TSTP Solution File: REL004+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : REL004+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 19:18:54 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 7
% Syntax : Number of formulae : 78 ( 78 unt; 0 def)
% Number of atoms : 78 ( 77 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 148 ( 3 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X1,X2] : X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).
fof(maddux1_join_commutativity,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(maddux2_join_associativity,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
fof(converse_cancellativity,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(converse_additivity,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(goals,conjecture,
! [X1] : converse(complement(X1)) = complement(converse(X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(c_0_7,plain,
! [X3,X4] : X3 = join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),
inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).
fof(c_0_8,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_0_9,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_0_12,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_15,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_10]),c_0_13]) ).
cnf(c_0_16,plain,
join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_17,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X1),complement(X2)))) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_10]) ).
cnf(c_0_18,plain,
join(complement(join(complement(X1),X2)),join(X3,complement(join(complement(X1),complement(X2))))) = join(X3,X1),
inference(spm,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_19,plain,
join(X1,complement(join(complement(complement(X1)),complement(X2)))) = join(X2,complement(join(complement(X1),X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_10]) ).
cnf(c_0_20,plain,
join(X1,complement(join(complement(X2),X1))) = join(X2,complement(join(X2,complement(X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_17]),c_0_10]),c_0_10]) ).
cnf(c_0_21,plain,
join(complement(complement(X1)),complement(join(complement(complement(X1)),complement(complement(X1))))) = join(complement(X1),complement(join(complement(X1),complement(X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_10]),c_0_20]) ).
cnf(c_0_22,plain,
join(complement(complement(X1)),join(complement(join(complement(complement(X1)),complement(complement(X1)))),X2)) = join(complement(X1),join(complement(join(complement(X1),complement(X1))),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_21]),c_0_13]) ).
cnf(c_0_23,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X2),X1))) = X2,
inference(spm,[status(thm)],[c_0_10,c_0_14]) ).
cnf(c_0_24,plain,
join(complement(X1),complement(complement(X1))) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_14]),c_0_10]),c_0_10]) ).
cnf(c_0_25,plain,
join(complement(join(X1,complement(X1))),complement(join(X1,complement(complement(X1))))) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_10]) ).
cnf(c_0_26,plain,
complement(complement(X1)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_25]) ).
cnf(c_0_27,plain,
join(complement(X1),complement(join(complement(X2),complement(X1)))) = join(X2,complement(join(X2,X1))),
inference(spm,[status(thm)],[c_0_20,c_0_26]) ).
cnf(c_0_28,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_12,c_0_10]) ).
fof(c_0_29,plain,
! [X3,X4] : join(composition(converse(X3),complement(composition(X3,X4))),complement(X4)) = complement(X4),
inference(variable_rename,[status(thm)],[converse_cancellativity]) ).
cnf(c_0_30,plain,
join(complement(X1),join(complement(join(complement(X2),complement(X1))),X3)) = join(X2,join(complement(join(X2,X1)),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_27]),c_0_13]) ).
cnf(c_0_31,plain,
join(complement(join(X1,X2)),complement(join(X2,complement(X1)))) = complement(X2),
inference(spm,[status(thm)],[c_0_28,c_0_26]) ).
cnf(c_0_32,plain,
join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_14,c_0_26]) ).
cnf(c_0_33,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
join(X1,complement(X1)) = join(X2,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_26]),c_0_10]),c_0_26]),c_0_32]) ).
cnf(c_0_35,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_10,c_0_28]) ).
cnf(c_0_36,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_33,c_0_10]) ).
cnf(c_0_37,plain,
join(X1,join(complement(X1),X2)) = join(X3,join(complement(X3),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_34]),c_0_13]) ).
cnf(c_0_38,plain,
join(complement(join(X1,complement(X2))),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_35,c_0_26]) ).
cnf(c_0_39,plain,
join(complement(X1),join(X2,composition(converse(X3),complement(composition(X3,X1))))) = join(X2,complement(X1)),
inference(spm,[status(thm)],[c_0_15,c_0_36]) ).
cnf(c_0_40,plain,
join(X1,join(complement(X1),complement(join(X2,X3)))) = join(X3,join(complement(X2),complement(X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_13]) ).
cnf(c_0_41,plain,
join(X1,complement(join(complement(X2),X1))) = join(X2,complement(join(complement(X1),X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_23]),c_0_10]) ).
cnf(c_0_42,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_10,c_0_13]) ).
cnf(c_0_43,plain,
join(X1,composition(converse(X2),complement(composition(X2,join(complement(X1),X3))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_39]),c_0_10]),c_0_12]) ).
cnf(c_0_44,plain,
join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_12,c_0_26]) ).
cnf(c_0_45,plain,
join(X1,complement(X1)) = join(X2,join(X3,complement(join(X2,X3)))),
inference(spm,[status(thm)],[c_0_13,c_0_34]) ).
cnf(c_0_46,plain,
join(X1,join(X2,complement(join(X1,X2)))) = join(X1,join(complement(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_26]),c_0_26]),c_0_26]),c_0_42]) ).
cnf(c_0_47,plain,
join(X1,composition(converse(X2),complement(composition(X2,complement(X1))))) = X1,
inference(spm,[status(thm)],[c_0_43,c_0_43]) ).
cnf(c_0_48,plain,
join(X1,complement(join(complement(X2),join(X1,complement(join(X1,X2)))))) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_44]),c_0_26]),c_0_26]),c_0_26]),c_0_42]),c_0_10]) ).
cnf(c_0_49,plain,
join(X1,complement(X1)) = join(X2,join(complement(X2),X3)),
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_50,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_51,plain,
join(X1,join(composition(converse(X2),complement(composition(X2,complement(X1)))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_13,c_0_47]) ).
cnf(c_0_52,plain,
join(X1,complement(join(X2,complement(X2)))) = join(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_26]),c_0_10]),c_0_26]) ).
cnf(c_0_53,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_54,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_55,plain,
join(X1,complement(join(X2,complement(X2)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_51]),c_0_47]) ).
cnf(c_0_56,plain,
join(converse(X1),converse(complement(X1))) = join(converse(X2),converse(complement(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_34]),c_0_53]) ).
cnf(c_0_57,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_58,plain,
join(complement(join(complement(X1),complement(X2))),join(X3,complement(join(complement(X2),X1)))) = join(X3,X2),
inference(spm,[status(thm)],[c_0_42,c_0_14]) ).
cnf(c_0_59,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[c_0_52,c_0_55]) ).
cnf(c_0_60,plain,
join(complement(join(complement(X1),X2)),complement(join(X2,X1))) = complement(X2),
inference(spm,[status(thm)],[c_0_23,c_0_26]) ).
cnf(c_0_61,plain,
join(converse(X1),converse(complement(X1))) = join(X2,converse(complement(converse(X2)))),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_26]),c_0_10]) ).
cnf(c_0_63,plain,
join(X1,converse(complement(converse(X1)))) = join(X2,converse(complement(converse(X2)))),
inference(spm,[status(thm)],[c_0_61,c_0_61]) ).
cnf(c_0_64,plain,
join(X1,complement(join(X2,converse(complement(converse(X2)))))) = X1,
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_65,plain,
complement(join(X1,complement(converse(complement(converse(X1)))))) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_64]),c_0_10]) ).
cnf(c_0_66,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_65]),c_0_26]) ).
cnf(c_0_67,plain,
join(converse(X1),complement(converse(complement(X1)))) = converse(X1),
inference(spm,[status(thm)],[c_0_66,c_0_57]) ).
cnf(c_0_68,plain,
join(complement(join(X1,X2)),complement(join(complement(X1),X2))) = complement(X2),
inference(spm,[status(thm)],[c_0_17,c_0_26]) ).
cnf(c_0_69,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_67]),c_0_57]),c_0_57]) ).
cnf(c_0_70,plain,
complement(converse(complement(converse(complement(X1))))) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_64]) ).
fof(c_0_71,negated_conjecture,
~ ! [X1] : converse(complement(X1)) = complement(converse(X1)),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_72,plain,
converse(complement(converse(complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_70]),c_0_26]) ).
fof(c_0_73,negated_conjecture,
converse(complement(esk1_0)) != complement(converse(esk1_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])]) ).
cnf(c_0_74,plain,
complement(converse(complement(X1))) = converse(X1),
inference(spm,[status(thm)],[c_0_57,c_0_72]) ).
cnf(c_0_75,negated_conjecture,
converse(complement(esk1_0)) != complement(converse(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_76,plain,
complement(converse(X1)) = converse(complement(X1)),
inference(spm,[status(thm)],[c_0_26,c_0_74]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL004+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 11:59:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.014 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 78
% 0.22/1.40 # Proof object clause steps : 63
% 0.22/1.40 # Proof object formula steps : 15
% 0.22/1.40 # Proof object conjectures : 5
% 0.22/1.40 # Proof object clause conjectures : 2
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 7
% 0.22/1.40 # Proof object initial formulas used : 7
% 0.22/1.40 # Proof object generating inferences : 51
% 0.22/1.40 # Proof object simplifying inferences : 51
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 14
% 0.22/1.40 # Removed by relevancy pruning/SinE : 4
% 0.22/1.40 # Initial clauses : 10
% 0.22/1.40 # Removed in clause preprocessing : 0
% 0.22/1.40 # Initial clauses in saturation : 10
% 0.22/1.40 # Processed clauses : 1440
% 0.22/1.40 # ...of these trivial : 547
% 0.22/1.40 # ...subsumed : 594
% 0.22/1.40 # ...remaining for further processing : 299
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 1
% 0.22/1.40 # Backward-rewritten : 160
% 0.22/1.40 # Generated clauses : 47839
% 0.22/1.40 # ...of the previous two non-trivial : 44373
% 0.22/1.40 # Contextual simplify-reflections : 0
% 0.22/1.40 # Paramodulations : 47839
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 138
% 0.22/1.40 # Positive orientable unit clauses : 82
% 0.22/1.40 # Positive unorientable unit clauses: 56
% 0.22/1.40 # Negative unit clauses : 0
% 0.22/1.40 # Non-unit-clauses : 0
% 0.22/1.40 # Current number of unprocessed clauses: 20970
% 0.22/1.40 # ...number of literals in the above : 20970
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 161
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 0
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 0
% 0.22/1.40 # Non-unit clause-clause subsumptions : 0
% 0.22/1.40 # Unit Clause-clause subsumption calls : 891
% 0.22/1.40 # Rewrite failures with RHS unbound : 82
% 0.22/1.40 # BW rewrite match attempts : 4094
% 0.22/1.40 # BW rewrite match successes : 465
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 995247
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.662 s
% 0.22/1.40 # System time : 0.023 s
% 0.22/1.40 # Total time : 0.685 s
% 0.22/1.40 # Maximum resident set size: 46636 pages
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