TSTP Solution File: KRS170+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KRS170+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 : Sun Jul 17 03:00:01 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 48 ( 5 unt; 0 def)
% Number of atoms : 217 ( 0 equ)
% Maximal formula atoms : 48 ( 4 avg)
% Number of connectives : 263 ( 94 ~; 142 |; 19 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 32 ( 6 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1,X2] :
( rhasLeader(X1,X2)
=> rhasHead(X1,X2) )
& ! [X1,X2] :
( rhasHead(X1,X2)
=> rhasLeader(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',the_axiom) ).
fof(axiom_0,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_0) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_1) ).
fof(axiom_2,axiom,
! [X1,X2] :
( rhasLeader(X1,X2)
<=> rhasHead(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_2) ).
fof(c_0_4,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1,X2] :
( rhasLeader(X1,X2)
=> rhasHead(X1,X2) )
& ! [X1,X2] :
( rhasHead(X1,X2)
=> rhasLeader(X1,X2) ) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
fof(c_0_5,negated_conjecture,
( ( rhasHead(esk6_0,esk7_0)
| rhasLeader(esk4_0,esk5_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( ~ rhasLeader(esk6_0,esk7_0)
| rhasLeader(esk4_0,esk5_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( rhasHead(esk6_0,esk7_0)
| ~ rhasHead(esk4_0,esk5_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( ~ rhasLeader(esk6_0,esk7_0)
| ~ rhasHead(esk4_0,esk5_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( rhasHead(esk6_0,esk7_0)
| rhasLeader(esk4_0,esk5_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( ~ rhasLeader(esk6_0,esk7_0)
| rhasLeader(esk4_0,esk5_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( rhasHead(esk6_0,esk7_0)
| ~ rhasHead(esk4_0,esk5_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( ~ rhasLeader(esk6_0,esk7_0)
| ~ rhasHead(esk4_0,esk5_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])])])])])]) ).
fof(c_0_6,plain,
! [X2,X2] :
( cowlThing(X2)
& ~ cowlNothing(X2) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_0])])])]) ).
cnf(c_0_7,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rhasHead(esk6_0,esk7_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0)
| ~ rhasHead(esk4_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X2,X2] :
( ( ~ xsd_string(X2)
| ~ xsd_integer(X2) )
& ( xsd_integer(X2)
| xsd_string(X2) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_1])])])])]) ).
cnf(c_0_10,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0)
| ~ rhasHead(esk4_0,esk5_0)
| ~ rhasLeader(esk6_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0)
| ~ rhasHead(esk4_0,esk5_0)
| ~ rhasLeader(esk6_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rhasLeader(esk4_0,esk5_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0)
| ~ rhasLeader(esk6_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_13,plain,
! [X3,X4,X3,X4] :
( ( ~ rhasLeader(X3,X4)
| rhasHead(X3,X4) )
& ( ~ rhasHead(X3,X4)
| rhasLeader(X3,X4) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])]) ).
cnf(c_0_14,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rhasHead(esk6_0,esk7_0)
| ~ xsd_integer(esk3_0)
| ~ rhasHead(esk4_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).
cnf(c_0_15,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ rhasLeader(esk6_0,esk7_0)
| ~ rhasHead(esk4_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_8])]) ).
cnf(c_0_18,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rhasHead(esk6_0,esk7_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0)
| ~ rhasHead(esk4_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| ~ xsd_string(esk3_0)
| ~ rhasLeader(esk6_0,esk7_0)
| ~ rhasHead(esk4_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_8])]) ).
cnf(c_0_20,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rhasLeader(esk4_0,esk5_0)
| ~ xsd_string(esk3_0)
| ~ rhasLeader(esk6_0,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_8])]) ).
cnf(c_0_21,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rhasLeader(esk4_0,esk5_0)
| rhasHead(esk6_0,esk7_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_22,plain,
( rhasLeader(X1,X2)
| ~ rhasHead(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,negated_conjecture,
( rhasHead(esk6_0,esk7_0)
| xsd_string(esk3_0)
| ~ rhasHead(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( xsd_string(esk3_0)
| ~ rhasHead(esk4_0,esk5_0)
| ~ rhasLeader(esk6_0,esk7_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_17]),c_0_16]) ).
cnf(c_0_25,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rhasHead(esk6_0,esk7_0)
| ~ xsd_string(esk3_0)
| ~ rhasHead(esk4_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_8])]) ).
cnf(c_0_26,negated_conjecture,
( xsd_integer(esk3_0)
| ~ rhasHead(esk4_0,esk5_0)
| ~ rhasLeader(esk6_0,esk7_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_19,c_0_15]),c_0_16]) ).
cnf(c_0_27,plain,
( rhasHead(X1,X2)
| ~ rhasLeader(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_28,negated_conjecture,
( rhasLeader(esk4_0,esk5_0)
| xsd_integer(esk3_0)
| ~ rhasLeader(esk6_0,esk7_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_20,c_0_15]),c_0_16]) ).
cnf(c_0_29,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rhasLeader(esk4_0,esk5_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0)
| ~ rhasLeader(esk6_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_30,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rhasLeader(esk4_0,esk5_0)
| rhasHead(esk6_0,esk7_0)
| ~ xsd_integer(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_8])]) ).
cnf(c_0_31,negated_conjecture,
( xsd_string(esk3_0)
| ~ rhasHead(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_32,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rhasLeader(esk4_0,esk5_0)
| rhasHead(esk6_0,esk7_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_33,negated_conjecture,
( rhasHead(esk6_0,esk7_0)
| xsd_integer(esk3_0)
| ~ rhasHead(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_25,c_0_15]),c_0_16]) ).
cnf(c_0_34,negated_conjecture,
( xsd_integer(esk3_0)
| ~ rhasLeader(esk6_0,esk7_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rhasLeader(esk4_0,esk5_0)
| ~ xsd_integer(esk3_0)
| ~ rhasLeader(esk6_0,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_8])]) ).
cnf(c_0_36,negated_conjecture,
( rhasHead(esk6_0,esk7_0)
| rhasLeader(esk4_0,esk5_0)
| xsd_string(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_30]),c_0_16]) ).
cnf(c_0_37,negated_conjecture,
( xsd_string(esk3_0)
| ~ rhasLeader(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_27]) ).
cnf(c_0_38,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rhasLeader(esk4_0,esk5_0)
| rhasHead(esk6_0,esk7_0)
| ~ xsd_string(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_8])]) ).
cnf(c_0_39,negated_conjecture,
( xsd_integer(esk3_0)
| ~ rhasHead(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_33]),c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( rhasLeader(esk4_0,esk5_0)
| xsd_string(esk3_0)
| ~ rhasLeader(esk6_0,esk7_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_35,c_0_15]),c_0_16]) ).
cnf(c_0_41,negated_conjecture,
( rhasLeader(esk6_0,esk7_0)
| xsd_string(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_36]),c_0_37]) ).
cnf(c_0_42,negated_conjecture,
( rhasHead(esk6_0,esk7_0)
| rhasLeader(esk4_0,esk5_0)
| xsd_integer(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_38]),c_0_16]) ).
cnf(c_0_43,negated_conjecture,
( xsd_integer(esk3_0)
| ~ rhasLeader(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_27]) ).
cnf(c_0_44,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_45,negated_conjecture,
xsd_string(esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_37]) ).
cnf(c_0_46,negated_conjecture,
xsd_integer(esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_42]),c_0_43]),c_0_34]) ).
cnf(c_0_47,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS170+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 15:04:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.015 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 48
% 0.23/1.41 # Proof object clause steps : 39
% 0.23/1.41 # Proof object formula steps : 9
% 0.23/1.41 # Proof object conjectures : 36
% 0.23/1.41 # Proof object clause conjectures : 33
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 14
% 0.23/1.41 # Proof object initial formulas used : 4
% 0.23/1.41 # Proof object generating inferences : 12
% 0.23/1.41 # Proof object simplifying inferences : 38
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 4
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 14
% 0.23/1.41 # Removed in clause preprocessing : 1
% 0.23/1.41 # Initial clauses in saturation : 13
% 0.23/1.41 # Processed clauses : 24
% 0.23/1.41 # ...of these trivial : 0
% 0.23/1.41 # ...subsumed : 0
% 0.23/1.41 # ...remaining for further processing : 24
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 8
% 0.23/1.41 # Backward-rewritten : 9
% 0.23/1.41 # Generated clauses : 16
% 0.23/1.41 # ...of the previous two non-trivial : 13
% 0.23/1.41 # Contextual simplify-reflections : 15
% 0.23/1.41 # Paramodulations : 16
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 7
% 0.23/1.41 # Positive orientable unit clauses : 2
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 1
% 0.23/1.41 # Non-unit-clauses : 4
% 0.23/1.41 # Current number of unprocessed clauses: 0
% 0.23/1.41 # ...number of literals in the above : 0
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 18
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 43
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 40
% 0.23/1.41 # Non-unit clause-clause subsumptions : 23
% 0.23/1.41 # Unit Clause-clause subsumption calls : 1
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 2
% 0.23/1.41 # BW rewrite match successes : 2
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 938
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.016 s
% 0.23/1.41 # System time : 0.001 s
% 0.23/1.41 # Total time : 0.017 s
% 0.23/1.41 # Maximum resident set size: 2768 pages
%------------------------------------------------------------------------------