TSTP Solution File: GEO231+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO231+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 17:32:17 EDT 2023
% Result : Theorem 0.48s 0.54s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 29 ~; 26 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 45 ( 2 sgn; 23 !; 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/sandbox2/tmp/tmp.9ywuIY3Qmz/E---3.1_23724.p',con) ).
fof(oag9,axiom,
! [X2,X3] :
( ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) )
=> ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9ywuIY3Qmz/E---3.1_23724.p',oag9) ).
fof(oag11,axiom,
! [X2,X3] :
~ ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.9ywuIY3Qmz/E---3.1_23724.p',oag11) ).
fof(oag6,axiom,
! [X2,X3,X6] :
( unequally_directed_lines(X2,X3)
=> ( unequally_directed_lines(X2,X6)
| unequally_directed_lines(X3,X6) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9ywuIY3Qmz/E---3.1_23724.p',oag6) ).
fof(oag5,axiom,
! [X2] : ~ unequally_directed_lines(X2,X2),
file('/export/starexec/sandbox2/tmp/tmp.9ywuIY3Qmz/E---3.1_23724.p',oag5) ).
fof(c_0_5,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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).
fof(c_0_6,plain,
! [X19,X20] :
( ~ unequally_directed_lines(X19,X20)
| ~ unequally_directed_lines(X19,reverse_line(X20))
| left_convergent_lines(X19,X20)
| left_convergent_lines(X19,reverse_line(X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag9])]) ).
fof(c_0_7,plain,
! [X35,X36] :
( ~ left_convergent_lines(X35,X36)
& ~ left_convergent_lines(X35,reverse_line(X36)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag11])]) ).
fof(c_0_8,plain,
! [X11,X12,X13] :
( ~ unequally_directed_lines(X11,X12)
| unequally_directed_lines(X11,X13)
| unequally_directed_lines(X12,X13) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag6])]) ).
fof(c_0_9,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)],[c_0_5])])]) ).
cnf(c_0_10,plain,
( left_convergent_lines(X1,X2)
| left_convergent_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
unequally_directed_lines(esk2_0,reverse_line(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( unequally_directed_lines(reverse_line(esk3_0),X1)
| unequally_directed_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( unequally_directed_lines(esk2_0,X1)
| ~ unequally_directed_lines(reverse_line(esk3_0),reverse_line(X1)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_17,plain,
! [X2] : ~ unequally_directed_lines(X2,X2),
inference(fof_simplification,[status(thm)],[oag5]) ).
cnf(c_0_18,negated_conjecture,
( unequally_directed_lines(esk2_0,reverse_line(X1))
| unequally_directed_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
fof(c_0_19,plain,
! [X10] : ~ unequally_directed_lines(X10,X10),
inference(variable_rename,[status(thm)],[c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( unequally_directed_lines(reverse_line(X1),X2)
| unequally_directed_lines(esk2_0,X1)
| unequally_directed_lines(esk2_0,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_21,plain,
~ unequally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( unequally_directed_lines(reverse_line(X1),X2)
| unequally_directed_lines(esk2_0,X3)
| unequally_directed_lines(esk2_0,X1)
| unequally_directed_lines(X3,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,negated_conjecture,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(esk2_0,X2)
| unequally_directed_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
unequally_directed_lines(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( unequally_directed_lines(esk2_0,X1)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
( unequally_directed_lines(esk1_0,X1)
| ~ unequally_directed_lines(esk2_0,reverse_line(X1)) ),
inference(spm,[status(thm)],[c_0_14,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
~ unequally_directed_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_13]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO231+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.04/0.15 % Command : run_E %s %d THM
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 2400
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Oct 3 06:19:55 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 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/tmp/tmp.9ywuIY3Qmz/E---3.1_23724.p
% 0.48/0.54 # Version: 3.1pre001
% 0.48/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.48/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.48/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.48/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.48/0.54 # Starting sh5l with 300s (1) cores
% 0.48/0.54 # sh5l with pid 23874 completed with status 0
% 0.48/0.54 # Result found by sh5l
% 0.48/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.48/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.48/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.48/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.48/0.54 # Starting sh5l with 300s (1) cores
% 0.48/0.54 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.48/0.54 # Search class: FGHNF-FFMF21-SFFFFFNN
% 0.48/0.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.48/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 181s (1) cores
% 0.48/0.54 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 23879 completed with status 0
% 0.48/0.54 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 0.48/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.48/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.48/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.48/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.48/0.54 # Starting sh5l with 300s (1) cores
% 0.48/0.54 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.48/0.54 # Search class: FGHNF-FFMF21-SFFFFFNN
% 0.48/0.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.48/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 181s (1) cores
% 0.48/0.54 # Preprocessing time : 0.003 s
% 0.48/0.54 # Presaturation interreduction done
% 0.48/0.54
% 0.48/0.54 # Proof found!
% 0.48/0.54 # SZS status Theorem
% 0.48/0.54 # SZS output start CNFRefutation
% See solution above
% 0.48/0.54 # Parsed axioms : 32
% 0.48/0.54 # Removed by relevancy pruning/SinE : 2
% 0.48/0.54 # Initial clauses : 52
% 0.48/0.54 # Removed in clause preprocessing : 0
% 0.48/0.54 # Initial clauses in saturation : 52
% 0.48/0.54 # Processed clauses : 109
% 0.48/0.54 # ...of these trivial : 0
% 0.48/0.54 # ...subsumed : 22
% 0.48/0.54 # ...remaining for further processing : 87
% 0.48/0.54 # Other redundant clauses eliminated : 0
% 0.48/0.54 # Clauses deleted for lack of memory : 0
% 0.48/0.54 # Backward-subsumed : 7
% 0.48/0.54 # Backward-rewritten : 0
% 0.48/0.54 # Generated clauses : 70
% 0.48/0.54 # ...of the previous two non-redundant : 59
% 0.48/0.54 # ...aggressively subsumed : 0
% 0.48/0.54 # Contextual simplify-reflections : 0
% 0.48/0.54 # Paramodulations : 68
% 0.48/0.54 # Factorizations : 2
% 0.48/0.54 # NegExts : 0
% 0.48/0.54 # Equation resolutions : 0
% 0.48/0.54 # Total rewrite steps : 9
% 0.48/0.54 # Propositional unsat checks : 0
% 0.48/0.54 # Propositional check models : 0
% 0.48/0.54 # Propositional check unsatisfiable : 0
% 0.48/0.54 # Propositional clauses : 0
% 0.48/0.54 # Propositional clauses after purity: 0
% 0.48/0.54 # Propositional unsat core size : 0
% 0.48/0.54 # Propositional preprocessing time : 0.000
% 0.48/0.54 # Propositional encoding time : 0.000
% 0.48/0.54 # Propositional solver time : 0.000
% 0.48/0.54 # Success case prop preproc time : 0.000
% 0.48/0.54 # Success case prop encoding time : 0.000
% 0.48/0.54 # Success case prop solver time : 0.000
% 0.48/0.54 # Current number of processed clauses : 50
% 0.48/0.54 # Positive orientable unit clauses : 5
% 0.48/0.54 # Positive unorientable unit clauses: 0
% 0.48/0.54 # Negative unit clauses : 15
% 0.48/0.54 # Non-unit-clauses : 30
% 0.48/0.54 # Current number of unprocessed clauses: 30
% 0.48/0.54 # ...number of literals in the above : 100
% 0.48/0.54 # Current number of archived formulas : 0
% 0.48/0.54 # Current number of archived clauses : 37
% 0.48/0.54 # Clause-clause subsumption calls (NU) : 206
% 0.48/0.54 # Rec. Clause-clause subsumption calls : 145
% 0.48/0.54 # Non-unit clause-clause subsumptions : 11
% 0.48/0.54 # Unit Clause-clause subsumption calls : 125
% 0.48/0.54 # Rewrite failures with RHS unbound : 0
% 0.48/0.54 # BW rewrite match attempts : 0
% 0.48/0.54 # BW rewrite match successes : 0
% 0.48/0.54 # Condensation attempts : 0
% 0.48/0.54 # Condensation successes : 0
% 0.48/0.54 # Termbank termtop insertions : 3911
% 0.48/0.54
% 0.48/0.54 # -------------------------------------------------
% 0.48/0.54 # User time : 0.015 s
% 0.48/0.54 # System time : 0.004 s
% 0.48/0.54 # Total time : 0.019 s
% 0.48/0.54 # Maximum resident set size: 1884 pages
% 0.48/0.54
% 0.48/0.54 # -------------------------------------------------
% 0.48/0.54 # User time : 0.016 s
% 0.48/0.54 # System time : 0.008 s
% 0.48/0.54 # Total time : 0.025 s
% 0.48/0.54 # Maximum resident set size: 1712 pages
% 0.48/0.54 % E---3.1 exiting
% 0.48/0.55 % E---3.1 exiting
%------------------------------------------------------------------------------