TSTP Solution File: KRS150+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KRS150+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.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 02:59:56 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 60 ( 29 unt; 0 def)
% Number of atoms : 217 ( 0 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 276 ( 119 ~; 104 |; 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_16,axiom,
~ cC4(iV16561),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_16) ).
fof(axiom_8,axiom,
! [X1] :
( cC6(X1)
<=> ( ~ cC2(X1)
& ~ cC4(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_8) ).
fof(axiom_19,axiom,
~ cC2(iV16561),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_19) ).
fof(axiom_20,axiom,
~ cC10(iV16562),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_20) ).
fof(axiom_3,axiom,
! [X1] :
( cC12(X1)
<=> ( ~ cC2(X1)
& ~ cC10(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_3) ).
fof(axiom_21,axiom,
~ cC2(iV16562),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_21) ).
fof(axiom_9,axiom,
! [X1] :
( cC8(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC6(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_9) ).
fof(axiom_4,axiom,
! [X1] :
( cC14(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC12(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_4) ).
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC18(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cowlThing(iV16561)
& cC6(iV16561)
& cowlThing(iV16562)
& cC12(iV16562) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',the_axiom) ).
fof(axiom_5,axiom,
! [X1] :
( cC16(X1)
<=> ( cC14(X1)
& cC8(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_5) ).
fof(axiom_15,axiom,
rR1(iV16560,iV16561),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_15) ).
fof(axiom_14,axiom,
rR1(iV16560,iV16562),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_14) ).
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_6,axiom,
! [X1] :
( cC18(X1)
<=> ( cTOP(X1)
& cC16(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_6) ).
fof(axiom_11,axiom,
cTOP(iV16560),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_11) ).
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,
~ cC4(iV16561),
inference(fof_simplification,[status(thm)],[axiom_16]) ).
fof(c_0_17,plain,
! [X2,X2] :
( ( ~ cC2(X2)
| ~ cC6(X2) )
& ( ~ cC4(X2)
| ~ cC6(X2) )
& ( cC2(X2)
| cC4(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)],[inference(fof_simplification,[status(thm)],[axiom_8])])])])])]) ).
fof(c_0_18,plain,
~ cC2(iV16561),
inference(fof_simplification,[status(thm)],[axiom_19]) ).
fof(c_0_19,plain,
~ cC10(iV16562),
inference(fof_simplification,[status(thm)],[axiom_20]) ).
fof(c_0_20,plain,
! [X2,X2] :
( ( ~ cC2(X2)
| ~ cC12(X2) )
& ( ~ cC10(X2)
| ~ cC12(X2) )
& ( cC2(X2)
| cC10(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)],[inference(fof_simplification,[status(thm)],[axiom_3])])])])])]) ).
fof(c_0_21,plain,
~ cC2(iV16562),
inference(fof_simplification,[status(thm)],[axiom_21]) ).
fof(c_0_22,plain,
! [X3,X3,X5] :
( ( rR1(X3,esk5_1(X3))
| ~ cC8(X3) )
& ( cC6(esk5_1(X3))
| ~ cC8(X3) )
& ( ~ rR1(X3,X5)
| ~ cC6(X5)
| cC8(X3) ) ),
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_9])])])])])])]) ).
cnf(c_0_23,plain,
~ cC4(iV16561),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( cC6(X1)
| cC4(X1)
| cC2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
~ cC2(iV16561),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_26,plain,
! [X3,X3,X5] :
( ( rR1(X3,esk4_1(X3))
| ~ cC14(X3) )
& ( cC12(esk4_1(X3))
| ~ cC14(X3) )
& ( ~ rR1(X3,X5)
| ~ cC12(X5)
| cC14(X3) ) ),
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_4])])])])])])]) ).
cnf(c_0_27,plain,
~ cC10(iV16562),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
( cC12(X1)
| cC10(X1)
| cC2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
~ cC2(iV16562),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_30,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC18(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cowlThing(iV16561)
& cC6(iV16561)
& cowlThing(iV16562)
& cC12(iV16562) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
fof(c_0_31,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_5])])])])]) ).
cnf(c_0_32,plain,
( cC8(X1)
| ~ cC6(X2)
| ~ rR1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,plain,
rR1(iV16560,iV16561),
inference(split_conjunct,[status(thm)],[axiom_15]) ).
cnf(c_0_34,plain,
cC6(iV16561),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_35,plain,
( cC14(X1)
| ~ cC12(X2)
| ~ rR1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
rR1(iV16560,iV16562),
inference(split_conjunct,[status(thm)],[axiom_14]) ).
cnf(c_0_37,plain,
cC12(iV16562),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
fof(c_0_38,negated_conjecture,
( ( ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) )
& ( xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(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_30])])])])])])]) ).
fof(c_0_39,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])])])]) ).
fof(c_0_40,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_6])])])])]) ).
cnf(c_0_41,plain,
( cC16(X1)
| ~ cC8(X1)
| ~ cC14(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,plain,
cC8(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_43,plain,
cC14(iV16560),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_44,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
( cC18(X1)
| ~ cC16(X1)
| ~ cTOP(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,plain,
cTOP(iV16560),
inference(split_conjunct,[status(thm)],[axiom_11]) ).
cnf(c_0_48,plain,
cC16(iV16560),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
fof(c_0_49,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_50,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cowlThing(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_51,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_44,c_0_45]),c_0_45]),c_0_45]),c_0_45])]) ).
cnf(c_0_52,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_53,plain,
cC18(iV16560),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_54,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,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_50,c_0_45]),c_0_45]),c_0_45]),c_0_45])]) ).
cnf(c_0_56,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_51,c_0_37])]),c_0_52]),c_0_34]),c_0_53]),c_0_42]),c_0_48]),c_0_43])]),c_0_54]) ).
cnf(c_0_57,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_58,negated_conjecture,
xsd_string(esk3_0),
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_55,c_0_37])]),c_0_52]),c_0_34]),c_0_53]),c_0_42]),c_0_48]),c_0_43]),c_0_56])]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_56]),c_0_58])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS150+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n017.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 16:00:02 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41 # Preprocessing time : 0.017 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 60
% 0.24/1.41 # Proof object clause steps : 30
% 0.24/1.41 # Proof object formula steps : 30
% 0.24/1.41 # Proof object conjectures : 10
% 0.24/1.41 # Proof object clause conjectures : 7
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 19
% 0.24/1.41 # Proof object initial formulas used : 16
% 0.24/1.41 # Proof object generating inferences : 7
% 0.24/1.41 # Proof object simplifying inferences : 42
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 25
% 0.24/1.41 # Removed by relevancy pruning/SinE : 2
% 0.24/1.41 # Initial clauses : 42
% 0.24/1.41 # Removed in clause preprocessing : 4
% 0.24/1.41 # Initial clauses in saturation : 38
% 0.24/1.41 # Processed clauses : 56
% 0.24/1.41 # ...of these trivial : 3
% 0.24/1.41 # ...subsumed : 2
% 0.24/1.41 # ...remaining for further processing : 50
% 0.24/1.41 # Other redundant clauses eliminated : 0
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 0
% 0.24/1.41 # Backward-rewritten : 2
% 0.24/1.41 # Generated clauses : 52
% 0.24/1.41 # ...of the previous two non-trivial : 43
% 0.24/1.41 # Contextual simplify-reflections : 1
% 0.24/1.41 # Paramodulations : 52
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 0
% 0.24/1.41 # Current number of processed clauses : 48
% 0.24/1.41 # Positive orientable unit clauses : 13
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 7
% 0.24/1.41 # Non-unit-clauses : 28
% 0.24/1.41 # Current number of unprocessed clauses: 23
% 0.24/1.41 # ...number of literals in the above : 57
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 3
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 165
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 134
% 0.24/1.41 # Non-unit clause-clause subsumptions : 1
% 0.24/1.41 # Unit Clause-clause subsumption calls : 182
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 1
% 0.24/1.41 # BW rewrite match successes : 1
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 2502
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.017 s
% 0.24/1.41 # System time : 0.003 s
% 0.24/1.41 # Total time : 0.020 s
% 0.24/1.41 # Maximum resident set size: 3024 pages
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