TSTP Solution File: SEU369+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU369+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 04:10:05 EST 2010
% Result : Theorem 1.57s
% Output : Solution 1.57s
% 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/SystemOnTPTP21624/SEU369+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP21624/SEU369+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP21624/SEU369+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 21720
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.034 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(4, axiom,![X1]:![X2]:(element(X2,the_carrier(boole_lattice(X1)))=>![X3]:(element(X3,the_carrier(boole_lattice(X1)))=>(below(boole_lattice(X1),X2,X3)<=>subset(X2,X3)))),file('/tmp/SRASS.s.p', t2_lattice3)).
% fof(11, axiom,![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>(below_refl(X1,X2,X3)<=>related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3)))))),file('/tmp/SRASS.s.p', t7_lattice3)).
% fof(23, axiom,![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>cast_to_el_of_LattPOSet(X1,X2)=X2)),file('/tmp/SRASS.s.p', d3_lattice3)).
% fof(26, axiom,![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>poset_of_lattice(X1)=rel_str_of(the_carrier(X1),k2_lattice3(X1))),file('/tmp/SRASS.s.p', d2_lattice3)).
% fof(28, axiom,![X1]:boole_POSet(X1)=poset_of_lattice(boole_lattice(X1)),file('/tmp/SRASS.s.p', d2_yellow_1)).
% fof(43, axiom,![X1]:(rel_str(X1)=>relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))),file('/tmp/SRASS.s.p', dt_u1_orders_2)).
% fof(44, axiom,![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>((((~(empty_carrier(poset_of_lattice(X1)))&strict_rel_str(poset_of_lattice(X1)))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))),file('/tmp/SRASS.s.p', fc4_lattice3)).
% fof(50, axiom,![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>((((strict_rel_str(poset_of_lattice(X1))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))&rel_str(poset_of_lattice(X1)))),file('/tmp/SRASS.s.p', dt_k3_lattice3)).
% fof(54, axiom,![X1]:(~(empty_carrier(boole_lattice(X1)))&strict_latt_str(boole_lattice(X1))),file('/tmp/SRASS.s.p', fc1_lattice3)).
% fof(57, axiom,![X1]:(strict_latt_str(boole_lattice(X1))&latt_str(boole_lattice(X1))),file('/tmp/SRASS.s.p', dt_k1_lattice3)).
% fof(64, axiom,![X1]:![X2]:![X3]:(((((((~(empty_carrier(X1))&meet_commutative(X1))&meet_absorbing(X1))&join_absorbing(X1))&latt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>(below_refl(X1,X2,X3)<=>below(X1,X2,X3))),file('/tmp/SRASS.s.p', redefinition_r3_lattices)).
% fof(69, 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(70, axiom,![X1]:(rel_str(X1)=>(strict_rel_str(X1)=>X1=rel_str_of(the_carrier(X1),the_InternalRel(X1)))),file('/tmp/SRASS.s.p', abstractness_v1_orders_2)).
% fof(77, axiom,![X1]:((((((((((((((((~(empty_carrier(boole_lattice(X1)))&strict_latt_str(boole_lattice(X1)))&join_commutative(boole_lattice(X1)))&join_associative(boole_lattice(X1)))&meet_commutative(boole_lattice(X1)))&meet_associative(boole_lattice(X1)))&meet_absorbing(boole_lattice(X1)))&join_absorbing(boole_lattice(X1)))&lattice(boole_lattice(X1)))&distributive_lattstr(boole_lattice(X1)))&modular_lattstr(boole_lattice(X1)))&lower_bounded_semilattstr(boole_lattice(X1)))&upper_bounded_semilattstr(boole_lattice(X1)))&bounded_lattstr(boole_lattice(X1)))&complemented_lattstr(boole_lattice(X1)))&boolean_lattstr(boole_lattice(X1)))&complete_latt_str(boole_lattice(X1))),file('/tmp/SRASS.s.p', fc1_knaster)).
% fof(80, axiom,![X1]:![X2]:(relation_of2(X2,X1,X1)=>![X3]:![X4]:(rel_str_of(X1,X2)=rel_str_of(X3,X4)=>(X1=X3&X2=X4))),file('/tmp/SRASS.s.p', free_g1_orders_2)).
% fof(121, conjecture,![X1]:![X2]:(element(X2,the_carrier(boole_POSet(X1)))=>![X3]:(element(X3,the_carrier(boole_POSet(X1)))=>(related_reflexive(boole_POSet(X1),X2,X3)<=>subset(X2,X3)))),file('/tmp/SRASS.s.p', t2_yellow_1)).
% fof(122, negated_conjecture,~(![X1]:![X2]:(element(X2,the_carrier(boole_POSet(X1)))=>![X3]:(element(X3,the_carrier(boole_POSet(X1)))=>(related_reflexive(boole_POSet(X1),X2,X3)<=>subset(X2,X3))))),inference(assume_negation,[status(cth)],[121])).
% fof(125, plain,![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>(below_refl(X1,X2,X3)<=>related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3)))))),inference(fof_simplification,[status(thm)],[11,theory(equality)])).
% fof(132, plain,![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>cast_to_el_of_LattPOSet(X1,X2)=X2)),inference(fof_simplification,[status(thm)],[23,theory(equality)])).
% fof(135, plain,![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>poset_of_lattice(X1)=rel_str_of(the_carrier(X1),k2_lattice3(X1))),inference(fof_simplification,[status(thm)],[26,theory(equality)])).
% fof(139, plain,![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>((((~(empty_carrier(poset_of_lattice(X1)))&strict_rel_str(poset_of_lattice(X1)))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))),inference(fof_simplification,[status(thm)],[44,theory(equality)])).
% fof(143, plain,![X1]:(((~(empty_carrier(X1))&lattice(X1))&latt_str(X1))=>((((strict_rel_str(poset_of_lattice(X1))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))&rel_str(poset_of_lattice(X1)))),inference(fof_simplification,[status(thm)],[50,theory(equality)])).
% fof(146, plain,![X1]:(~(empty_carrier(boole_lattice(X1)))&strict_latt_str(boole_lattice(X1))),inference(fof_simplification,[status(thm)],[54,theory(equality)])).
% fof(155, plain,![X1]:![X2]:![X3]:(((((((~(empty_carrier(X1))&meet_commutative(X1))&meet_absorbing(X1))&join_absorbing(X1))&latt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>(below_refl(X1,X2,X3)<=>below(X1,X2,X3))),inference(fof_simplification,[status(thm)],[64,theory(equality)])).
% fof(162, plain,![X1]:((((((((((((((((~(empty_carrier(boole_lattice(X1)))&strict_latt_str(boole_lattice(X1)))&join_commutative(boole_lattice(X1)))&join_associative(boole_lattice(X1)))&meet_commutative(boole_lattice(X1)))&meet_associative(boole_lattice(X1)))&meet_absorbing(boole_lattice(X1)))&join_absorbing(boole_lattice(X1)))&lattice(boole_lattice(X1)))&distributive_lattstr(boole_lattice(X1)))&modular_lattstr(boole_lattice(X1)))&lower_bounded_semilattstr(boole_lattice(X1)))&upper_bounded_semilattstr(boole_lattice(X1)))&bounded_lattstr(boole_lattice(X1)))&complemented_lattstr(boole_lattice(X1)))&boolean_lattstr(boole_lattice(X1)))&complete_latt_str(boole_lattice(X1))),inference(fof_simplification,[status(thm)],[77,theory(equality)])).
% fof(192, plain,![X1]:![X2]:(~(element(X2,the_carrier(boole_lattice(X1))))|![X3]:(~(element(X3,the_carrier(boole_lattice(X1))))|((~(below(boole_lattice(X1),X2,X3))|subset(X2,X3))&(~(subset(X2,X3))|below(boole_lattice(X1),X2,X3))))),inference(fof_nnf,[status(thm)],[4])).
% fof(193, plain,![X4]:![X5]:(~(element(X5,the_carrier(boole_lattice(X4))))|![X6]:(~(element(X6,the_carrier(boole_lattice(X4))))|((~(below(boole_lattice(X4),X5,X6))|subset(X5,X6))&(~(subset(X5,X6))|below(boole_lattice(X4),X5,X6))))),inference(variable_rename,[status(thm)],[192])).
% fof(194, plain,![X4]:![X5]:![X6]:((~(element(X6,the_carrier(boole_lattice(X4))))|((~(below(boole_lattice(X4),X5,X6))|subset(X5,X6))&(~(subset(X5,X6))|below(boole_lattice(X4),X5,X6))))|~(element(X5,the_carrier(boole_lattice(X4))))),inference(shift_quantors,[status(thm)],[193])).
% fof(195, plain,![X4]:![X5]:![X6]:((((~(below(boole_lattice(X4),X5,X6))|subset(X5,X6))|~(element(X6,the_carrier(boole_lattice(X4)))))|~(element(X5,the_carrier(boole_lattice(X4)))))&(((~(subset(X5,X6))|below(boole_lattice(X4),X5,X6))|~(element(X6,the_carrier(boole_lattice(X4)))))|~(element(X5,the_carrier(boole_lattice(X4)))))),inference(distribute,[status(thm)],[194])).
% cnf(196,plain,(below(boole_lattice(X2),X1,X3)|~element(X1,the_carrier(boole_lattice(X2)))|~element(X3,the_carrier(boole_lattice(X2)))|~subset(X1,X3)),inference(split_conjunct,[status(thm)],[195])).
% cnf(197,plain,(subset(X1,X3)|~element(X1,the_carrier(boole_lattice(X2)))|~element(X3,the_carrier(boole_lattice(X2)))|~below(boole_lattice(X2),X1,X3)),inference(split_conjunct,[status(thm)],[195])).
% fof(218, plain,![X1]:(((empty_carrier(X1)|~(lattice(X1)))|~(latt_str(X1)))|![X2]:(~(element(X2,the_carrier(X1)))|![X3]:(~(element(X3,the_carrier(X1)))|((~(below_refl(X1,X2,X3))|related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3)))&(~(related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3)))|below_refl(X1,X2,X3)))))),inference(fof_nnf,[status(thm)],[125])).
% fof(219, plain,![X4]:(((empty_carrier(X4)|~(lattice(X4)))|~(latt_str(X4)))|![X5]:(~(element(X5,the_carrier(X4)))|![X6]:(~(element(X6,the_carrier(X4)))|((~(below_refl(X4,X5,X6))|related_reflexive(poset_of_lattice(X4),cast_to_el_of_LattPOSet(X4,X5),cast_to_el_of_LattPOSet(X4,X6)))&(~(related_reflexive(poset_of_lattice(X4),cast_to_el_of_LattPOSet(X4,X5),cast_to_el_of_LattPOSet(X4,X6)))|below_refl(X4,X5,X6)))))),inference(variable_rename,[status(thm)],[218])).
% fof(220, plain,![X4]:![X5]:![X6]:(((~(element(X6,the_carrier(X4)))|((~(below_refl(X4,X5,X6))|related_reflexive(poset_of_lattice(X4),cast_to_el_of_LattPOSet(X4,X5),cast_to_el_of_LattPOSet(X4,X6)))&(~(related_reflexive(poset_of_lattice(X4),cast_to_el_of_LattPOSet(X4,X5),cast_to_el_of_LattPOSet(X4,X6)))|below_refl(X4,X5,X6))))|~(element(X5,the_carrier(X4))))|((empty_carrier(X4)|~(lattice(X4)))|~(latt_str(X4)))),inference(shift_quantors,[status(thm)],[219])).
% fof(221, plain,![X4]:![X5]:![X6]:(((((~(below_refl(X4,X5,X6))|related_reflexive(poset_of_lattice(X4),cast_to_el_of_LattPOSet(X4,X5),cast_to_el_of_LattPOSet(X4,X6)))|~(element(X6,the_carrier(X4))))|~(element(X5,the_carrier(X4))))|((empty_carrier(X4)|~(lattice(X4)))|~(latt_str(X4))))&((((~(related_reflexive(poset_of_lattice(X4),cast_to_el_of_LattPOSet(X4,X5),cast_to_el_of_LattPOSet(X4,X6)))|below_refl(X4,X5,X6))|~(element(X6,the_carrier(X4))))|~(element(X5,the_carrier(X4))))|((empty_carrier(X4)|~(lattice(X4)))|~(latt_str(X4))))),inference(distribute,[status(thm)],[220])).
% cnf(222,plain,(empty_carrier(X1)|below_refl(X1,X2,X3)|~latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))),inference(split_conjunct,[status(thm)],[221])).
% cnf(223,plain,(empty_carrier(X1)|related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))|~latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~below_refl(X1,X2,X3)),inference(split_conjunct,[status(thm)],[221])).
% fof(264, plain,![X1]:(((empty_carrier(X1)|~(lattice(X1)))|~(latt_str(X1)))|![X2]:(~(element(X2,the_carrier(X1)))|cast_to_el_of_LattPOSet(X1,X2)=X2)),inference(fof_nnf,[status(thm)],[132])).
% fof(265, plain,![X3]:(((empty_carrier(X3)|~(lattice(X3)))|~(latt_str(X3)))|![X4]:(~(element(X4,the_carrier(X3)))|cast_to_el_of_LattPOSet(X3,X4)=X4)),inference(variable_rename,[status(thm)],[264])).
% fof(266, plain,![X3]:![X4]:((~(element(X4,the_carrier(X3)))|cast_to_el_of_LattPOSet(X3,X4)=X4)|((empty_carrier(X3)|~(lattice(X3)))|~(latt_str(X3)))),inference(shift_quantors,[status(thm)],[265])).
% cnf(267,plain,(empty_carrier(X1)|cast_to_el_of_LattPOSet(X1,X2)=X2|~latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))),inference(split_conjunct,[status(thm)],[266])).
% fof(276, plain,![X1]:(((empty_carrier(X1)|~(lattice(X1)))|~(latt_str(X1)))|poset_of_lattice(X1)=rel_str_of(the_carrier(X1),k2_lattice3(X1))),inference(fof_nnf,[status(thm)],[135])).
% fof(277, plain,![X2]:(((empty_carrier(X2)|~(lattice(X2)))|~(latt_str(X2)))|poset_of_lattice(X2)=rel_str_of(the_carrier(X2),k2_lattice3(X2))),inference(variable_rename,[status(thm)],[276])).
% cnf(278,plain,(poset_of_lattice(X1)=rel_str_of(the_carrier(X1),k2_lattice3(X1))|empty_carrier(X1)|~latt_str(X1)|~lattice(X1)),inference(split_conjunct,[status(thm)],[277])).
% fof(285, plain,![X2]:boole_POSet(X2)=poset_of_lattice(boole_lattice(X2)),inference(variable_rename,[status(thm)],[28])).
% cnf(286,plain,(boole_POSet(X1)=poset_of_lattice(boole_lattice(X1))),inference(split_conjunct,[status(thm)],[285])).
% fof(330, plain,![X1]:(~(rel_str(X1))|relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))),inference(fof_nnf,[status(thm)],[43])).
% fof(331, plain,![X2]:(~(rel_str(X2))|relation_of2_as_subset(the_InternalRel(X2),the_carrier(X2),the_carrier(X2))),inference(variable_rename,[status(thm)],[330])).
% cnf(332,plain,(relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1)),inference(split_conjunct,[status(thm)],[331])).
% fof(333, plain,![X1]:(((empty_carrier(X1)|~(lattice(X1)))|~(latt_str(X1)))|((((~(empty_carrier(poset_of_lattice(X1)))&strict_rel_str(poset_of_lattice(X1)))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))),inference(fof_nnf,[status(thm)],[139])).
% fof(334, plain,![X2]:(((empty_carrier(X2)|~(lattice(X2)))|~(latt_str(X2)))|((((~(empty_carrier(poset_of_lattice(X2)))&strict_rel_str(poset_of_lattice(X2)))&reflexive_relstr(poset_of_lattice(X2)))&transitive_relstr(poset_of_lattice(X2)))&antisymmetric_relstr(poset_of_lattice(X2)))),inference(variable_rename,[status(thm)],[333])).
% fof(335, plain,![X2]:(((((~(empty_carrier(poset_of_lattice(X2)))|((empty_carrier(X2)|~(lattice(X2)))|~(latt_str(X2))))&(strict_rel_str(poset_of_lattice(X2))|((empty_carrier(X2)|~(lattice(X2)))|~(latt_str(X2)))))&(reflexive_relstr(poset_of_lattice(X2))|((empty_carrier(X2)|~(lattice(X2)))|~(latt_str(X2)))))&(transitive_relstr(poset_of_lattice(X2))|((empty_carrier(X2)|~(lattice(X2)))|~(latt_str(X2)))))&(antisymmetric_relstr(poset_of_lattice(X2))|((empty_carrier(X2)|~(lattice(X2)))|~(latt_str(X2))))),inference(distribute,[status(thm)],[334])).
% cnf(339,plain,(empty_carrier(X1)|strict_rel_str(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)),inference(split_conjunct,[status(thm)],[335])).
% fof(364, plain,![X1]:(((empty_carrier(X1)|~(lattice(X1)))|~(latt_str(X1)))|((((strict_rel_str(poset_of_lattice(X1))&reflexive_relstr(poset_of_lattice(X1)))&transitive_relstr(poset_of_lattice(X1)))&antisymmetric_relstr(poset_of_lattice(X1)))&rel_str(poset_of_lattice(X1)))),inference(fof_nnf,[status(thm)],[143])).
% fof(365, plain,![X2]:(((empty_carrier(X2)|~(lattice(X2)))|~(latt_str(X2)))|((((strict_rel_str(poset_of_lattice(X2))&reflexive_relstr(poset_of_lattice(X2)))&transitive_relstr(poset_of_lattice(X2)))&antisymmetric_relstr(poset_of_lattice(X2)))&rel_str(poset_of_lattice(X2)))),inference(variable_rename,[status(thm)],[364])).
% fof(366, plain,![X2]:(((((strict_rel_str(poset_of_lattice(X2))|((empty_carrier(X2)|~(lattice(X2)))|~(latt_str(X2))))&(reflexive_relstr(poset_of_lattice(X2))|((empty_carrier(X2)|~(lattice(X2)))|~(latt_str(X2)))))&(transitive_relstr(poset_of_lattice(X2))|((empty_carrier(X2)|~(lattice(X2)))|~(latt_str(X2)))))&(antisymmetric_relstr(poset_of_lattice(X2))|((empty_carrier(X2)|~(lattice(X2)))|~(latt_str(X2)))))&(rel_str(poset_of_lattice(X2))|((empty_carrier(X2)|~(lattice(X2)))|~(latt_str(X2))))),inference(distribute,[status(thm)],[365])).
% cnf(367,plain,(empty_carrier(X1)|rel_str(poset_of_lattice(X1))|~latt_str(X1)|~lattice(X1)),inference(split_conjunct,[status(thm)],[366])).
% fof(389, plain,![X2]:(~(empty_carrier(boole_lattice(X2)))&strict_latt_str(boole_lattice(X2))),inference(variable_rename,[status(thm)],[146])).
% cnf(391,plain,(~empty_carrier(boole_lattice(X1))),inference(split_conjunct,[status(thm)],[389])).
% fof(409, plain,![X2]:(strict_latt_str(boole_lattice(X2))&latt_str(boole_lattice(X2))),inference(variable_rename,[status(thm)],[57])).
% cnf(410,plain,(latt_str(boole_lattice(X1))),inference(split_conjunct,[status(thm)],[409])).
% fof(459, plain,![X1]:![X2]:![X3]:(((((((empty_carrier(X1)|~(meet_commutative(X1)))|~(meet_absorbing(X1)))|~(join_absorbing(X1)))|~(latt_str(X1)))|~(element(X2,the_carrier(X1))))|~(element(X3,the_carrier(X1))))|((~(below_refl(X1,X2,X3))|below(X1,X2,X3))&(~(below(X1,X2,X3))|below_refl(X1,X2,X3)))),inference(fof_nnf,[status(thm)],[155])).
% fof(460, plain,![X4]:![X5]:![X6]:(((((((empty_carrier(X4)|~(meet_commutative(X4)))|~(meet_absorbing(X4)))|~(join_absorbing(X4)))|~(latt_str(X4)))|~(element(X5,the_carrier(X4))))|~(element(X6,the_carrier(X4))))|((~(below_refl(X4,X5,X6))|below(X4,X5,X6))&(~(below(X4,X5,X6))|below_refl(X4,X5,X6)))),inference(variable_rename,[status(thm)],[459])).
% fof(461, plain,![X4]:![X5]:![X6]:(((~(below_refl(X4,X5,X6))|below(X4,X5,X6))|((((((empty_carrier(X4)|~(meet_commutative(X4)))|~(meet_absorbing(X4)))|~(join_absorbing(X4)))|~(latt_str(X4)))|~(element(X5,the_carrier(X4))))|~(element(X6,the_carrier(X4)))))&((~(below(X4,X5,X6))|below_refl(X4,X5,X6))|((((((empty_carrier(X4)|~(meet_commutative(X4)))|~(meet_absorbing(X4)))|~(join_absorbing(X4)))|~(latt_str(X4)))|~(element(X5,the_carrier(X4))))|~(element(X6,the_carrier(X4)))))),inference(distribute,[status(thm)],[460])).
% cnf(462,plain,(empty_carrier(X2)|below_refl(X2,X3,X1)|~element(X1,the_carrier(X2))|~element(X3,the_carrier(X2))|~latt_str(X2)|~join_absorbing(X2)|~meet_absorbing(X2)|~meet_commutative(X2)|~below(X2,X3,X1)),inference(split_conjunct,[status(thm)],[461])).
% cnf(463,plain,(empty_carrier(X2)|below(X2,X3,X1)|~element(X1,the_carrier(X2))|~element(X3,the_carrier(X2))|~latt_str(X2)|~join_absorbing(X2)|~meet_absorbing(X2)|~meet_commutative(X2)|~below_refl(X2,X3,X1)),inference(split_conjunct,[status(thm)],[461])).
% fof(486, 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)],[69])).
% fof(487, 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)],[486])).
% cnf(489,plain,(relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[487])).
% fof(490, plain,![X1]:(~(rel_str(X1))|(~(strict_rel_str(X1))|X1=rel_str_of(the_carrier(X1),the_InternalRel(X1)))),inference(fof_nnf,[status(thm)],[70])).
% fof(491, plain,![X2]:(~(rel_str(X2))|(~(strict_rel_str(X2))|X2=rel_str_of(the_carrier(X2),the_InternalRel(X2)))),inference(variable_rename,[status(thm)],[490])).
% cnf(492,plain,(X1=rel_str_of(the_carrier(X1),the_InternalRel(X1))|~strict_rel_str(X1)|~rel_str(X1)),inference(split_conjunct,[status(thm)],[491])).
% fof(518, plain,![X2]:((((((((((((((((~(empty_carrier(boole_lattice(X2)))&strict_latt_str(boole_lattice(X2)))&join_commutative(boole_lattice(X2)))&join_associative(boole_lattice(X2)))&meet_commutative(boole_lattice(X2)))&meet_associative(boole_lattice(X2)))&meet_absorbing(boole_lattice(X2)))&join_absorbing(boole_lattice(X2)))&lattice(boole_lattice(X2)))&distributive_lattstr(boole_lattice(X2)))&modular_lattstr(boole_lattice(X2)))&lower_bounded_semilattstr(boole_lattice(X2)))&upper_bounded_semilattstr(boole_lattice(X2)))&bounded_lattstr(boole_lattice(X2)))&complemented_lattstr(boole_lattice(X2)))&boolean_lattstr(boole_lattice(X2)))&complete_latt_str(boole_lattice(X2))),inference(variable_rename,[status(thm)],[162])).
% cnf(527,plain,(lattice(boole_lattice(X1))),inference(split_conjunct,[status(thm)],[518])).
% cnf(528,plain,(join_absorbing(boole_lattice(X1))),inference(split_conjunct,[status(thm)],[518])).
% cnf(529,plain,(meet_absorbing(boole_lattice(X1))),inference(split_conjunct,[status(thm)],[518])).
% cnf(531,plain,(meet_commutative(boole_lattice(X1))),inference(split_conjunct,[status(thm)],[518])).
% fof(540, plain,![X1]:![X2]:(~(relation_of2(X2,X1,X1))|![X3]:![X4]:(~(rel_str_of(X1,X2)=rel_str_of(X3,X4))|(X1=X3&X2=X4))),inference(fof_nnf,[status(thm)],[80])).
% fof(541, plain,![X5]:![X6]:(~(relation_of2(X6,X5,X5))|![X7]:![X8]:(~(rel_str_of(X5,X6)=rel_str_of(X7,X8))|(X5=X7&X6=X8))),inference(variable_rename,[status(thm)],[540])).
% fof(542, plain,![X5]:![X6]:![X7]:![X8]:((~(rel_str_of(X5,X6)=rel_str_of(X7,X8))|(X5=X7&X6=X8))|~(relation_of2(X6,X5,X5))),inference(shift_quantors,[status(thm)],[541])).
% fof(543, plain,![X5]:![X6]:![X7]:![X8]:(((X5=X7|~(rel_str_of(X5,X6)=rel_str_of(X7,X8)))|~(relation_of2(X6,X5,X5)))&((X6=X8|~(rel_str_of(X5,X6)=rel_str_of(X7,X8)))|~(relation_of2(X6,X5,X5)))),inference(distribute,[status(thm)],[542])).
% cnf(545,plain,(X2=X3|~relation_of2(X1,X2,X2)|rel_str_of(X2,X1)!=rel_str_of(X3,X4)),inference(split_conjunct,[status(thm)],[543])).
% fof(830, negated_conjecture,?[X1]:?[X2]:(element(X2,the_carrier(boole_POSet(X1)))&?[X3]:(element(X3,the_carrier(boole_POSet(X1)))&((~(related_reflexive(boole_POSet(X1),X2,X3))|~(subset(X2,X3)))&(related_reflexive(boole_POSet(X1),X2,X3)|subset(X2,X3))))),inference(fof_nnf,[status(thm)],[122])).
% fof(831, negated_conjecture,?[X4]:?[X5]:(element(X5,the_carrier(boole_POSet(X4)))&?[X6]:(element(X6,the_carrier(boole_POSet(X4)))&((~(related_reflexive(boole_POSet(X4),X5,X6))|~(subset(X5,X6)))&(related_reflexive(boole_POSet(X4),X5,X6)|subset(X5,X6))))),inference(variable_rename,[status(thm)],[830])).
% fof(832, negated_conjecture,(element(esk30_0,the_carrier(boole_POSet(esk29_0)))&(element(esk31_0,the_carrier(boole_POSet(esk29_0)))&((~(related_reflexive(boole_POSet(esk29_0),esk30_0,esk31_0))|~(subset(esk30_0,esk31_0)))&(related_reflexive(boole_POSet(esk29_0),esk30_0,esk31_0)|subset(esk30_0,esk31_0))))),inference(skolemize,[status(esa)],[831])).
% cnf(833,negated_conjecture,(subset(esk30_0,esk31_0)|related_reflexive(boole_POSet(esk29_0),esk30_0,esk31_0)),inference(split_conjunct,[status(thm)],[832])).
% cnf(834,negated_conjecture,(~subset(esk30_0,esk31_0)|~related_reflexive(boole_POSet(esk29_0),esk30_0,esk31_0)),inference(split_conjunct,[status(thm)],[832])).
% cnf(835,negated_conjecture,(element(esk31_0,the_carrier(boole_POSet(esk29_0)))),inference(split_conjunct,[status(thm)],[832])).
% cnf(836,negated_conjecture,(element(esk30_0,the_carrier(boole_POSet(esk29_0)))),inference(split_conjunct,[status(thm)],[832])).
% cnf(853,negated_conjecture,(element(esk30_0,the_carrier(poset_of_lattice(boole_lattice(esk29_0))))),inference(rw,[status(thm)],[836,286,theory(equality)]),['unfolding']).
% cnf(854,negated_conjecture,(element(esk31_0,the_carrier(poset_of_lattice(boole_lattice(esk29_0))))),inference(rw,[status(thm)],[835,286,theory(equality)]),['unfolding']).
% cnf(855,negated_conjecture,(subset(esk30_0,esk31_0)|related_reflexive(poset_of_lattice(boole_lattice(esk29_0)),esk30_0,esk31_0)),inference(rw,[status(thm)],[833,286,theory(equality)]),['unfolding']).
% cnf(858,negated_conjecture,(~subset(esk30_0,esk31_0)|~related_reflexive(poset_of_lattice(boole_lattice(esk29_0)),esk30_0,esk31_0)),inference(rw,[status(thm)],[834,286,theory(equality)]),['unfolding']).
% cnf(1007,plain,(relation_of2(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1)),inference(spm,[status(thm)],[489,332,theory(equality)])).
% cnf(1250,plain,(below_refl(X1,X2,X3)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)|~related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))),inference(spm,[status(thm)],[222,267,theory(equality)])).
% cnf(1269,plain,(subset(X1,X2)|empty_carrier(boole_lattice(X3))|~element(X2,the_carrier(boole_lattice(X3)))|~element(X1,the_carrier(boole_lattice(X3)))|~join_absorbing(boole_lattice(X3))|~meet_absorbing(boole_lattice(X3))|~meet_commutative(boole_lattice(X3))|~below_refl(boole_lattice(X3),X1,X2)|~latt_str(boole_lattice(X3))),inference(spm,[status(thm)],[197,463,theory(equality)])).
% cnf(1270,plain,(subset(X1,X2)|empty_carrier(boole_lattice(X3))|~element(X2,the_carrier(boole_lattice(X3)))|~element(X1,the_carrier(boole_lattice(X3)))|$false|~meet_absorbing(boole_lattice(X3))|~meet_commutative(boole_lattice(X3))|~below_refl(boole_lattice(X3),X1,X2)|~latt_str(boole_lattice(X3))),inference(rw,[status(thm)],[1269,528,theory(equality)])).
% cnf(1271,plain,(subset(X1,X2)|empty_carrier(boole_lattice(X3))|~element(X2,the_carrier(boole_lattice(X3)))|~element(X1,the_carrier(boole_lattice(X3)))|$false|$false|~meet_commutative(boole_lattice(X3))|~below_refl(boole_lattice(X3),X1,X2)|~latt_str(boole_lattice(X3))),inference(rw,[status(thm)],[1270,529,theory(equality)])).
% cnf(1272,plain,(subset(X1,X2)|empty_carrier(boole_lattice(X3))|~element(X2,the_carrier(boole_lattice(X3)))|~element(X1,the_carrier(boole_lattice(X3)))|$false|$false|$false|~below_refl(boole_lattice(X3),X1,X2)|~latt_str(boole_lattice(X3))),inference(rw,[status(thm)],[1271,531,theory(equality)])).
% cnf(1273,plain,(subset(X1,X2)|empty_carrier(boole_lattice(X3))|~element(X2,the_carrier(boole_lattice(X3)))|~element(X1,the_carrier(boole_lattice(X3)))|$false|$false|$false|~below_refl(boole_lattice(X3),X1,X2)|$false),inference(rw,[status(thm)],[1272,410,theory(equality)])).
% cnf(1274,plain,(subset(X1,X2)|empty_carrier(boole_lattice(X3))|~element(X2,the_carrier(boole_lattice(X3)))|~element(X1,the_carrier(boole_lattice(X3)))|~below_refl(boole_lattice(X3),X1,X2)),inference(cn,[status(thm)],[1273,theory(equality)])).
% cnf(1275,plain,(subset(X1,X2)|~element(X2,the_carrier(boole_lattice(X3)))|~element(X1,the_carrier(boole_lattice(X3)))|~below_refl(boole_lattice(X3),X1,X2)),inference(sr,[status(thm)],[1274,391,theory(equality)])).
% cnf(1276,plain,(below_refl(boole_lattice(X1),X2,X3)|empty_carrier(boole_lattice(X1))|~join_absorbing(boole_lattice(X1))|~meet_absorbing(boole_lattice(X1))|~meet_commutative(boole_lattice(X1))|~latt_str(boole_lattice(X1))|~element(X2,the_carrier(boole_lattice(X1)))|~element(X3,the_carrier(boole_lattice(X1)))|~subset(X2,X3)),inference(spm,[status(thm)],[462,196,theory(equality)])).
% cnf(1278,plain,(below_refl(boole_lattice(X1),X2,X3)|empty_carrier(boole_lattice(X1))|$false|~meet_absorbing(boole_lattice(X1))|~meet_commutative(boole_lattice(X1))|~latt_str(boole_lattice(X1))|~element(X2,the_carrier(boole_lattice(X1)))|~element(X3,the_carrier(boole_lattice(X1)))|~subset(X2,X3)),inference(rw,[status(thm)],[1276,528,theory(equality)])).
% cnf(1279,plain,(below_refl(boole_lattice(X1),X2,X3)|empty_carrier(boole_lattice(X1))|$false|$false|~meet_commutative(boole_lattice(X1))|~latt_str(boole_lattice(X1))|~element(X2,the_carrier(boole_lattice(X1)))|~element(X3,the_carrier(boole_lattice(X1)))|~subset(X2,X3)),inference(rw,[status(thm)],[1278,529,theory(equality)])).
% cnf(1280,plain,(below_refl(boole_lattice(X1),X2,X3)|empty_carrier(boole_lattice(X1))|$false|$false|$false|~latt_str(boole_lattice(X1))|~element(X2,the_carrier(boole_lattice(X1)))|~element(X3,the_carrier(boole_lattice(X1)))|~subset(X2,X3)),inference(rw,[status(thm)],[1279,531,theory(equality)])).
% cnf(1281,plain,(below_refl(boole_lattice(X1),X2,X3)|empty_carrier(boole_lattice(X1))|$false|$false|$false|$false|~element(X2,the_carrier(boole_lattice(X1)))|~element(X3,the_carrier(boole_lattice(X1)))|~subset(X2,X3)),inference(rw,[status(thm)],[1280,410,theory(equality)])).
% cnf(1282,plain,(below_refl(boole_lattice(X1),X2,X3)|empty_carrier(boole_lattice(X1))|~element(X2,the_carrier(boole_lattice(X1)))|~element(X3,the_carrier(boole_lattice(X1)))|~subset(X2,X3)),inference(cn,[status(thm)],[1281,theory(equality)])).
% cnf(1283,plain,(below_refl(boole_lattice(X1),X2,X3)|~element(X2,the_carrier(boole_lattice(X1)))|~element(X3,the_carrier(boole_lattice(X1)))|~subset(X2,X3)),inference(sr,[status(thm)],[1282,391,theory(equality)])).
% cnf(1285,plain,(related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),X3)|empty_carrier(X1)|~below_refl(X1,X2,X3)|~lattice(X1)|~latt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))),inference(spm,[status(thm)],[223,267,theory(equality)])).
% cnf(1419,plain,(the_carrier(X1)=X2|rel_str_of(the_carrier(X1),the_InternalRel(X1))!=rel_str_of(X2,X3)|~rel_str(X1)),inference(spm,[status(thm)],[545,1007,theory(equality)])).
% cnf(1426,plain,(the_carrier(X1)=X2|X1!=rel_str_of(X2,X3)|~rel_str(X1)|~strict_rel_str(X1)),inference(spm,[status(thm)],[1419,492,theory(equality)])).
% cnf(1427,plain,(the_carrier(rel_str_of(X1,X2))=X1|~strict_rel_str(rel_str_of(X1,X2))|~rel_str(rel_str_of(X1,X2))),inference(er,[status(thm)],[1426,theory(equality)])).
% cnf(1445,plain,(the_carrier(poset_of_lattice(X1))=the_carrier(X1)|empty_carrier(X1)|~strict_rel_str(poset_of_lattice(X1))|~rel_str(poset_of_lattice(X1))|~lattice(X1)|~latt_str(X1)),inference(spm,[status(thm)],[1427,278,theory(equality)])).
% cnf(1911,plain,(the_carrier(poset_of_lattice(X1))=the_carrier(X1)|empty_carrier(X1)|~lattice(X1)|~strict_rel_str(poset_of_lattice(X1))|~latt_str(X1)),inference(csr,[status(thm)],[1445,367])).
% cnf(1912,plain,(the_carrier(poset_of_lattice(X1))=the_carrier(X1)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)),inference(csr,[status(thm)],[1911,339])).
% cnf(1940,negated_conjecture,(element(esk30_0,the_carrier(boole_lattice(esk29_0)))|empty_carrier(boole_lattice(esk29_0))|~lattice(boole_lattice(esk29_0))|~latt_str(boole_lattice(esk29_0))),inference(spm,[status(thm)],[853,1912,theory(equality)])).
% cnf(1941,negated_conjecture,(element(esk31_0,the_carrier(boole_lattice(esk29_0)))|empty_carrier(boole_lattice(esk29_0))|~lattice(boole_lattice(esk29_0))|~latt_str(boole_lattice(esk29_0))),inference(spm,[status(thm)],[854,1912,theory(equality)])).
% cnf(1949,negated_conjecture,(element(esk30_0,the_carrier(boole_lattice(esk29_0)))|empty_carrier(boole_lattice(esk29_0))|$false|~latt_str(boole_lattice(esk29_0))),inference(rw,[status(thm)],[1940,527,theory(equality)])).
% cnf(1950,negated_conjecture,(element(esk30_0,the_carrier(boole_lattice(esk29_0)))|empty_carrier(boole_lattice(esk29_0))|$false|$false),inference(rw,[status(thm)],[1949,410,theory(equality)])).
% cnf(1951,negated_conjecture,(element(esk30_0,the_carrier(boole_lattice(esk29_0)))|empty_carrier(boole_lattice(esk29_0))),inference(cn,[status(thm)],[1950,theory(equality)])).
% cnf(1952,negated_conjecture,(element(esk30_0,the_carrier(boole_lattice(esk29_0)))),inference(sr,[status(thm)],[1951,391,theory(equality)])).
% cnf(1953,negated_conjecture,(element(esk31_0,the_carrier(boole_lattice(esk29_0)))|empty_carrier(boole_lattice(esk29_0))|$false|~latt_str(boole_lattice(esk29_0))),inference(rw,[status(thm)],[1941,527,theory(equality)])).
% cnf(1954,negated_conjecture,(element(esk31_0,the_carrier(boole_lattice(esk29_0)))|empty_carrier(boole_lattice(esk29_0))|$false|$false),inference(rw,[status(thm)],[1953,410,theory(equality)])).
% cnf(1955,negated_conjecture,(element(esk31_0,the_carrier(boole_lattice(esk29_0)))|empty_carrier(boole_lattice(esk29_0))),inference(cn,[status(thm)],[1954,theory(equality)])).
% cnf(1956,negated_conjecture,(element(esk31_0,the_carrier(boole_lattice(esk29_0)))),inference(sr,[status(thm)],[1955,391,theory(equality)])).
% cnf(2091,plain,(below_refl(X1,X2,X3)|empty_carrier(X1)|~lattice(X1)|~latt_str(X1)|~related_reflexive(poset_of_lattice(X1),X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))),inference(spm,[status(thm)],[1250,267,theory(equality)])).
% cnf(2455,negated_conjecture,(below_refl(boole_lattice(esk29_0),esk30_0,esk31_0)|empty_carrier(boole_lattice(esk29_0))|subset(esk30_0,esk31_0)|~lattice(boole_lattice(esk29_0))|~latt_str(boole_lattice(esk29_0))|~element(esk31_0,the_carrier(boole_lattice(esk29_0)))|~element(esk30_0,the_carrier(boole_lattice(esk29_0)))),inference(spm,[status(thm)],[2091,855,theory(equality)])).
% cnf(2458,negated_conjecture,(below_refl(boole_lattice(esk29_0),esk30_0,esk31_0)|empty_carrier(boole_lattice(esk29_0))|subset(esk30_0,esk31_0)|$false|~latt_str(boole_lattice(esk29_0))|~element(esk31_0,the_carrier(boole_lattice(esk29_0)))|~element(esk30_0,the_carrier(boole_lattice(esk29_0)))),inference(rw,[status(thm)],[2455,527,theory(equality)])).
% cnf(2459,negated_conjecture,(below_refl(boole_lattice(esk29_0),esk30_0,esk31_0)|empty_carrier(boole_lattice(esk29_0))|subset(esk30_0,esk31_0)|$false|$false|~element(esk31_0,the_carrier(boole_lattice(esk29_0)))|~element(esk30_0,the_carrier(boole_lattice(esk29_0)))),inference(rw,[status(thm)],[2458,410,theory(equality)])).
% cnf(2460,negated_conjecture,(below_refl(boole_lattice(esk29_0),esk30_0,esk31_0)|empty_carrier(boole_lattice(esk29_0))|subset(esk30_0,esk31_0)|$false|$false|$false|~element(esk30_0,the_carrier(boole_lattice(esk29_0)))),inference(rw,[status(thm)],[2459,1956,theory(equality)])).
% cnf(2461,negated_conjecture,(below_refl(boole_lattice(esk29_0),esk30_0,esk31_0)|empty_carrier(boole_lattice(esk29_0))|subset(esk30_0,esk31_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[2460,1952,theory(equality)])).
% cnf(2462,negated_conjecture,(below_refl(boole_lattice(esk29_0),esk30_0,esk31_0)|empty_carrier(boole_lattice(esk29_0))|subset(esk30_0,esk31_0)),inference(cn,[status(thm)],[2461,theory(equality)])).
% cnf(2463,negated_conjecture,(below_refl(boole_lattice(esk29_0),esk30_0,esk31_0)|subset(esk30_0,esk31_0)),inference(sr,[status(thm)],[2462,391,theory(equality)])).
% cnf(2488,negated_conjecture,(subset(esk30_0,esk31_0)|~element(esk31_0,the_carrier(boole_lattice(esk29_0)))|~element(esk30_0,the_carrier(boole_lattice(esk29_0)))),inference(spm,[status(thm)],[1275,2463,theory(equality)])).
% cnf(2489,negated_conjecture,(subset(esk30_0,esk31_0)|$false|~element(esk30_0,the_carrier(boole_lattice(esk29_0)))),inference(rw,[status(thm)],[2488,1956,theory(equality)])).
% cnf(2490,negated_conjecture,(subset(esk30_0,esk31_0)|$false|$false),inference(rw,[status(thm)],[2489,1952,theory(equality)])).
% cnf(2491,negated_conjecture,(subset(esk30_0,esk31_0)),inference(cn,[status(thm)],[2490,theory(equality)])).
% cnf(2495,negated_conjecture,(~related_reflexive(poset_of_lattice(boole_lattice(esk29_0)),esk30_0,esk31_0)|$false),inference(rw,[status(thm)],[858,2491,theory(equality)])).
% cnf(2496,negated_conjecture,(~related_reflexive(poset_of_lattice(boole_lattice(esk29_0)),esk30_0,esk31_0)),inference(cn,[status(thm)],[2495,theory(equality)])).
% cnf(2521,plain,(related_reflexive(poset_of_lattice(X1),X2,X3)|empty_carrier(X1)|~below_refl(X1,X2,X3)|~lattice(X1)|~latt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))),inference(spm,[status(thm)],[1285,267,theory(equality)])).
% cnf(3449,negated_conjecture,(empty_carrier(boole_lattice(esk29_0))|~below_refl(boole_lattice(esk29_0),esk30_0,esk31_0)|~lattice(boole_lattice(esk29_0))|~latt_str(boole_lattice(esk29_0))|~element(esk31_0,the_carrier(boole_lattice(esk29_0)))|~element(esk30_0,the_carrier(boole_lattice(esk29_0)))),inference(spm,[status(thm)],[2496,2521,theory(equality)])).
% cnf(3454,negated_conjecture,(empty_carrier(boole_lattice(esk29_0))|~below_refl(boole_lattice(esk29_0),esk30_0,esk31_0)|$false|~latt_str(boole_lattice(esk29_0))|~element(esk31_0,the_carrier(boole_lattice(esk29_0)))|~element(esk30_0,the_carrier(boole_lattice(esk29_0)))),inference(rw,[status(thm)],[3449,527,theory(equality)])).
% cnf(3455,negated_conjecture,(empty_carrier(boole_lattice(esk29_0))|~below_refl(boole_lattice(esk29_0),esk30_0,esk31_0)|$false|$false|~element(esk31_0,the_carrier(boole_lattice(esk29_0)))|~element(esk30_0,the_carrier(boole_lattice(esk29_0)))),inference(rw,[status(thm)],[3454,410,theory(equality)])).
% cnf(3456,negated_conjecture,(empty_carrier(boole_lattice(esk29_0))|~below_refl(boole_lattice(esk29_0),esk30_0,esk31_0)|$false|$false|$false|~element(esk30_0,the_carrier(boole_lattice(esk29_0)))),inference(rw,[status(thm)],[3455,1956,theory(equality)])).
% cnf(3457,negated_conjecture,(empty_carrier(boole_lattice(esk29_0))|~below_refl(boole_lattice(esk29_0),esk30_0,esk31_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[3456,1952,theory(equality)])).
% cnf(3458,negated_conjecture,(empty_carrier(boole_lattice(esk29_0))|~below_refl(boole_lattice(esk29_0),esk30_0,esk31_0)),inference(cn,[status(thm)],[3457,theory(equality)])).
% cnf(3459,negated_conjecture,(~below_refl(boole_lattice(esk29_0),esk30_0,esk31_0)),inference(sr,[status(thm)],[3458,391,theory(equality)])).
% cnf(3460,negated_conjecture,(~subset(esk30_0,esk31_0)|~element(esk30_0,the_carrier(boole_lattice(esk29_0)))|~element(esk31_0,the_carrier(boole_lattice(esk29_0)))),inference(spm,[status(thm)],[3459,1283,theory(equality)])).
% cnf(3461,negated_conjecture,($false|~element(esk30_0,the_carrier(boole_lattice(esk29_0)))|~element(esk31_0,the_carrier(boole_lattice(esk29_0)))),inference(rw,[status(thm)],[3460,2491,theory(equality)])).
% cnf(3462,negated_conjecture,($false|$false|~element(esk31_0,the_carrier(boole_lattice(esk29_0)))),inference(rw,[status(thm)],[3461,1952,theory(equality)])).
% cnf(3463,negated_conjecture,($false|$false|$false),inference(rw,[status(thm)],[3462,1956,theory(equality)])).
% cnf(3464,negated_conjecture,($false),inference(cn,[status(thm)],[3463,theory(equality)])).
% cnf(3465,negated_conjecture,($false),3464,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 867
% # ...of these trivial : 35
% # ...subsumed : 236
% # ...remaining for further processing: 596
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 10
% # Backward-rewritten : 11
% # Generated clauses : 1604
% # ...of the previous two non-trivial : 1421
% # Contextual simplify-reflections : 181
% # Paramodulations : 1578
% # Factorizations : 0
% # Equation resolutions : 20
% # Current number of processed clauses: 573
% # Positive orientable unit clauses: 187
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 29
% # Non-unit-clauses : 356
% # Current number of unprocessed clauses: 881
% # ...number of literals in the above : 4268
% # Clause-clause subsumption calls (NU) : 7339
% # Rec. Clause-clause subsumption calls : 3091
% # Unit Clause-clause subsumption calls : 347
% # Rewrite failures with RHS unbound : 6
% # Indexed BW rewrite attempts : 17
% # Indexed BW rewrite successes : 11
% # Backwards rewriting index: 570 leaves, 1.35+/-1.054 terms/leaf
% # Paramod-from index: 303 leaves, 1.05+/-0.294 terms/leaf
% # Paramod-into index: 497 leaves, 1.23+/-0.818 terms/leaf
% # -------------------------------------------------
% # User time : 0.141 s
% # System time : 0.011 s
% # Total time : 0.152 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.29 CPU 0.38 WC
% FINAL PrfWatch: 0.29 CPU 0.38 WC
% SZS output end Solution for /tmp/SystemOnTPTP21624/SEU369+1.tptp
%
%------------------------------------------------------------------------------