TSTP Solution File: SEU304+2 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU304+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art09.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 03:21:09 EST 2010
% Result : Theorem 23.78s
% Output : Solution 23.78s
% 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/SystemOnTPTP27289/SEU304+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP27289/SEU304+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP27289/SEU304+2.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 27385
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.91 CPU 2.01 WC
% PrfWatch: 3.90 CPU 4.01 WC
% PrfWatch: 5.90 CPU 6.02 WC
% PrfWatch: 7.89 CPU 8.02 WC
% PrfWatch: 9.88 CPU 10.03 WC
% # Preprocessing time : 0.204 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 11.87 CPU 12.03 WC
% PrfWatch: 13.86 CPU 14.04 WC
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>element(meet_commut(X1,X2,X3),the_carrier(X1))),file('/tmp/SRASS.s.p', dt_k4_lattices)).
% fof(4, axiom,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>meet_commut(X1,X2,X3)=meet_commut(X1,X3,X2)),file('/tmp/SRASS.s.p', commutativity_k4_lattices)).
% fof(5, axiom,![X1]:((~(empty_carrier(X1))&latt_str(X1))=>(meet_absorbing(X1)<=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>join(X1,meet(X1,X2,X3),X3)=X3)))),file('/tmp/SRASS.s.p', d8_lattices)).
% fof(6, axiom,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>meet_commut(X1,X2,X3)=meet(X1,X2,X3)),file('/tmp/SRASS.s.p', redefinition_k4_lattices)).
% fof(7, axiom,![X1]:((~(empty_carrier(X1))&join_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>(below(X1,X2,X3)<=>join(X1,X2,X3)=X3)))),file('/tmp/SRASS.s.p', d3_lattices)).
% fof(28, axiom,![X1]:(latt_str(X1)=>(meet_semilatt_str(X1)&join_semilatt_str(X1))),file('/tmp/SRASS.s.p', dt_l3_lattices)).
% fof(450, conjecture,![X1]:((((~(empty_carrier(X1))&meet_commutative(X1))&meet_absorbing(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>below(X1,meet_commut(X1,X2,X3),X2)))),file('/tmp/SRASS.s.p', t23_lattices)).
% fof(451, negated_conjecture,~(![X1]:((((~(empty_carrier(X1))&meet_commutative(X1))&meet_absorbing(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>below(X1,meet_commut(X1,X2,X3),X2))))),inference(assume_negation,[status(cth)],[450])).
% fof(452, plain,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>element(meet_commut(X1,X2,X3),the_carrier(X1))),inference(fof_simplification,[status(thm)],[3,theory(equality)])).
% fof(453, plain,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>meet_commut(X1,X2,X3)=meet_commut(X1,X3,X2)),inference(fof_simplification,[status(thm)],[4,theory(equality)])).
% fof(454, plain,![X1]:((~(empty_carrier(X1))&latt_str(X1))=>(meet_absorbing(X1)<=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>join(X1,meet(X1,X2,X3),X3)=X3)))),inference(fof_simplification,[status(thm)],[5,theory(equality)])).
% fof(455, plain,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>meet_commut(X1,X2,X3)=meet(X1,X2,X3)),inference(fof_simplification,[status(thm)],[6,theory(equality)])).
% fof(456, plain,![X1]:((~(empty_carrier(X1))&join_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>(below(X1,X2,X3)<=>join(X1,X2,X3)=X3)))),inference(fof_simplification,[status(thm)],[7,theory(equality)])).
% fof(519, negated_conjecture,~(![X1]:((((~(empty_carrier(X1))&meet_commutative(X1))&meet_absorbing(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>below(X1,meet_commut(X1,X2,X3),X2))))),inference(fof_simplification,[status(thm)],[451,theory(equality)])).
% fof(532, plain,![X1]:![X2]:![X3]:(((((empty_carrier(X1)|~(meet_commutative(X1)))|~(meet_semilatt_str(X1)))|~(element(X2,the_carrier(X1))))|~(element(X3,the_carrier(X1))))|element(meet_commut(X1,X2,X3),the_carrier(X1))),inference(fof_nnf,[status(thm)],[452])).
% fof(533, plain,![X4]:![X5]:![X6]:(((((empty_carrier(X4)|~(meet_commutative(X4)))|~(meet_semilatt_str(X4)))|~(element(X5,the_carrier(X4))))|~(element(X6,the_carrier(X4))))|element(meet_commut(X4,X5,X6),the_carrier(X4))),inference(variable_rename,[status(thm)],[532])).
% cnf(534,plain,(element(meet_commut(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~meet_semilatt_str(X1)|~meet_commutative(X1)),inference(split_conjunct,[status(thm)],[533])).
% fof(535, plain,![X1]:![X2]:![X3]:(((((empty_carrier(X1)|~(meet_commutative(X1)))|~(meet_semilatt_str(X1)))|~(element(X2,the_carrier(X1))))|~(element(X3,the_carrier(X1))))|meet_commut(X1,X2,X3)=meet_commut(X1,X3,X2)),inference(fof_nnf,[status(thm)],[453])).
% fof(536, plain,![X4]:![X5]:![X6]:(((((empty_carrier(X4)|~(meet_commutative(X4)))|~(meet_semilatt_str(X4)))|~(element(X5,the_carrier(X4))))|~(element(X6,the_carrier(X4))))|meet_commut(X4,X5,X6)=meet_commut(X4,X6,X5)),inference(variable_rename,[status(thm)],[535])).
% cnf(537,plain,(meet_commut(X1,X2,X3)=meet_commut(X1,X3,X2)|empty_carrier(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~meet_semilatt_str(X1)|~meet_commutative(X1)),inference(split_conjunct,[status(thm)],[536])).
% fof(538, plain,![X1]:((empty_carrier(X1)|~(latt_str(X1)))|((~(meet_absorbing(X1))|![X2]:(~(element(X2,the_carrier(X1)))|![X3]:(~(element(X3,the_carrier(X1)))|join(X1,meet(X1,X2,X3),X3)=X3)))&(?[X2]:(element(X2,the_carrier(X1))&?[X3]:(element(X3,the_carrier(X1))&~(join(X1,meet(X1,X2,X3),X3)=X3)))|meet_absorbing(X1)))),inference(fof_nnf,[status(thm)],[454])).
% fof(539, plain,![X4]:((empty_carrier(X4)|~(latt_str(X4)))|((~(meet_absorbing(X4))|![X5]:(~(element(X5,the_carrier(X4)))|![X6]:(~(element(X6,the_carrier(X4)))|join(X4,meet(X4,X5,X6),X6)=X6)))&(?[X7]:(element(X7,the_carrier(X4))&?[X8]:(element(X8,the_carrier(X4))&~(join(X4,meet(X4,X7,X8),X8)=X8)))|meet_absorbing(X4)))),inference(variable_rename,[status(thm)],[538])).
% fof(540, plain,![X4]:((empty_carrier(X4)|~(latt_str(X4)))|((~(meet_absorbing(X4))|![X5]:(~(element(X5,the_carrier(X4)))|![X6]:(~(element(X6,the_carrier(X4)))|join(X4,meet(X4,X5,X6),X6)=X6)))&((element(esk3_1(X4),the_carrier(X4))&(element(esk4_1(X4),the_carrier(X4))&~(join(X4,meet(X4,esk3_1(X4),esk4_1(X4)),esk4_1(X4))=esk4_1(X4))))|meet_absorbing(X4)))),inference(skolemize,[status(esa)],[539])).
% fof(541, plain,![X4]:![X5]:![X6]:(((((~(element(X6,the_carrier(X4)))|join(X4,meet(X4,X5,X6),X6)=X6)|~(element(X5,the_carrier(X4))))|~(meet_absorbing(X4)))&((element(esk3_1(X4),the_carrier(X4))&(element(esk4_1(X4),the_carrier(X4))&~(join(X4,meet(X4,esk3_1(X4),esk4_1(X4)),esk4_1(X4))=esk4_1(X4))))|meet_absorbing(X4)))|(empty_carrier(X4)|~(latt_str(X4)))),inference(shift_quantors,[status(thm)],[540])).
% fof(542, plain,![X4]:![X5]:![X6]:(((((~(element(X6,the_carrier(X4)))|join(X4,meet(X4,X5,X6),X6)=X6)|~(element(X5,the_carrier(X4))))|~(meet_absorbing(X4)))|(empty_carrier(X4)|~(latt_str(X4))))&(((element(esk3_1(X4),the_carrier(X4))|meet_absorbing(X4))|(empty_carrier(X4)|~(latt_str(X4))))&(((element(esk4_1(X4),the_carrier(X4))|meet_absorbing(X4))|(empty_carrier(X4)|~(latt_str(X4))))&((~(join(X4,meet(X4,esk3_1(X4),esk4_1(X4)),esk4_1(X4))=esk4_1(X4))|meet_absorbing(X4))|(empty_carrier(X4)|~(latt_str(X4))))))),inference(distribute,[status(thm)],[541])).
% cnf(546,plain,(empty_carrier(X1)|join(X1,meet(X1,X2,X3),X3)=X3|~latt_str(X1)|~meet_absorbing(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))),inference(split_conjunct,[status(thm)],[542])).
% fof(547, plain,![X1]:![X2]:![X3]:(((((empty_carrier(X1)|~(meet_commutative(X1)))|~(meet_semilatt_str(X1)))|~(element(X2,the_carrier(X1))))|~(element(X3,the_carrier(X1))))|meet_commut(X1,X2,X3)=meet(X1,X2,X3)),inference(fof_nnf,[status(thm)],[455])).
% fof(548, plain,![X4]:![X5]:![X6]:(((((empty_carrier(X4)|~(meet_commutative(X4)))|~(meet_semilatt_str(X4)))|~(element(X5,the_carrier(X4))))|~(element(X6,the_carrier(X4))))|meet_commut(X4,X5,X6)=meet(X4,X5,X6)),inference(variable_rename,[status(thm)],[547])).
% cnf(549,plain,(meet_commut(X1,X2,X3)=meet(X1,X2,X3)|empty_carrier(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~meet_semilatt_str(X1)|~meet_commutative(X1)),inference(split_conjunct,[status(thm)],[548])).
% fof(550, plain,![X1]:((empty_carrier(X1)|~(join_semilatt_str(X1)))|![X2]:(~(element(X2,the_carrier(X1)))|![X3]:(~(element(X3,the_carrier(X1)))|((~(below(X1,X2,X3))|join(X1,X2,X3)=X3)&(~(join(X1,X2,X3)=X3)|below(X1,X2,X3)))))),inference(fof_nnf,[status(thm)],[456])).
% fof(551, plain,![X4]:((empty_carrier(X4)|~(join_semilatt_str(X4)))|![X5]:(~(element(X5,the_carrier(X4)))|![X6]:(~(element(X6,the_carrier(X4)))|((~(below(X4,X5,X6))|join(X4,X5,X6)=X6)&(~(join(X4,X5,X6)=X6)|below(X4,X5,X6)))))),inference(variable_rename,[status(thm)],[550])).
% fof(552, plain,![X4]:![X5]:![X6]:(((~(element(X6,the_carrier(X4)))|((~(below(X4,X5,X6))|join(X4,X5,X6)=X6)&(~(join(X4,X5,X6)=X6)|below(X4,X5,X6))))|~(element(X5,the_carrier(X4))))|(empty_carrier(X4)|~(join_semilatt_str(X4)))),inference(shift_quantors,[status(thm)],[551])).
% fof(553, plain,![X4]:![X5]:![X6]:(((((~(below(X4,X5,X6))|join(X4,X5,X6)=X6)|~(element(X6,the_carrier(X4))))|~(element(X5,the_carrier(X4))))|(empty_carrier(X4)|~(join_semilatt_str(X4))))&((((~(join(X4,X5,X6)=X6)|below(X4,X5,X6))|~(element(X6,the_carrier(X4))))|~(element(X5,the_carrier(X4))))|(empty_carrier(X4)|~(join_semilatt_str(X4))))),inference(distribute,[status(thm)],[552])).
% cnf(554,plain,(empty_carrier(X1)|below(X1,X2,X3)|~join_semilatt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|join(X1,X2,X3)!=X3),inference(split_conjunct,[status(thm)],[553])).
% fof(632, plain,![X1]:(~(latt_str(X1))|(meet_semilatt_str(X1)&join_semilatt_str(X1))),inference(fof_nnf,[status(thm)],[28])).
% fof(633, plain,![X2]:(~(latt_str(X2))|(meet_semilatt_str(X2)&join_semilatt_str(X2))),inference(variable_rename,[status(thm)],[632])).
% fof(634, plain,![X2]:((meet_semilatt_str(X2)|~(latt_str(X2)))&(join_semilatt_str(X2)|~(latt_str(X2)))),inference(distribute,[status(thm)],[633])).
% cnf(635,plain,(join_semilatt_str(X1)|~latt_str(X1)),inference(split_conjunct,[status(thm)],[634])).
% cnf(636,plain,(meet_semilatt_str(X1)|~latt_str(X1)),inference(split_conjunct,[status(thm)],[634])).
% fof(3408, negated_conjecture,?[X1]:((((~(empty_carrier(X1))&meet_commutative(X1))&meet_absorbing(X1))&latt_str(X1))&?[X2]:(element(X2,the_carrier(X1))&?[X3]:(element(X3,the_carrier(X1))&~(below(X1,meet_commut(X1,X2,X3),X2))))),inference(fof_nnf,[status(thm)],[519])).
% fof(3409, negated_conjecture,?[X4]:((((~(empty_carrier(X4))&meet_commutative(X4))&meet_absorbing(X4))&latt_str(X4))&?[X5]:(element(X5,the_carrier(X4))&?[X6]:(element(X6,the_carrier(X4))&~(below(X4,meet_commut(X4,X5,X6),X5))))),inference(variable_rename,[status(thm)],[3408])).
% fof(3410, negated_conjecture,((((~(empty_carrier(esk309_0))&meet_commutative(esk309_0))&meet_absorbing(esk309_0))&latt_str(esk309_0))&(element(esk310_0,the_carrier(esk309_0))&(element(esk311_0,the_carrier(esk309_0))&~(below(esk309_0,meet_commut(esk309_0,esk310_0,esk311_0),esk310_0))))),inference(skolemize,[status(esa)],[3409])).
% cnf(3411,negated_conjecture,(~below(esk309_0,meet_commut(esk309_0,esk310_0,esk311_0),esk310_0)),inference(split_conjunct,[status(thm)],[3410])).
% cnf(3412,negated_conjecture,(element(esk311_0,the_carrier(esk309_0))),inference(split_conjunct,[status(thm)],[3410])).
% cnf(3413,negated_conjecture,(element(esk310_0,the_carrier(esk309_0))),inference(split_conjunct,[status(thm)],[3410])).
% cnf(3414,negated_conjecture,(latt_str(esk309_0)),inference(split_conjunct,[status(thm)],[3410])).
% cnf(3415,negated_conjecture,(meet_absorbing(esk309_0)),inference(split_conjunct,[status(thm)],[3410])).
% cnf(3416,negated_conjecture,(meet_commutative(esk309_0)),inference(split_conjunct,[status(thm)],[3410])).
% cnf(3417,negated_conjecture,(~empty_carrier(esk309_0)),inference(split_conjunct,[status(thm)],[3410])).
% cnf(4903,negated_conjecture,(meet_semilatt_str(esk309_0)),inference(spm,[status(thm)],[636,3414,theory(equality)])).
% cnf(4905,negated_conjecture,(join_semilatt_str(esk309_0)),inference(spm,[status(thm)],[635,3414,theory(equality)])).
% cnf(9971,negated_conjecture,(below(esk309_0,X1,esk310_0)|empty_carrier(esk309_0)|join(esk309_0,X1,esk310_0)!=esk310_0|~join_semilatt_str(esk309_0)|~element(X1,the_carrier(esk309_0))),inference(spm,[status(thm)],[554,3413,theory(equality)])).
% cnf(9981,negated_conjecture,(below(esk309_0,X1,esk310_0)|join(esk309_0,X1,esk310_0)!=esk310_0|~join_semilatt_str(esk309_0)|~element(X1,the_carrier(esk309_0))),inference(sr,[status(thm)],[9971,3417,theory(equality)])).
% cnf(10814,negated_conjecture,(meet_commut(esk309_0,X1,esk311_0)=meet(esk309_0,X1,esk311_0)|empty_carrier(esk309_0)|~meet_semilatt_str(esk309_0)|~meet_commutative(esk309_0)|~element(X1,the_carrier(esk309_0))),inference(spm,[status(thm)],[549,3412,theory(equality)])).
% cnf(10815,negated_conjecture,(meet_commut(esk309_0,X1,esk310_0)=meet(esk309_0,X1,esk310_0)|empty_carrier(esk309_0)|~meet_semilatt_str(esk309_0)|~meet_commutative(esk309_0)|~element(X1,the_carrier(esk309_0))),inference(spm,[status(thm)],[549,3413,theory(equality)])).
% cnf(10824,negated_conjecture,(meet_commut(esk309_0,X1,esk311_0)=meet(esk309_0,X1,esk311_0)|empty_carrier(esk309_0)|~meet_semilatt_str(esk309_0)|$false|~element(X1,the_carrier(esk309_0))),inference(rw,[status(thm)],[10814,3416,theory(equality)])).
% cnf(10825,negated_conjecture,(meet_commut(esk309_0,X1,esk311_0)=meet(esk309_0,X1,esk311_0)|empty_carrier(esk309_0)|~meet_semilatt_str(esk309_0)|~element(X1,the_carrier(esk309_0))),inference(cn,[status(thm)],[10824,theory(equality)])).
% cnf(10826,negated_conjecture,(meet_commut(esk309_0,X1,esk311_0)=meet(esk309_0,X1,esk311_0)|~meet_semilatt_str(esk309_0)|~element(X1,the_carrier(esk309_0))),inference(sr,[status(thm)],[10825,3417,theory(equality)])).
% cnf(10827,negated_conjecture,(meet_commut(esk309_0,X1,esk310_0)=meet(esk309_0,X1,esk310_0)|empty_carrier(esk309_0)|~meet_semilatt_str(esk309_0)|$false|~element(X1,the_carrier(esk309_0))),inference(rw,[status(thm)],[10815,3416,theory(equality)])).
% cnf(10828,negated_conjecture,(meet_commut(esk309_0,X1,esk310_0)=meet(esk309_0,X1,esk310_0)|empty_carrier(esk309_0)|~meet_semilatt_str(esk309_0)|~element(X1,the_carrier(esk309_0))),inference(cn,[status(thm)],[10827,theory(equality)])).
% cnf(10829,negated_conjecture,(meet_commut(esk309_0,X1,esk310_0)=meet(esk309_0,X1,esk310_0)|~meet_semilatt_str(esk309_0)|~element(X1,the_carrier(esk309_0))),inference(sr,[status(thm)],[10828,3417,theory(equality)])).
% cnf(10869,negated_conjecture,(meet_commut(esk309_0,X1,esk311_0)=meet_commut(esk309_0,esk311_0,X1)|empty_carrier(esk309_0)|~meet_semilatt_str(esk309_0)|~meet_commutative(esk309_0)|~element(X1,the_carrier(esk309_0))),inference(spm,[status(thm)],[537,3412,theory(equality)])).
% cnf(10879,negated_conjecture,(meet_commut(esk309_0,X1,esk311_0)=meet_commut(esk309_0,esk311_0,X1)|empty_carrier(esk309_0)|~meet_semilatt_str(esk309_0)|$false|~element(X1,the_carrier(esk309_0))),inference(rw,[status(thm)],[10869,3416,theory(equality)])).
% cnf(10880,negated_conjecture,(meet_commut(esk309_0,X1,esk311_0)=meet_commut(esk309_0,esk311_0,X1)|empty_carrier(esk309_0)|~meet_semilatt_str(esk309_0)|~element(X1,the_carrier(esk309_0))),inference(cn,[status(thm)],[10879,theory(equality)])).
% cnf(10881,negated_conjecture,(meet_commut(esk309_0,X1,esk311_0)=meet_commut(esk309_0,esk311_0,X1)|~meet_semilatt_str(esk309_0)|~element(X1,the_carrier(esk309_0))),inference(sr,[status(thm)],[10880,3417,theory(equality)])).
% cnf(12253,negated_conjecture,(join(esk309_0,meet(esk309_0,X1,esk310_0),esk310_0)=esk310_0|empty_carrier(esk309_0)|~meet_absorbing(esk309_0)|~element(X1,the_carrier(esk309_0))|~latt_str(esk309_0)),inference(spm,[status(thm)],[546,3413,theory(equality)])).
% cnf(12266,negated_conjecture,(join(esk309_0,meet(esk309_0,X1,esk310_0),esk310_0)=esk310_0|empty_carrier(esk309_0)|$false|~element(X1,the_carrier(esk309_0))|~latt_str(esk309_0)),inference(rw,[status(thm)],[12253,3415,theory(equality)])).
% cnf(12267,negated_conjecture,(join(esk309_0,meet(esk309_0,X1,esk310_0),esk310_0)=esk310_0|empty_carrier(esk309_0)|$false|~element(X1,the_carrier(esk309_0))|$false),inference(rw,[status(thm)],[12266,3414,theory(equality)])).
% cnf(12268,negated_conjecture,(join(esk309_0,meet(esk309_0,X1,esk310_0),esk310_0)=esk310_0|empty_carrier(esk309_0)|~element(X1,the_carrier(esk309_0))),inference(cn,[status(thm)],[12267,theory(equality)])).
% cnf(12269,negated_conjecture,(join(esk309_0,meet(esk309_0,X1,esk310_0),esk310_0)=esk310_0|~element(X1,the_carrier(esk309_0))),inference(sr,[status(thm)],[12268,3417,theory(equality)])).
% cnf(107657,negated_conjecture,(join(esk309_0,meet(esk309_0,esk311_0,esk310_0),esk310_0)=esk310_0),inference(spm,[status(thm)],[12269,3412,theory(equality)])).
% cnf(108706,negated_conjecture,(meet_commut(esk309_0,X1,esk311_0)=meet_commut(esk309_0,esk311_0,X1)|$false|~element(X1,the_carrier(esk309_0))),inference(rw,[status(thm)],[10881,4903,theory(equality)])).
% cnf(108707,negated_conjecture,(meet_commut(esk309_0,X1,esk311_0)=meet_commut(esk309_0,esk311_0,X1)|~element(X1,the_carrier(esk309_0))),inference(cn,[status(thm)],[108706,theory(equality)])).
% cnf(108710,negated_conjecture,(meet_commut(esk309_0,esk310_0,esk311_0)=meet_commut(esk309_0,esk311_0,esk310_0)),inference(spm,[status(thm)],[108707,3413,theory(equality)])).
% cnf(108743,negated_conjecture,(empty_carrier(esk309_0)|element(meet_commut(esk309_0,esk310_0,esk311_0),the_carrier(esk309_0))|~meet_semilatt_str(esk309_0)|~meet_commutative(esk309_0)|~element(esk310_0,the_carrier(esk309_0))|~element(esk311_0,the_carrier(esk309_0))),inference(spm,[status(thm)],[534,108710,theory(equality)])).
% cnf(108744,negated_conjecture,(empty_carrier(esk309_0)|element(meet_commut(esk309_0,esk310_0,esk311_0),the_carrier(esk309_0))|$false|~meet_commutative(esk309_0)|~element(esk310_0,the_carrier(esk309_0))|~element(esk311_0,the_carrier(esk309_0))),inference(rw,[status(thm)],[108743,4903,theory(equality)])).
% cnf(108745,negated_conjecture,(empty_carrier(esk309_0)|element(meet_commut(esk309_0,esk310_0,esk311_0),the_carrier(esk309_0))|$false|$false|~element(esk310_0,the_carrier(esk309_0))|~element(esk311_0,the_carrier(esk309_0))),inference(rw,[status(thm)],[108744,3416,theory(equality)])).
% cnf(108746,negated_conjecture,(empty_carrier(esk309_0)|element(meet_commut(esk309_0,esk310_0,esk311_0),the_carrier(esk309_0))|$false|$false|$false|~element(esk311_0,the_carrier(esk309_0))),inference(rw,[status(thm)],[108745,3413,theory(equality)])).
% cnf(108747,negated_conjecture,(empty_carrier(esk309_0)|element(meet_commut(esk309_0,esk310_0,esk311_0),the_carrier(esk309_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[108746,3412,theory(equality)])).
% cnf(108748,negated_conjecture,(empty_carrier(esk309_0)|element(meet_commut(esk309_0,esk310_0,esk311_0),the_carrier(esk309_0))),inference(cn,[status(thm)],[108747,theory(equality)])).
% cnf(108749,negated_conjecture,(element(meet_commut(esk309_0,esk310_0,esk311_0),the_carrier(esk309_0))),inference(sr,[status(thm)],[108748,3417,theory(equality)])).
% cnf(113390,negated_conjecture,(meet_commut(esk309_0,X1,esk311_0)=meet(esk309_0,X1,esk311_0)|$false|~element(X1,the_carrier(esk309_0))),inference(rw,[status(thm)],[10826,4903,theory(equality)])).
% cnf(113391,negated_conjecture,(meet_commut(esk309_0,X1,esk311_0)=meet(esk309_0,X1,esk311_0)|~element(X1,the_carrier(esk309_0))),inference(cn,[status(thm)],[113390,theory(equality)])).
% cnf(113395,negated_conjecture,(meet_commut(esk309_0,esk310_0,esk311_0)=meet(esk309_0,esk310_0,esk311_0)),inference(spm,[status(thm)],[113391,3413,theory(equality)])).
% cnf(113549,negated_conjecture,(element(meet(esk309_0,esk310_0,esk311_0),the_carrier(esk309_0))),inference(rw,[status(thm)],[108749,113395,theory(equality)])).
% cnf(113550,negated_conjecture,(~below(esk309_0,meet(esk309_0,esk310_0,esk311_0),esk310_0)),inference(rw,[status(thm)],[3411,113395,theory(equality)])).
% cnf(116013,negated_conjecture,(meet_commut(esk309_0,X1,esk310_0)=meet(esk309_0,X1,esk310_0)|$false|~element(X1,the_carrier(esk309_0))),inference(rw,[status(thm)],[10829,4903,theory(equality)])).
% cnf(116014,negated_conjecture,(meet_commut(esk309_0,X1,esk310_0)=meet(esk309_0,X1,esk310_0)|~element(X1,the_carrier(esk309_0))),inference(cn,[status(thm)],[116013,theory(equality)])).
% cnf(116017,negated_conjecture,(meet_commut(esk309_0,esk311_0,esk310_0)=meet(esk309_0,esk311_0,esk310_0)),inference(spm,[status(thm)],[116014,3412,theory(equality)])).
% cnf(116058,negated_conjecture,(meet(esk309_0,esk310_0,esk311_0)=meet(esk309_0,esk311_0,esk310_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[116017,108710,theory(equality)]),113395,theory(equality)])).
% cnf(116090,negated_conjecture,(join(esk309_0,meet(esk309_0,esk310_0,esk311_0),esk310_0)=esk310_0),inference(rw,[status(thm)],[107657,116058,theory(equality)])).
% cnf(168959,negated_conjecture,(below(esk309_0,X1,esk310_0)|join(esk309_0,X1,esk310_0)!=esk310_0|$false|~element(X1,the_carrier(esk309_0))),inference(rw,[status(thm)],[9981,4905,theory(equality)])).
% cnf(168960,negated_conjecture,(below(esk309_0,X1,esk310_0)|join(esk309_0,X1,esk310_0)!=esk310_0|~element(X1,the_carrier(esk309_0))),inference(cn,[status(thm)],[168959,theory(equality)])).
% cnf(168975,negated_conjecture,(below(esk309_0,meet(esk309_0,esk310_0,esk311_0),esk310_0)|join(esk309_0,meet(esk309_0,esk310_0,esk311_0),esk310_0)!=esk310_0),inference(spm,[status(thm)],[168960,113549,theory(equality)])).
% cnf(169034,negated_conjecture,(below(esk309_0,meet(esk309_0,esk310_0,esk311_0),esk310_0)|$false),inference(rw,[status(thm)],[168975,116090,theory(equality)])).
% cnf(169035,negated_conjecture,(below(esk309_0,meet(esk309_0,esk310_0,esk311_0),esk310_0)),inference(cn,[status(thm)],[169034,theory(equality)])).
% cnf(169036,negated_conjecture,($false),inference(sr,[status(thm)],[169035,113550,theory(equality)])).
% cnf(169037,negated_conjecture,($false),169036,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 8835
% # ...of these trivial : 146
% # ...subsumed : 3478
% # ...remaining for further processing: 5211
% # Other redundant clauses eliminated : 663
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 14
% # Backward-rewritten : 176
% # Generated clauses : 148573
% # ...of the previous two non-trivial : 143096
% # Contextual simplify-reflections : 1059
% # Paramodulations : 147794
% # Factorizations : 17
% # Equation resolutions : 809
% # Current number of processed clauses: 3235
% # Positive orientable unit clauses: 424
% # Positive unorientable unit clauses: 3
% # Negative unit clauses : 90
% # Non-unit-clauses : 2718
% # Current number of unprocessed clauses: 132337
% # ...number of literals in the above : 795131
% # Clause-clause subsumption calls (NU) : 3281482
% # Rec. Clause-clause subsumption calls : 422272
% # Unit Clause-clause subsumption calls : 159613
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 726
% # Indexed BW rewrite successes : 77
% # Backwards rewriting index: 2256 leaves, 1.55+/-3.226 terms/leaf
% # Paramod-from index: 1033 leaves, 1.18+/-1.476 terms/leaf
% # Paramod-into index: 1841 leaves, 1.39+/-2.669 terms/leaf
% # -------------------------------------------------
% # User time : 10.480 s
% # System time : 0.258 s
% # Total time : 10.738 s
% # Maximum resident set size: 0 pages
% PrfWatch: 13.96 CPU 14.14 WC
% FINAL PrfWatch: 13.96 CPU 14.14 WC
% SZS output end Solution for /tmp/SystemOnTPTP27289/SEU304+2.tptp
%
%------------------------------------------------------------------------------