TSTP Solution File: KRS158+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KRS158+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 02:59:58 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 57 ( 25 unt; 0 def)
% Number of atoms : 215 ( 0 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 267 ( 109 ~; 105 |; 44 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 44 ( 10 sgn 30 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_14,axiom,
! [X1] :
( cC6(X1)
<=> ( cC4xcomp(X1)
& cC2xcomp(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_14) ).
fof(axiom_5,axiom,
! [X1] :
( cC12(X1)
<=> ( cC10xcomp(X1)
& cC2xcomp(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_5) ).
fof(axiom_15,axiom,
! [X1] :
( cC8(X1)
<=> ? [X3] :
( rR1(X1,X3)
& cC6(X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_15) ).
fof(axiom_24,axiom,
cC4xcomp(iV16561),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_24) ).
fof(axiom_25,axiom,
cC2xcomp(iV16561),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_25) ).
fof(axiom_6,axiom,
! [X1] :
( cC14(X1)
<=> ? [X3] :
( rR1(X1,X3)
& cC12(X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_6) ).
fof(axiom_28,axiom,
cC10xcomp(iV16562),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_28) ).
fof(axiom_29,axiom,
cC2xcomp(iV16562),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_29) ).
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC18(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC6(iV16561)
& cowlThing(iV16561)
& cC12(iV16562)
& cowlThing(iV16562) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',the_axiom) ).
fof(axiom_8,axiom,
! [X1] :
( cC18(X1)
<=> ( cTOP(X1)
& cC16(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_8) ).
fof(axiom_7,axiom,
! [X1] :
( cC16(X1)
<=> ( cC14(X1)
& cC8(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_7) ).
fof(axiom_21,axiom,
rR1(iV16560,iV16561),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_21) ).
fof(axiom_20,axiom,
rR1(iV16560,iV16562),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_20) ).
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_19,axiom,
cTOP(iV16560),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_19) ).
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(c_0_16,plain,
! [X2,X2] :
( ( cC4xcomp(X2)
| ~ cC6(X2) )
& ( cC2xcomp(X2)
| ~ cC6(X2) )
& ( ~ cC4xcomp(X2)
| ~ cC2xcomp(X2)
| cC6(X2) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_14])])])])]) ).
fof(c_0_17,plain,
! [X2,X2] :
( ( cC10xcomp(X2)
| ~ cC12(X2) )
& ( cC2xcomp(X2)
| ~ cC12(X2) )
& ( ~ cC10xcomp(X2)
| ~ cC2xcomp(X2)
| cC12(X2) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])])])]) ).
fof(c_0_18,plain,
! [X4,X4,X6] :
( ( rR1(X4,esk5_1(X4))
| ~ cC8(X4) )
& ( cC6(esk5_1(X4))
| ~ cC8(X4) )
& ( ~ rR1(X4,X6)
| ~ cC6(X6)
| cC8(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[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)],[axiom_15])])])])])])]) ).
cnf(c_0_19,plain,
( cC6(X1)
| ~ cC2xcomp(X1)
| ~ cC4xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
cC4xcomp(iV16561),
inference(split_conjunct,[status(thm)],[axiom_24]) ).
cnf(c_0_21,plain,
cC2xcomp(iV16561),
inference(split_conjunct,[status(thm)],[axiom_25]) ).
fof(c_0_22,plain,
! [X4,X4,X6] :
( ( rR1(X4,esk4_1(X4))
| ~ cC14(X4) )
& ( cC12(esk4_1(X4))
| ~ cC14(X4) )
& ( ~ rR1(X4,X6)
| ~ cC12(X6)
| cC14(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[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)],[axiom_6])])])])])])]) ).
cnf(c_0_23,plain,
( cC12(X1)
| ~ cC2xcomp(X1)
| ~ cC10xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
cC10xcomp(iV16562),
inference(split_conjunct,[status(thm)],[axiom_28]) ).
cnf(c_0_25,plain,
cC2xcomp(iV16562),
inference(split_conjunct,[status(thm)],[axiom_29]) ).
fof(c_0_26,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC18(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC6(iV16561)
& cowlThing(iV16561)
& cC12(iV16562)
& cowlThing(iV16562) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
fof(c_0_27,plain,
! [X2,X2] :
( ( cTOP(X2)
| ~ cC18(X2) )
& ( cC16(X2)
| ~ cC18(X2) )
& ( ~ cTOP(X2)
| ~ cC16(X2)
| cC18(X2) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])])])])]) ).
fof(c_0_28,plain,
! [X2,X2] :
( ( cC14(X2)
| ~ cC16(X2) )
& ( cC8(X2)
| ~ cC16(X2) )
& ( ~ cC14(X2)
| ~ cC8(X2)
| cC16(X2) ) ),
inference(distribute,[status(thm)],[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_29,plain,
( cC8(X1)
| ~ cC6(X2)
| ~ rR1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30,plain,
rR1(iV16560,iV16561),
inference(split_conjunct,[status(thm)],[axiom_21]) ).
cnf(c_0_31,plain,
cC6(iV16561),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_32,plain,
( cC14(X1)
| ~ cC12(X2)
| ~ rR1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,plain,
rR1(iV16560,iV16562),
inference(split_conjunct,[status(thm)],[axiom_20]) ).
cnf(c_0_34,plain,
cC12(iV16562),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
fof(c_0_35,negated_conjecture,
( ( ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0)
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) )
& ( xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0)
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) ) ),
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_26])])])])])])]) ).
fof(c_0_36,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_37,plain,
( cC18(X1)
| ~ cC16(X1)
| ~ cTOP(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
cTOP(iV16560),
inference(split_conjunct,[status(thm)],[axiom_19]) ).
cnf(c_0_39,plain,
( cC16(X1)
| ~ cC8(X1)
| ~ cC14(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,plain,
cC8(iV16560),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_41,plain,
cC14(iV16560),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_42,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( cC18(iV16560)
| ~ cC16(iV16560) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,plain,
cC16(iV16560),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
fof(c_0_46,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_47,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| ~ xsd_string(esk3_0)
| ~ cC12(iV16562)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC18(iV16560)
| ~ cC6(iV16561) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43]),c_0_43]),c_0_43]),c_0_43])]) ).
cnf(c_0_48,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_49,plain,
cC18(iV16560),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]) ).
cnf(c_0_50,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_52,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,negated_conjecture,
xsd_integer(esk3_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_34])]),c_0_48]),c_0_31]),c_0_49]),c_0_40]),c_0_45]),c_0_41])]),c_0_50]) ).
cnf(c_0_54,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cC12(iV16562)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC18(iV16560)
| ~ cC6(iV16561) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_43]),c_0_43]),c_0_43]),c_0_43])]) ).
cnf(c_0_55,negated_conjecture,
~ xsd_string(esk3_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_34])]),c_0_48]),c_0_31]),c_0_49]),c_0_40]),c_0_45]),c_0_41]),c_0_53])]),c_0_55]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS158+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n024.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 : Tue Jun 7 14:13:34 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 : 0.016 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 : 57
% 0.22/1.40 # Proof object clause steps : 31
% 0.22/1.40 # Proof object formula steps : 26
% 0.22/1.40 # Proof object conjectures : 10
% 0.22/1.40 # Proof object clause conjectures : 7
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 19
% 0.22/1.40 # Proof object initial formulas used : 16
% 0.22/1.40 # Proof object generating inferences : 7
% 0.22/1.40 # Proof object simplifying inferences : 43
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 31
% 0.22/1.40 # Removed by relevancy pruning/SinE : 12
% 0.22/1.40 # Initial clauses : 34
% 0.22/1.40 # Removed in clause preprocessing : 4
% 0.22/1.40 # Initial clauses in saturation : 30
% 0.22/1.40 # Processed clauses : 43
% 0.22/1.40 # ...of these trivial : 2
% 0.22/1.40 # ...subsumed : 0
% 0.22/1.40 # ...remaining for further processing : 40
% 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 : 0
% 0.22/1.40 # Backward-rewritten : 3
% 0.22/1.40 # Generated clauses : 23
% 0.22/1.40 # ...of the previous two non-trivial : 16
% 0.22/1.40 # Contextual simplify-reflections : 1
% 0.22/1.40 # Paramodulations : 23
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 37
% 0.22/1.40 # Positive orientable unit clauses : 14
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 2
% 0.22/1.40 # Non-unit-clauses : 21
% 0.22/1.40 # Current number of unprocessed clauses: 1
% 0.22/1.40 # ...number of literals in the above : 3
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 4
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 82
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 58
% 0.22/1.40 # Non-unit clause-clause subsumptions : 1
% 0.22/1.40 # Unit Clause-clause subsumption calls : 52
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 2
% 0.22/1.40 # BW rewrite match successes : 2
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 1901
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.017 s
% 0.22/1.40 # System time : 0.001 s
% 0.22/1.40 # Total time : 0.018 s
% 0.22/1.40 # Maximum resident set size: 3024 pages
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