TSTP Solution File: KRS171+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : KRS171+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 : 300s
% DateTime : Mon May 20 23:16:40 EDT 2024
% Result : Theorem 0.21s 0.52s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 5 unt; 0 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 138 ( 53 ~; 64 |; 13 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 30 ( 2 sgn 22 !; 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) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
! [X1,X2] :
( rhasHead(X1,X2)
=> rhasLeader(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X1,X2] :
( rhasLeader(X1,X2)
=> rhasHead(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(c_0_5,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1,X2] :
( rhasLeader(X1,X2)
<=> rhasHead(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_6,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_7,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_8,negated_conjecture,
( ( ~ rhasLeader(esk3_0,esk4_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rhasLeader(esk3_0,esk4_0)
| rhasHead(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ rhasLeader(esk3_0,esk4_0)
| ~ rhasHead(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rhasLeader(esk3_0,esk4_0)
| rhasHead(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
fof(c_0_9,plain,
! [X12] :
( cowlThing(X12)
& ~ cowlNothing(X12) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_6])]) ).
fof(c_0_10,plain,
! [X11] :
( ( ~ xsd_string(X11)
| ~ xsd_integer(X11) )
& ( xsd_integer(X11)
| xsd_string(X11) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_11,plain,
! [X7,X8] :
( ~ rhasHead(X7,X8)
| rhasLeader(X7,X8) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])]) ).
cnf(c_0_12,negated_conjecture,
( rhasLeader(esk3_0,esk4_0)
| rhasHead(esk3_0,esk4_0)
| xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
( rhasLeader(esk3_0,esk4_0)
| rhasHead(esk3_0,esk4_0)
| xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( rhasLeader(X1,X2)
| ~ rhasHead(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
( xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ rhasLeader(esk3_0,esk4_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,negated_conjecture,
( xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ rhasLeader(esk3_0,esk4_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_20,plain,
! [X9,X10] :
( ~ rhasLeader(X9,X10)
| rhasHead(X9,X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
cnf(c_0_21,negated_conjecture,
( rhasLeader(esk3_0,esk4_0)
| rhasHead(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( rhasLeader(esk3_0,esk4_0)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_13])]),c_0_14]),c_0_16]),c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( xsd_string(esk2_0)
| ~ rhasLeader(esk3_0,esk4_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_13])]),c_0_14]) ).
cnf(c_0_24,negated_conjecture,
( xsd_integer(esk2_0)
| ~ rhasLeader(esk3_0,esk4_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_string(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_13])]),c_0_14]) ).
cnf(c_0_25,plain,
( rhasHead(X1,X2)
| ~ rhasLeader(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( rhasLeader(esk3_0,esk4_0)
| rhasHead(esk3_0,esk4_0)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( xsd_string(esk2_0)
| ~ rhasHead(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_17]),c_0_16]) ).
cnf(c_0_28,negated_conjecture,
( xsd_integer(esk2_0)
| ~ rhasHead(esk3_0,esk4_0)
| ~ xsd_string(esk2_0) ),
inference(csr,[status(thm)],[c_0_24,c_0_22]) ).
cnf(c_0_29,negated_conjecture,
xsd_string(esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_30,negated_conjecture,
( rhasHead(esk3_0,esk4_0)
| xsd_integer(esk2_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
cnf(c_0_31,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,negated_conjecture,
xsd_integer(esk2_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]),c_0_30]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS171+1 : TPTP v8.2.0. Released v3.1.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 22:24:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.52 # Version: 3.1.0
% 0.21/0.52 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.52 # Starting sh5l with 300s (1) cores
% 0.21/0.52 # new_bool_3 with pid 7084 completed with status 0
% 0.21/0.52 # Result found by new_bool_3
% 0.21/0.52 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.52 # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.21/0.52 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.52 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.52 # SAT001_MinMin_p005000_rr_RG with pid 7087 completed with status 0
% 0.21/0.52 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.52 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.52 # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.21/0.52 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.52 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.52 # Preprocessing time : 0.001 s
% 0.21/0.52 # Presaturation interreduction done
% 0.21/0.52
% 0.21/0.52 # Proof found!
% 0.21/0.52 # SZS status Theorem
% 0.21/0.52 # SZS output start CNFRefutation
% See solution above
% 0.21/0.52 # Parsed axioms : 5
% 0.21/0.52 # Removed by relevancy pruning/SinE : 0
% 0.21/0.52 # Initial clauses : 10
% 0.21/0.52 # Removed in clause preprocessing : 0
% 0.21/0.52 # Initial clauses in saturation : 10
% 0.21/0.52 # Processed clauses : 24
% 0.21/0.52 # ...of these trivial : 0
% 0.21/0.52 # ...subsumed : 0
% 0.21/0.52 # ...remaining for further processing : 24
% 0.21/0.52 # Other redundant clauses eliminated : 0
% 0.21/0.52 # Clauses deleted for lack of memory : 0
% 0.21/0.52 # Backward-subsumed : 1
% 0.21/0.52 # Backward-rewritten : 5
% 0.21/0.52 # Generated clauses : 8
% 0.21/0.52 # ...of the previous two non-redundant : 4
% 0.21/0.52 # ...aggressively subsumed : 0
% 0.21/0.52 # Contextual simplify-reflections : 7
% 0.21/0.52 # Paramodulations : 8
% 0.21/0.52 # Factorizations : 0
% 0.21/0.52 # NegExts : 0
% 0.21/0.52 # Equation resolutions : 0
% 0.21/0.52 # Disequality decompositions : 0
% 0.21/0.52 # Total rewrite steps : 10
% 0.21/0.52 # ...of those cached : 7
% 0.21/0.52 # Propositional unsat checks : 0
% 0.21/0.52 # Propositional check models : 0
% 0.21/0.52 # Propositional check unsatisfiable : 0
% 0.21/0.52 # Propositional clauses : 0
% 0.21/0.52 # Propositional clauses after purity: 0
% 0.21/0.52 # Propositional unsat core size : 0
% 0.21/0.52 # Propositional preprocessing time : 0.000
% 0.21/0.52 # Propositional encoding time : 0.000
% 0.21/0.52 # Propositional solver time : 0.000
% 0.21/0.52 # Success case prop preproc time : 0.000
% 0.21/0.52 # Success case prop encoding time : 0.000
% 0.21/0.52 # Success case prop solver time : 0.000
% 0.21/0.52 # Current number of processed clauses : 8
% 0.21/0.52 # Positive orientable unit clauses : 3
% 0.21/0.52 # Positive unorientable unit clauses: 0
% 0.21/0.52 # Negative unit clauses : 1
% 0.21/0.52 # Non-unit-clauses : 4
% 0.21/0.52 # Current number of unprocessed clauses: 0
% 0.21/0.52 # ...number of literals in the above : 0
% 0.21/0.52 # Current number of archived formulas : 0
% 0.21/0.52 # Current number of archived clauses : 16
% 0.21/0.52 # Clause-clause subsumption calls (NU) : 41
% 0.21/0.52 # Rec. Clause-clause subsumption calls : 31
% 0.21/0.52 # Non-unit clause-clause subsumptions : 8
% 0.21/0.52 # Unit Clause-clause subsumption calls : 0
% 0.21/0.52 # Rewrite failures with RHS unbound : 0
% 0.21/0.52 # BW rewrite match attempts : 2
% 0.21/0.52 # BW rewrite match successes : 2
% 0.21/0.52 # Condensation attempts : 0
% 0.21/0.52 # Condensation successes : 0
% 0.21/0.52 # Termbank termtop insertions : 782
% 0.21/0.52 # Search garbage collected termcells : 159
% 0.21/0.52
% 0.21/0.52 # -------------------------------------------------
% 0.21/0.52 # User time : 0.005 s
% 0.21/0.52 # System time : 0.001 s
% 0.21/0.52 # Total time : 0.007 s
% 0.21/0.52 # Maximum resident set size: 1744 pages
% 0.21/0.52
% 0.21/0.52 # -------------------------------------------------
% 0.21/0.52 # User time : 0.006 s
% 0.21/0.52 # System time : 0.004 s
% 0.21/0.52 # Total time : 0.010 s
% 0.21/0.52 # Maximum resident set size: 1684 pages
% 0.21/0.52 % E---3.1 exiting
% 0.21/0.52 % E exiting
%------------------------------------------------------------------------------