TSTP Solution File: KRS172+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KRS172+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 0.25s 1.42s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 50 ( 7 unt; 0 def)
% Number of atoms : 168 ( 9 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 190 ( 72 ~; 91 |; 16 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 58 ( 8 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4,X5] :
( rq(X4,X5)
<=> rp(X4,X5) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',the_axiom) ).
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_0) ).
fof(axiom_1,axiom,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_1) ).
fof(axiom_7,axiom,
! [X4,X5] :
( rq(X4,X5)
=> cd(X4) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_7) ).
fof(axiom_5,axiom,
! [X4,X5] :
( rp(X4,X5)
=> cd(X4) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_5) ).
fof(axiom_3,axiom,
! [X4] :
( cd(X4)
<=> rp(X4,iv) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_3) ).
fof(axiom_6,axiom,
! [X4,X5,X6] :
( ( rq(X4,X5)
& rq(X4,X6) )
=> X5 = X6 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_6) ).
fof(axiom_2,axiom,
! [X4] :
( cd(X4)
<=> rq(X4,iv) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_2) ).
fof(axiom_4,axiom,
! [X4,X5,X6] :
( ( rp(X4,X5)
& rp(X4,X6) )
=> X5 = X6 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_4) ).
fof(c_0_9,negated_conjecture,
~ ( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4,X5] :
( rq(X4,X5)
<=> rp(X4,X5) ) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
fof(c_0_10,negated_conjecture,
( ( ~ rq(esk4_0,esk5_0)
| ~ rp(esk4_0,esk5_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( rq(esk4_0,esk5_0)
| rp(esk4_0,esk5_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( ~ rq(esk4_0,esk5_0)
| ~ rp(esk4_0,esk5_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( rq(esk4_0,esk5_0)
| rp(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_9])])])])])])]) ).
fof(c_0_11,plain,
! [X5,X5] :
( cowlThing(X5)
& ~ cowlNothing(X5) ),
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_12,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rp(esk4_0,esk5_0)
| rq(esk4_0,esk5_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X5,X5] :
( ( ~ xsd_string(X5)
| ~ xsd_integer(X5) )
& ( xsd_integer(X5)
| xsd_string(X5) ) ),
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_15,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rp(esk4_0,esk5_0)
| rq(esk4_0,esk5_0)
| ~ xsd_string(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).
cnf(c_0_17,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rp(esk4_0,esk5_0)
| rq(esk4_0,esk5_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( xsd_integer(esk3_0)
| rq(esk4_0,esk5_0)
| rp(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
fof(c_0_21,plain,
! [X6,X7] :
( ~ rq(X6,X7)
| cd(X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])])]) ).
cnf(c_0_22,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rp(esk4_0,esk5_0)
| rq(esk4_0,esk5_0)
| ~ xsd_integer(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_13])]) ).
cnf(c_0_23,negated_conjecture,
( rq(esk4_0,esk5_0)
| rp(esk4_0,esk5_0)
| ~ xsd_string(esk3_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_24,plain,
! [X6,X7] :
( ~ rp(X6,X7)
| cd(X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])])]) ).
cnf(c_0_25,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,esk5_0)
| ~ rq(esk4_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_26,plain,
! [X5,X5] :
( ( ~ cd(X5)
| rp(X5,iv) )
& ( ~ rp(X5,iv)
| cd(X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])])]) ).
cnf(c_0_27,plain,
( cd(X1)
| ~ rq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( rq(esk4_0,esk5_0)
| rp(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_22]),c_0_17]),c_0_23]) ).
cnf(c_0_29,plain,
( cd(X1)
| ~ rp(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,esk5_0)
| ~ rq(esk4_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,esk5_0)
| ~ rq(esk4_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_13])]) ).
fof(c_0_32,plain,
! [X7,X8,X9] :
( ~ rq(X7,X8)
| ~ rq(X7,X9)
| X8 = X9 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])]) ).
fof(c_0_33,plain,
! [X5,X5] :
( ( ~ cd(X5)
| rq(X5,iv) )
& ( ~ rq(X5,iv)
| cd(X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])]) ).
fof(c_0_34,plain,
! [X7,X8,X9] :
( ~ rp(X7,X8)
| ~ rp(X7,X9)
| X8 = X9 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])]) ).
cnf(c_0_35,plain,
( rp(X1,iv)
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,negated_conjecture,
cd(esk4_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_37,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,esk5_0)
| ~ rq(esk4_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_13])]) ).
cnf(c_0_38,negated_conjecture,
( xsd_string(esk3_0)
| ~ rq(esk4_0,esk5_0)
| ~ rp(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_31,c_0_15]),c_0_17]) ).
cnf(c_0_39,plain,
( X1 = X2
| ~ rq(X3,X2)
| ~ rq(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
( rq(X1,iv)
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
( X1 = X2
| ~ rp(X3,X2)
| ~ rp(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,negated_conjecture,
rp(esk4_0,iv),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,negated_conjecture,
( xsd_integer(esk3_0)
| ~ rq(esk4_0,esk5_0)
| ~ rp(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_37]),c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( X1 = esk5_0
| rp(esk4_0,esk5_0)
| ~ rq(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_28]) ).
cnf(c_0_45,negated_conjecture,
rq(esk4_0,iv),
inference(spm,[status(thm)],[c_0_40,c_0_36]) ).
cnf(c_0_46,negated_conjecture,
( X1 = iv
| ~ rp(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( ~ rq(esk4_0,esk5_0)
| ~ rp(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_43]),c_0_38]) ).
cnf(c_0_48,negated_conjecture,
esk5_0 = iv,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_49,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48]),c_0_45]),c_0_48]),c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS172+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 7 08:45:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.25/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.42 # Preprocessing time : 0.015 s
% 0.25/1.42
% 0.25/1.42 # Proof found!
% 0.25/1.42 # SZS status Theorem
% 0.25/1.42 # SZS output start CNFRefutation
% See solution above
% 0.25/1.42 # Proof object total steps : 50
% 0.25/1.42 # Proof object clause steps : 31
% 0.25/1.42 # Proof object formula steps : 19
% 0.25/1.42 # Proof object conjectures : 24
% 0.25/1.42 # Proof object clause conjectures : 21
% 0.25/1.42 # Proof object formula conjectures : 3
% 0.25/1.42 # Proof object initial clauses used : 14
% 0.25/1.42 # Proof object initial formulas used : 9
% 0.25/1.42 # Proof object generating inferences : 11
% 0.25/1.42 # Proof object simplifying inferences : 22
% 0.25/1.42 # Training examples: 0 positive, 0 negative
% 0.25/1.42 # Parsed axioms : 19
% 0.25/1.42 # Removed by relevancy pruning/SinE : 0
% 0.25/1.42 # Initial clauses : 26
% 0.25/1.42 # Removed in clause preprocessing : 11
% 0.25/1.42 # Initial clauses in saturation : 15
% 0.25/1.42 # Processed clauses : 27
% 0.25/1.42 # ...of these trivial : 0
% 0.25/1.42 # ...subsumed : 0
% 0.25/1.42 # ...remaining for further processing : 27
% 0.25/1.42 # Other redundant clauses eliminated : 0
% 0.25/1.42 # Clauses deleted for lack of memory : 0
% 0.25/1.42 # Backward-subsumed : 9
% 0.25/1.42 # Backward-rewritten : 3
% 0.25/1.42 # Generated clauses : 22
% 0.25/1.42 # ...of the previous two non-trivial : 15
% 0.25/1.42 # Contextual simplify-reflections : 8
% 0.25/1.42 # Paramodulations : 22
% 0.25/1.42 # Factorizations : 0
% 0.25/1.42 # Equation resolutions : 0
% 0.25/1.42 # Current number of processed clauses : 15
% 0.25/1.42 # Positive orientable unit clauses : 4
% 0.25/1.42 # Positive unorientable unit clauses: 0
% 0.25/1.42 # Negative unit clauses : 1
% 0.25/1.42 # Non-unit-clauses : 10
% 0.25/1.42 # Current number of unprocessed clauses: 0
% 0.25/1.42 # ...number of literals in the above : 0
% 0.25/1.42 # Current number of archived formulas : 0
% 0.25/1.42 # Current number of archived clauses : 13
% 0.25/1.42 # Clause-clause subsumption calls (NU) : 76
% 0.25/1.42 # Rec. Clause-clause subsumption calls : 60
% 0.25/1.42 # Non-unit clause-clause subsumptions : 17
% 0.25/1.42 # Unit Clause-clause subsumption calls : 4
% 0.25/1.42 # Rewrite failures with RHS unbound : 0
% 0.25/1.42 # BW rewrite match attempts : 1
% 0.25/1.42 # BW rewrite match successes : 1
% 0.25/1.42 # Condensation attempts : 0
% 0.25/1.42 # Condensation successes : 0
% 0.25/1.42 # Termbank termtop insertions : 1675
% 0.25/1.42
% 0.25/1.42 # -------------------------------------------------
% 0.25/1.42 # User time : 0.015 s
% 0.25/1.42 # System time : 0.002 s
% 0.25/1.42 # Total time : 0.017 s
% 0.25/1.42 # Maximum resident set size: 2788 pages
%------------------------------------------------------------------------------