carrier(esk14_0))&antisymmetric_relstr(esk14_0))&lower_bounded_relstr(esk14_0))&rel_str(esk14_0))&(~(ex_sup_of_relstr_set(esk14_0,empty_set))|~(ex_inf_of_relstr_set(esk14_0,the_carrier(esk14_0))))),inference(skolemize,[status(esa)],[136])).
% cnf(138,negated_conjecture,(~ex_inf_of_relstr_set(esk14_0,the_carrier(esk14_0))|~ex_sup_of_relstr_set(esk14_0,empty_set)),inference(split_conjunct,[status(thm)],[137])).
% cnf(139,negated_conjecture,(rel_str(esk14_0)),inference(split_conjunct,[status(thm)],[137])).
% cnf(140,negated_conjecture,(lower_bounded_relstr(esk14_0)),inference(split_conjunct,[status(thm)],[137])).
% cnf(141,negated_conjecture,(antisymmetric_relstr(esk14_0)),inference(split_conjunct,[status(thm)],[137])).
% cnf(142,negated_conjecture,(~empty_carrier(esk14_0)),inference(split_conjunct,[status(thm)],[137])).
% cnf(146,negated_conjecture,(~one_sorted_str(esk14_0)|~empty(the_carrier(esk14_0))),inference(spm,[status(thm)],[142,71,theory(equality)])).
% cnf(159,plain,(related(X1,esk2_1(X1),X2)|~in(X2,the_carrier(X1))|~element(X2,the_carrier(X1))|~element(esk2_1(X1),the_carrier(X1))|~rel_str(X1)|~lower_bounded_relstr(X1)),inference(spm,[status(thm)],[114,43,theory(equality)])).
% cnf(165,plain,(related(X1,esk6_3(X1,X2,X3),X4)|ex_inf_of_relstr_set(X1,X2)|~in(X4,X2)|~element(X4,the_carrier(X1))|~element(esk6_3(X1,X2,X3),the_carrier(X1))|~rel_str(X1)|~antisymmetric_relstr(X1)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))),inference(spm,[status(thm)],[114,67,theory(equality)])).
% cnf(167,negated_conjecture,(~empty(the_carrier(esk14_0))|~rel_str(esk14_0)),inference(spm,[status(thm)],[146,96,theory(equality)])).
% cnf(168,negated_conjecture,(~empty(the_carrier(esk14_0))|$false),inference(rw,[status(thm)],[167,139,theory(equality)])).
% cnf(169,negated_conjecture,(~empty(the_carrier(esk14_0))),inference(cn,[status(thm)],[168,theory(equality)])).
% cnf(194,plain,(related(X1,esk2_1(X1),X2)|~in(X2,the_carrier(X1))|~element(X2,the_carrier(X1))|~lower_bounded_relstr(X1)|~rel_str(X1)),inference(csr,[status(thm)],[159,44])).
% cnf(195,plain,(related(X1,esk2_1(X1),X2)|~in(X2,the_carrier(X1))|~lower_bounded_relstr(X1)|~rel_str(X1)),inference(csr,[status(thm)],[194,102])).
% cnf(196,plain,(ex_sup_of_relstr_set(X1,X2)|~relstr_set_smaller(X1,X2,esk2_1(X1))|~antisymmetric_relstr(X1)|~element(esk2_1(X1),the_carrier(X1))|~rel_str(X1)|~in(esk4_3(X1,X2,esk2_1(X1)),the_carrier(X1))|~lower_bounded_relstr(X1)),inference(spm,[status(thm)],[55,195,theory(equality)])).
% cnf(260,plain,(ex_inf_of_relstr_set(X1,X2)|related(X1,esk6_3(X1,X2,X3),X4)|~in(X4,X2)|~antisymmetric_relstr(X1)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X4,the_carrier(X1))|~rel_str(X1)),inference(csr,[status(thm)],[165,68])).
% cnf(263,plain,(ex_inf_of_relstr_set(X1,X2)|~antisymmetric_relstr(X1)|~relstr_element_smaller(X1,X2,X3)|~element(X3,the_carrier(X1))|~rel_str(X1)|~in(X3,X2)),inference(spm,[status(thm)],[66,260,theory(equality)])).
% cnf(265,plain,(ex_inf_of_relstr_set(X1,the_carrier(X1))|~in(esk2_1(X1),the_carrier(X1))|~antisymmetric_relstr(X1)|~element(esk2_1(X1),the_carrier(X1))|~rel_str(X1)|~lower_bounded_relstr(X1)),inference(spm,[status(thm)],[263,43,theory(equality)])).
% cnf(291,plain,(ex_inf_of_relstr_set(X1,the_carrier(X1))|~in(esk2_1(X1),the_carrier(X1))|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1)),inference(csr,[status(thm)],[265,102])).
% cnf(292,plain,(ex_inf_of_relstr_set(X1,the_carrier(X1))|empty(the_carrier(X1))|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1)|~element(esk2_1(X1),the_carrier(X1))),inference(spm,[status(thm)],[291,120,theory(equality)])).
% cnf(293,plain,(ex_inf_of_relstr_set(X1,the_carrier(X1))|empty(the_carrier(X1))|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1)),inference(csr,[status(thm)],[292,44])).
% cnf(294,negated_conjecture,(ex_inf_of_relstr_set(esk14_0,the_carrier(esk14_0))|empty(the_carrier(esk14_0))|~antisymmetric_relstr(esk14_0)|~rel_str(esk14_0)),inference(spm,[status(thm)],[293,140,theory(equality)])).
% cnf(297,negated_conjecture,(ex_inf_of_relstr_set(esk14_0,the_carrier(esk14_0))|empty(the_carrier(esk14_0))|$false|~rel_str(esk14_0)),inference(rw,[status(thm)],[294,141,theory(equality)])).
% cnf(298,negated_conjecture,(ex_inf_of_relstr_set(esk14_0,the_carrier(esk14_0))|empty(the_carrier(esk14_0))|$false|$false),inference(rw,[status(thm)],[297,139,theory(equality)])).
% cnf(299,negated_conjecture,(ex_inf_of_relstr_set(esk14_0,the_carrier(esk14_0))|empty(the_carrier(esk14_0))),inference(cn,[status(thm)],[298,theory(equality)])).
% cnf(300,negated_conjecture,(ex_inf_of_relstr_set(esk14_0,the_carrier(esk14_0))),inference(sr,[status(thm)],[299,169,theory(equality)])).
% cnf(304,negated_conjecture,($false|~ex_sup_of_relstr_set(esk14_0,empty_set)),inference(rw,[status(thm)],[138,300,theory(equality)])).
% cnf(305,negated_conjecture,(~ex_sup_of_relstr_set(esk14_0,empty_set)),inference(cn,[status(thm)],[304,theory(equality)])).
% cnf(338,plain,(ex_sup_of_relstr_set(X1,X2)|~in(esk4_3(X1,X2,esk2_1(X1)),the_carrier(X1))|~relstr_set_smaller(X1,X2,esk2_1(X1))|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1)),inference(csr,[status(thm)],[196,44])).
% cnf(339,plain,(ex_sup_of_relstr_set(X1,X2)|empty(the_carrier(X1))|~relstr_set_smaller(X1,X2,esk2_1(X1))|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1)|~element(esk4_3(X1,X2,esk2_1(X1)),the_carrier(X1))),inference(spm,[status(thm)],[338,120,theory(equality)])).
% cnf(340,plain,(ex_sup_of_relstr_set(X1,X2)|empty(the_carrier(X1))|~relstr_set_smaller(X1,X2,esk2_1(X1))|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1)|~element(esk2_1(X1),the_carrier(X1))),inference(spm,[status(thm)],[339,57,theory(equality)])).
% cnf(341,plain,(ex_sup_of_relstr_set(X1,X2)|empty(the_carrier(X1))|~relstr_set_smaller(X1,X2,esk2_1(X1))|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1)),inference(csr,[status(thm)],[340,44])).
% cnf(342,plain,(ex_sup_of_relstr_set(X1,empty_set)|empty(the_carrier(X1))|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1)|~element(esk2_1(X1),the_carrier(X1))),inference(spm,[status(thm)],[341,93,theory(equality)])).
% cnf(343,plain,(ex_sup_of_relstr_set(X1,empty_set)|empty(the_carrier(X1))|~antisymmetric_relstr(X1)|~lower_bounded_relstr(X1)|~rel_str(X1)),inference(csr,[status(thm)],[342,44])).
% cnf(344,negated_conjecture,(ex_sup_of_relstr_set(esk14_0,empty_set)|empty(the_carrier(esk14_0))|~antisymmetric_relstr(esk14_0)|~rel_str(esk14_0)),inference(spm,[status(thm)],[343,140,theory(equality)])).
% cnf(347,negated_conjecture,(ex_sup_of_relstr_set(esk14_0,empty_set)|empty(the_carrier(esk14_0))|$false|~rel_str(esk14_0)),inference(rw,[status(thm)],[344,141,theory(equality)])).
% cnf(348,negated_conjecture,(ex_sup_of_relstr_set(esk14_0,empty_set)|empty(the_carrier(esk14_0))|$false|$false),inference(rw,[status(thm)],[347,139,theory(equality)])).
% cnf(349,negated_conjecture,(ex_sup_of_relstr_set(esk14_0,empty_set)|empty(the_carrier(esk14_0))),inference(cn,[status(thm)],[348,theory(equality)])).
% cnf(350,negated_conjecture,(empty(the_carrier(esk14_0))),inference(sr,[status(thm)],[349,305,theory(equality)])).
% cnf(351,negated_conjecture,($false),inference(sr,[status(thm)],[350,169,theory(equality)])).
% cnf(352,negated_conjecture,($false),351,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 123
% # ...of these trivial : 0
% # ...subsumed : 14
% # ...remaining for further processing: 109
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 8
% # Backward-rewritten : 2
% # Generated clauses : 125
% # ...of the previous two non-trivial : 97
% # Contextual simplify-reflections : 49
% # Paramodulations : 125
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 99
% # Positive orientable unit clauses: 11
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 7
% # Non-unit-clauses : 81
% # Current number of unprocessed clauses: 11
% # ...number of literals in the above : 85
% # Clause-clause subsumption calls (NU) : 263
% # Rec. Clause-clause subsumption calls : 142
% # Unit Clause-clause subsumption calls : 8
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 2
% # Indexed BW rewrite successes : 2
% # Backwards rewriting index: 102 leaves, 1.40+/-1.338 terms/leaf
% # Paramod-from index: 35 leaves, 1.17+/-0.696 terms/leaf
% # Paramod-into index: 90 leaves, 1.30+/-1.080 terms/leaf
% # -------------------------------------------------
% # User time : 0.026 s
% # System time : 0.004 s
% # Total time : 0.030 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.11 CPU 0.20 WC
% FINAL PrfWatch: 0.11 CPU 0.20 WC
% SZS output end Solution for /tmp/SystemOnTPTP14952/SEU360+1.tptp
%
%------------------------------------------------------------------------------