TSTP Solution File: GEO218+3 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO218+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:32:12 EDT 2023
% Result : Theorem 0.37s 0.54s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 13 unt; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 120 ( 49 ~; 49 |; 11 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 76 ( 0 sgn; 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a5,axiom,
! [X1,X2] :
( orthogonal_lines(X1,X2)
<=> ~ unorthogonal_lines(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.i1zA5eFp9j/E---3.1_19225.p',a5) ).
fof(con,conjecture,
! [X6,X7,X8] :
( ( parallel_lines(X6,X7)
& orthogonal_lines(X6,X8) )
=> orthogonal_lines(X7,X8) ),
file('/export/starexec/sandbox/tmp/tmp.i1zA5eFp9j/E---3.1_19225.p',con) ).
fof(occu1,axiom,
! [X6,X7] :
( convergent_lines(X6,X7)
| unorthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox/tmp/tmp.i1zA5eFp9j/E---3.1_19225.p',occu1) ).
fof(ceq3,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( distinct_lines(X2,X3)
| convergent_lines(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.i1zA5eFp9j/E---3.1_19225.p',ceq3) ).
fof(apart2,axiom,
! [X1] : ~ distinct_lines(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.i1zA5eFp9j/E---3.1_19225.p',apart2) ).
fof(apart5,axiom,
! [X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X1,X3)
| distinct_lines(X2,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.i1zA5eFp9j/E---3.1_19225.p',apart5) ).
fof(a3,axiom,
! [X1,X2] :
( parallel_lines(X1,X2)
<=> ~ convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.i1zA5eFp9j/E---3.1_19225.p',a3) ).
fof(p1,axiom,
! [X1,X2] :
( distinct_lines(X1,X2)
=> convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.i1zA5eFp9j/E---3.1_19225.p',p1) ).
fof(cotno1,axiom,
! [X6,X7,X8] :
( ( ( ~ convergent_lines(X6,X7)
| ~ unorthogonal_lines(X6,X7) )
& ( ~ convergent_lines(X6,X8)
| ~ unorthogonal_lines(X6,X8) ) )
=> ( ~ convergent_lines(X7,X8)
| ~ unorthogonal_lines(X7,X8) ) ),
file('/export/starexec/sandbox/tmp/tmp.i1zA5eFp9j/E---3.1_19225.p',cotno1) ).
fof(c_0_9,plain,
! [X1,X2] :
( orthogonal_lines(X1,X2)
<=> ~ unorthogonal_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[a5]) ).
fof(c_0_10,negated_conjecture,
~ ! [X6,X7,X8] :
( ( parallel_lines(X6,X7)
& orthogonal_lines(X6,X8) )
=> orthogonal_lines(X7,X8) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_11,plain,
! [X14,X15] :
( ( ~ orthogonal_lines(X14,X15)
| ~ unorthogonal_lines(X14,X15) )
& ( unorthogonal_lines(X14,X15)
| orthogonal_lines(X14,X15) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
fof(c_0_12,negated_conjecture,
( parallel_lines(esk1_0,esk2_0)
& orthogonal_lines(esk1_0,esk3_0)
& ~ orthogonal_lines(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_13,plain,
( ~ orthogonal_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
orthogonal_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X18,X19] :
( convergent_lines(X18,X19)
| unorthogonal_lines(X18,X19) ),
inference(variable_rename,[status(thm)],[occu1]) ).
fof(c_0_16,plain,
! [X56,X57,X58] :
( ~ convergent_lines(X56,X57)
| distinct_lines(X57,X58)
| convergent_lines(X56,X58) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq3])]) ).
cnf(c_0_17,negated_conjecture,
~ unorthogonal_lines(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_19,plain,
! [X1] : ~ distinct_lines(X1,X1),
inference(fof_simplification,[status(thm)],[apart2]) ).
fof(c_0_20,plain,
! [X53,X54,X55] :
( ~ distinct_lines(X53,X54)
| distinct_lines(X53,X55)
| distinct_lines(X54,X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apart5])]) ).
cnf(c_0_21,plain,
( distinct_lines(X2,X3)
| convergent_lines(X1,X3)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
convergent_lines(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_23,plain,
! [X1,X2] :
( parallel_lines(X1,X2)
<=> ~ convergent_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[a3]) ).
fof(c_0_24,plain,
! [X52] : ~ distinct_lines(X52,X52),
inference(variable_rename,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( distinct_lines(X1,X3)
| distinct_lines(X2,X3)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( convergent_lines(esk1_0,X1)
| distinct_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_27,plain,
! [X16,X17] :
( ( ~ parallel_lines(X16,X17)
| ~ convergent_lines(X16,X17) )
& ( convergent_lines(X16,X17)
| parallel_lines(X16,X17) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])]) ).
fof(c_0_28,plain,
! [X59,X60] :
( ~ distinct_lines(X59,X60)
| convergent_lines(X59,X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])]) ).
cnf(c_0_29,plain,
~ distinct_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( convergent_lines(esk1_0,X1)
| distinct_lines(esk3_0,X2)
| distinct_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_31,plain,
! [X6,X7,X8] :
( ( ( ~ convergent_lines(X6,X7)
| ~ unorthogonal_lines(X6,X7) )
& ( ~ convergent_lines(X6,X8)
| ~ unorthogonal_lines(X6,X8) ) )
=> ( ~ convergent_lines(X7,X8)
| ~ unorthogonal_lines(X7,X8) ) ),
inference(fof_simplification,[status(thm)],[cotno1]) ).
cnf(c_0_32,plain,
( ~ parallel_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
parallel_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_34,plain,
( convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( convergent_lines(esk1_0,X1)
| distinct_lines(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_36,plain,
! [X29,X30,X31] :
( ( convergent_lines(X29,X31)
| convergent_lines(X29,X30)
| ~ convergent_lines(X30,X31)
| ~ unorthogonal_lines(X30,X31) )
& ( unorthogonal_lines(X29,X31)
| convergent_lines(X29,X30)
| ~ convergent_lines(X30,X31)
| ~ unorthogonal_lines(X30,X31) )
& ( convergent_lines(X29,X31)
| unorthogonal_lines(X29,X30)
| ~ convergent_lines(X30,X31)
| ~ unorthogonal_lines(X30,X31) )
& ( unorthogonal_lines(X29,X31)
| unorthogonal_lines(X29,X30)
| ~ convergent_lines(X30,X31)
| ~ unorthogonal_lines(X30,X31) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
cnf(c_0_37,negated_conjecture,
~ orthogonal_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_38,plain,
( unorthogonal_lines(X1,X2)
| orthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_39,negated_conjecture,
~ convergent_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( convergent_lines(esk1_0,X1)
| convergent_lines(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X3)
| ~ convergent_lines(X3,X2)
| ~ unorthogonal_lines(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,negated_conjecture,
unorthogonal_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
convergent_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( unorthogonal_lines(X1,esk3_0)
| convergent_lines(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_44]),c_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : GEO218+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.16 % Command : run_E %s %d THM
% 0.16/0.37 % Computer : n027.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 2400
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Oct 3 07:00:46 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.53 Running first-order theorem proving
% 0.23/0.53 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.i1zA5eFp9j/E---3.1_19225.p
% 0.37/0.54 # Version: 3.1pre001
% 0.37/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.37/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.37/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.37/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.37/0.54 # Starting sh5l with 300s (1) cores
% 0.37/0.54 # new_bool_3 with pid 19304 completed with status 0
% 0.37/0.54 # Result found by new_bool_3
% 0.37/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.37/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.37/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.37/0.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.37/0.54 # Search class: FGHNF-FFMF00-SFFFFFNN
% 0.37/0.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.37/0.54 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.37/0.54 # SAT001_MinMin_p005000_rr_RG with pid 19307 completed with status 0
% 0.37/0.54 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.37/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.37/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.37/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.37/0.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.37/0.54 # Search class: FGHNF-FFMF00-SFFFFFNN
% 0.37/0.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.37/0.54 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.37/0.54 # Preprocessing time : 0.001 s
% 0.37/0.54 # Presaturation interreduction done
% 0.37/0.54
% 0.37/0.54 # Proof found!
% 0.37/0.54 # SZS status Theorem
% 0.37/0.54 # SZS output start CNFRefutation
% See solution above
% 0.37/0.55 # Parsed axioms : 36
% 0.37/0.55 # Removed by relevancy pruning/SinE : 17
% 0.37/0.55 # Initial clauses : 29
% 0.37/0.55 # Removed in clause preprocessing : 0
% 0.37/0.55 # Initial clauses in saturation : 29
% 0.37/0.55 # Processed clauses : 84
% 0.37/0.55 # ...of these trivial : 0
% 0.37/0.55 # ...subsumed : 16
% 0.37/0.55 # ...remaining for further processing : 68
% 0.37/0.55 # Other redundant clauses eliminated : 0
% 0.37/0.55 # Clauses deleted for lack of memory : 0
% 0.37/0.55 # Backward-subsumed : 0
% 0.37/0.55 # Backward-rewritten : 0
% 0.37/0.55 # Generated clauses : 88
% 0.37/0.55 # ...of the previous two non-redundant : 70
% 0.37/0.55 # ...aggressively subsumed : 0
% 0.37/0.55 # Contextual simplify-reflections : 0
% 0.37/0.55 # Paramodulations : 86
% 0.37/0.55 # Factorizations : 2
% 0.37/0.55 # NegExts : 0
% 0.37/0.55 # Equation resolutions : 0
% 0.37/0.55 # Total rewrite steps : 12
% 0.37/0.55 # Propositional unsat checks : 0
% 0.37/0.55 # Propositional check models : 0
% 0.37/0.55 # Propositional check unsatisfiable : 0
% 0.37/0.55 # Propositional clauses : 0
% 0.37/0.55 # Propositional clauses after purity: 0
% 0.37/0.55 # Propositional unsat core size : 0
% 0.37/0.55 # Propositional preprocessing time : 0.000
% 0.37/0.55 # Propositional encoding time : 0.000
% 0.37/0.55 # Propositional solver time : 0.000
% 0.37/0.55 # Success case prop preproc time : 0.000
% 0.37/0.55 # Success case prop encoding time : 0.000
% 0.37/0.55 # Success case prop solver time : 0.000
% 0.37/0.55 # Current number of processed clauses : 43
% 0.37/0.55 # Positive orientable unit clauses : 8
% 0.37/0.55 # Positive unorientable unit clauses: 0
% 0.37/0.55 # Negative unit clauses : 5
% 0.37/0.55 # Non-unit-clauses : 30
% 0.37/0.55 # Current number of unprocessed clauses: 40
% 0.37/0.55 # ...number of literals in the above : 140
% 0.37/0.55 # Current number of archived formulas : 0
% 0.37/0.55 # Current number of archived clauses : 25
% 0.37/0.55 # Clause-clause subsumption calls (NU) : 164
% 0.37/0.55 # Rec. Clause-clause subsumption calls : 106
% 0.37/0.55 # Non-unit clause-clause subsumptions : 12
% 0.37/0.55 # Unit Clause-clause subsumption calls : 5
% 0.37/0.55 # Rewrite failures with RHS unbound : 0
% 0.37/0.55 # BW rewrite match attempts : 0
% 0.37/0.55 # BW rewrite match successes : 0
% 0.37/0.55 # Condensation attempts : 0
% 0.37/0.55 # Condensation successes : 0
% 0.37/0.55 # Termbank termtop insertions : 2796
% 0.37/0.55
% 0.37/0.55 # -------------------------------------------------
% 0.37/0.55 # User time : 0.008 s
% 0.37/0.55 # System time : 0.002 s
% 0.37/0.55 # Total time : 0.010 s
% 0.37/0.55 # Maximum resident set size: 1876 pages
% 0.37/0.55
% 0.37/0.55 # -------------------------------------------------
% 0.37/0.55 # User time : 0.009 s
% 0.37/0.55 # System time : 0.004 s
% 0.37/0.55 # Total time : 0.014 s
% 0.37/0.55 # Maximum resident set size: 1716 pages
% 0.37/0.55 % E---3.1 exiting
% 0.37/0.55 % E---3.1 exiting
%------------------------------------------------------------------------------