TSTP Solution File: GEO231+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 : Sat Jul 16 04:04:57 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 9 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 89 ( 29 ~; 46 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 46 ( 1 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X2,X3,X6] :
( ( ~ unequally_directed_lines(X2,reverse_line(X3))
& ~ unequally_directed_lines(X2,X6) )
=> ~ unequally_directed_lines(X3,reverse_line(X6)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).
fof(oag6,axiom,
! [X2,X3,X6] :
( unequally_directed_lines(X2,X3)
=> ( unequally_directed_lines(X2,X6)
| unequally_directed_lines(X3,X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag6) ).
fof(oag5,axiom,
! [X2] : ~ unequally_directed_lines(X2,X2),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).
fof(oag7,axiom,
! [X2,X3,X6] :
( ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) )
=> ( ( unequally_directed_lines(X2,X6)
& unequally_directed_lines(X2,reverse_line(X6)) )
| ( unequally_directed_lines(X3,X6)
& unequally_directed_lines(X3,reverse_line(X6)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag7) ).
fof(c_0_4,negated_conjecture,
~ ! [X2,X3,X6] :
( ( ~ unequally_directed_lines(X2,reverse_line(X3))
& ~ unequally_directed_lines(X2,X6) )
=> ~ unequally_directed_lines(X3,reverse_line(X6)) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_5,plain,
! [X7,X8,X9] :
( ~ unequally_directed_lines(X7,X8)
| unequally_directed_lines(X7,X9)
| unequally_directed_lines(X8,X9) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag6])])])]) ).
fof(c_0_6,negated_conjecture,
( ~ unequally_directed_lines(esk1_0,reverse_line(esk2_0))
& ~ unequally_directed_lines(esk1_0,esk3_0)
& unequally_directed_lines(esk2_0,reverse_line(esk3_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])])]) ).
cnf(c_0_7,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| ~ unequally_directed_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
unequally_directed_lines(esk2_0,reverse_line(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( unequally_directed_lines(reverse_line(esk3_0),X1)
| unequally_directed_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
( unequally_directed_lines(reverse_line(esk3_0),X1)
| unequally_directed_lines(esk2_0,X2)
| unequally_directed_lines(X2,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
fof(c_0_11,plain,
! [X3] : ~ unequally_directed_lines(X3,X3),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oag5])]) ).
cnf(c_0_12,negated_conjecture,
~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( unequally_directed_lines(reverse_line(esk3_0),X1)
| unequally_directed_lines(esk2_0,X2)
| unequally_directed_lines(X2,X3)
| unequally_directed_lines(X1,X3) ),
inference(spm,[status(thm)],[c_0_7,c_0_10]) ).
fof(c_0_14,plain,
! [X7,X8,X9] :
( ( unequally_directed_lines(X8,X9)
| unequally_directed_lines(X7,X9)
| ~ unequally_directed_lines(X7,X8)
| ~ unequally_directed_lines(X7,reverse_line(X8)) )
& ( unequally_directed_lines(X8,reverse_line(X9))
| unequally_directed_lines(X7,X9)
| ~ unequally_directed_lines(X7,X8)
| ~ unequally_directed_lines(X7,reverse_line(X8)) )
& ( unequally_directed_lines(X8,X9)
| unequally_directed_lines(X7,reverse_line(X9))
| ~ unequally_directed_lines(X7,X8)
| ~ unequally_directed_lines(X7,reverse_line(X8)) )
& ( unequally_directed_lines(X8,reverse_line(X9))
| unequally_directed_lines(X7,reverse_line(X9))
| ~ unequally_directed_lines(X7,X8)
| ~ unequally_directed_lines(X7,reverse_line(X8)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag7])])])])]) ).
cnf(c_0_15,plain,
~ unequally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( unequally_directed_lines(X1,reverse_line(esk2_0))
| unequally_directed_lines(reverse_line(esk3_0),X1)
| unequally_directed_lines(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( unequally_directed_lines(X1,reverse_line(X3))
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( unequally_directed_lines(reverse_line(esk3_0),reverse_line(esk2_0))
| unequally_directed_lines(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
( unequally_directed_lines(reverse_line(esk3_0),esk2_0)
| unequally_directed_lines(esk2_0,X1) ),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_13]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( unequally_directed_lines(reverse_line(esk3_0),reverse_line(X1))
| unequally_directed_lines(esk2_0,esk1_0)
| unequally_directed_lines(esk2_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( unequally_directed_lines(esk2_0,esk3_0)
| unequally_directed_lines(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_22,negated_conjecture,
( unequally_directed_lines(esk2_0,esk3_0)
| unequally_directed_lines(esk2_0,X1)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_21]) ).
cnf(c_0_23,negated_conjecture,
~ unequally_directed_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,negated_conjecture,
( unequally_directed_lines(esk2_0,reverse_line(X1))
| unequally_directed_lines(esk3_0,X1)
| ~ unequally_directed_lines(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_8]) ).
cnf(c_0_25,negated_conjecture,
unequally_directed_lines(esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_22]),c_0_23]) ).
cnf(c_0_26,plain,
( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,reverse_line(X3))
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,negated_conjecture,
( unequally_directed_lines(esk2_0,reverse_line(X1))
| unequally_directed_lines(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).
cnf(c_0_28,negated_conjecture,
( unequally_directed_lines(esk2_0,X1)
| unequally_directed_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(esk3_0,X1)
| unequally_directed_lines(esk2_0,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_30,negated_conjecture,
unequally_directed_lines(esk3_0,esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_29]),c_0_15]) ).
cnf(c_0_31,negated_conjecture,
( unequally_directed_lines(esk3_0,X1)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_30]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_31]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 01:37:17 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.40 # Preprocessing time : 0.014 s
% 0.23/1.40
% 0.23/1.40 # Proof found!
% 0.23/1.40 # SZS status Theorem
% 0.23/1.40 # SZS output start CNFRefutation
% See solution above
% 0.23/1.40 # Proof object total steps : 33
% 0.23/1.40 # Proof object clause steps : 24
% 0.23/1.40 # Proof object formula steps : 9
% 0.23/1.40 # Proof object conjectures : 23
% 0.23/1.40 # Proof object clause conjectures : 20
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 7
% 0.23/1.40 # Proof object initial formulas used : 4
% 0.23/1.40 # Proof object generating inferences : 16
% 0.23/1.40 # Proof object simplifying inferences : 8
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 32
% 0.23/1.40 # Removed by relevancy pruning/SinE : 28
% 0.23/1.40 # Initial clauses : 9
% 0.23/1.40 # Removed in clause preprocessing : 0
% 0.23/1.40 # Initial clauses in saturation : 9
% 0.23/1.40 # Processed clauses : 257
% 0.23/1.40 # ...of these trivial : 1
% 0.23/1.40 # ...subsumed : 129
% 0.23/1.40 # ...remaining for further processing : 127
% 0.23/1.40 # Other redundant clauses eliminated : 0
% 0.23/1.40 # Clauses deleted for lack of memory : 0
% 0.23/1.40 # Backward-subsumed : 10
% 0.23/1.40 # Backward-rewritten : 9
% 0.23/1.40 # Generated clauses : 3532
% 0.23/1.40 # ...of the previous two non-trivial : 2889
% 0.23/1.40 # Contextual simplify-reflections : 65
% 0.23/1.40 # Paramodulations : 3330
% 0.23/1.40 # Factorizations : 202
% 0.23/1.40 # Equation resolutions : 0
% 0.23/1.40 # Current number of processed clauses : 108
% 0.23/1.40 # Positive orientable unit clauses : 4
% 0.23/1.40 # Positive unorientable unit clauses: 0
% 0.23/1.40 # Negative unit clauses : 3
% 0.23/1.40 # Non-unit-clauses : 101
% 0.23/1.40 # Current number of unprocessed clauses: 2475
% 0.23/1.40 # ...number of literals in the above : 15551
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 19
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 10656
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 3898
% 0.23/1.40 # Non-unit clause-clause subsumptions : 199
% 0.23/1.40 # Unit Clause-clause subsumption calls : 167
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 1
% 0.23/1.40 # BW rewrite match successes : 1
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 65777
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.116 s
% 0.23/1.40 # System time : 0.005 s
% 0.23/1.40 # Total time : 0.121 s
% 0.23/1.40 # Maximum resident set size: 4824 pages
%------------------------------------------------------------------------------