TSTP Solution File: GEO272+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO272+1 : TPTP v8.1.2. Released v4.1.0.
% 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 17:32:28 EDT 2023
% Result : Theorem 2.23s 0.77s
% Output : CNFRefutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 85 ( 25 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 101 ( 41 ~; 36 |; 21 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn; 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))',axiom,
! [X13,X14,X15,X16,X17] :
( ( vf(X15,X13) = vf(X15,X14)
& ron(X14,X17)
& ron(X13,X16)
& rcenter(X15,X17)
& rcenter(X15,X16)
& ? [X18] :
( X14 = X18
& rpoint(X18) )
& ? [X19] :
( X13 = X19
& rpoint(X19) ) )
=> X16 = X17 ),
file('/export/starexec/sandbox/tmp/tmp.D5CbndjjPl/E---3.1_13904.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof('qu(theu(the(212), 1), imp(the(212)))',conjecture,
! [X1] :
( ( ron(vd1055,X1)
& rcenter(vd1057,X1)
& rcircle(X1) )
=> X1 = vd1063 ),
file('/export/starexec/sandbox/tmp/tmp.D5CbndjjPl/E---3.1_13904.p','qu(theu(the(212), 1), imp(the(212)))') ).
fof('and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))',axiom,
( vd1057 = vd1058
& vd1055 != vd1057
& rpoint(vd1058)
& vd1055 = vd1056
& rpoint(vd1056) ),
file('/export/starexec/sandbox/tmp/tmp.D5CbndjjPl/E---3.1_13904.p','and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))') ).
fof('and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))',axiom,
( ron(vd1055,vd1063)
& rcenter(vd1057,vd1063)
& rcircle(vd1063) ),
file('/export/starexec/sandbox/tmp/tmp.D5CbndjjPl/E---3.1_13904.p','and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))') ).
fof(c_0_4,plain,
! [X741,X742,X743,X744,X745,X746,X747] :
( vf(X743,X741) != vf(X743,X742)
| ~ ron(X742,X745)
| ~ ron(X741,X744)
| ~ rcenter(X743,X745)
| ~ rcenter(X743,X744)
| X742 != X746
| ~ rpoint(X746)
| X741 != X747
| ~ rpoint(X747)
| X744 = X745 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))'])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( ron(vd1055,X1)
& rcenter(vd1057,X1)
& rcircle(X1) )
=> X1 = vd1063 ),
inference(assume_negation,[status(cth)],['qu(theu(the(212), 1), imp(the(212)))']) ).
cnf(c_0_6,plain,
( X5 = X4
| vf(X1,X2) != vf(X1,X3)
| ~ ron(X3,X4)
| ~ ron(X2,X5)
| ~ rcenter(X1,X4)
| ~ rcenter(X1,X5)
| X3 != X6
| ~ rpoint(X6)
| X2 != X7
| ~ rpoint(X7) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,negated_conjecture,
( ron(vd1055,esk1_0)
& rcenter(vd1057,esk1_0)
& rcircle(esk1_0)
& esk1_0 != vd1063 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_8,plain,
( X1 = X2
| vf(X3,X4) != vf(X3,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcenter(X3,X2)
| ~ rcenter(X3,X1)
| ~ ron(X5,X1)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_6])]) ).
cnf(c_0_9,negated_conjecture,
rcenter(vd1057,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
vd1057 = vd1058,
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))']) ).
cnf(c_0_11,plain,
( X1 = X2
| ~ rpoint(X3)
| ~ rcenter(X4,X2)
| ~ rcenter(X4,X1)
| ~ ron(X3,X1)
| ~ ron(X3,X2) ),
inference(er,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
rcenter(vd1058,esk1_0),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
rcenter(vd1057,vd1063),
inference(split_conjunct,[status(thm)],['and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))']) ).
cnf(c_0_14,negated_conjecture,
( X1 = esk1_0
| ~ rpoint(X2)
| ~ rcenter(vd1058,X1)
| ~ ron(X2,esk1_0)
| ~ ron(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
rcenter(vd1058,vd1063),
inference(rw,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
esk1_0 != vd1063,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,negated_conjecture,
ron(vd1055,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
vd1055 = vd1056,
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))']) ).
cnf(c_0_19,plain,
ron(vd1055,vd1063),
inference(split_conjunct,[status(thm)],['and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))']) ).
cnf(c_0_20,negated_conjecture,
( ~ rpoint(X1)
| ~ ron(X1,esk1_0)
| ~ ron(X1,vd1063) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_21,negated_conjecture,
ron(vd1056,esk1_0),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
rpoint(vd1056),
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))']) ).
cnf(c_0_23,plain,
ron(vd1056,vd1063),
inference(rw,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : GEO272+1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.14 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Oct 3 07:28:01 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 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.D5CbndjjPl/E---3.1_13904.p
% 2.23/0.77 # Version: 3.1pre001
% 2.23/0.77 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.23/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.23/0.77 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.23/0.77 # Starting new_bool_3 with 300s (1) cores
% 2.23/0.77 # Starting new_bool_1 with 300s (1) cores
% 2.23/0.77 # Starting sh5l with 300s (1) cores
% 2.23/0.77 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 13983 completed with status 0
% 2.23/0.77 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.23/0.77 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.23/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.23/0.77 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.23/0.77 # No SInE strategy applied
% 2.23/0.77 # Search class: FGHSF-FSLM33-SFFFFFNN
% 2.23/0.77 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 2.23/0.77 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 2.23/0.77 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.23/0.77 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 2.23/0.77 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 2.23/0.77 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 2.23/0.77 # G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 13994 completed with status 0
% 2.23/0.77 # Result found by G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S
% 2.23/0.77 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.23/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.23/0.77 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.23/0.77 # No SInE strategy applied
% 2.23/0.77 # Search class: FGHSF-FSLM33-SFFFFFNN
% 2.23/0.77 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 2.23/0.77 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 2.23/0.77 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.23/0.77 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 2.23/0.77 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 2.23/0.77 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 2.23/0.77 # Preprocessing time : 0.017 s
% 2.23/0.77 # Presaturation interreduction done
% 2.23/0.77
% 2.23/0.77 # Proof found!
% 2.23/0.77 # SZS status Theorem
% 2.23/0.77 # SZS output start CNFRefutation
% See solution above
% 2.23/0.77 # Parsed axioms : 108
% 2.23/0.77 # Removed by relevancy pruning/SinE : 0
% 2.23/0.77 # Initial clauses : 265
% 2.23/0.77 # Removed in clause preprocessing : 2
% 2.23/0.77 # Initial clauses in saturation : 263
% 2.23/0.77 # Processed clauses : 874
% 2.23/0.77 # ...of these trivial : 7
% 2.23/0.77 # ...subsumed : 28
% 2.23/0.77 # ...remaining for further processing : 839
% 2.23/0.77 # Other redundant clauses eliminated : 1088
% 2.23/0.77 # Clauses deleted for lack of memory : 0
% 2.23/0.77 # Backward-subsumed : 3
% 2.23/0.77 # Backward-rewritten : 6
% 2.23/0.77 # Generated clauses : 1542
% 2.23/0.77 # ...of the previous two non-redundant : 1525
% 2.23/0.77 # ...aggressively subsumed : 0
% 2.23/0.77 # Contextual simplify-reflections : 8
% 2.23/0.77 # Paramodulations : 1288
% 2.23/0.77 # Factorizations : 8
% 2.23/0.77 # NegExts : 0
% 2.23/0.77 # Equation resolutions : 1102
% 2.23/0.77 # Total rewrite steps : 438
% 2.23/0.77 # Propositional unsat checks : 0
% 2.23/0.77 # Propositional check models : 0
% 2.23/0.77 # Propositional check unsatisfiable : 0
% 2.23/0.77 # Propositional clauses : 0
% 2.23/0.77 # Propositional clauses after purity: 0
% 2.23/0.77 # Propositional unsat core size : 0
% 2.23/0.77 # Propositional preprocessing time : 0.000
% 2.23/0.77 # Propositional encoding time : 0.000
% 2.23/0.77 # Propositional solver time : 0.000
% 2.23/0.77 # Success case prop preproc time : 0.000
% 2.23/0.77 # Success case prop encoding time : 0.000
% 2.23/0.77 # Success case prop solver time : 0.000
% 2.23/0.77 # Current number of processed clauses : 337
% 2.23/0.77 # Positive orientable unit clauses : 44
% 2.23/0.77 # Positive unorientable unit clauses: 0
% 2.23/0.77 # Negative unit clauses : 8
% 2.23/0.77 # Non-unit-clauses : 285
% 2.23/0.77 # Current number of unprocessed clauses: 1155
% 2.23/0.77 # ...number of literals in the above : 16352
% 2.23/0.77 # Current number of archived formulas : 0
% 2.23/0.77 # Current number of archived clauses : 270
% 2.23/0.77 # Clause-clause subsumption calls (NU) : 248535
% 2.23/0.77 # Rec. Clause-clause subsumption calls : 7398
% 2.23/0.77 # Non-unit clause-clause subsumptions : 37
% 2.23/0.77 # Unit Clause-clause subsumption calls : 3402
% 2.23/0.77 # Rewrite failures with RHS unbound : 0
% 2.23/0.77 # BW rewrite match attempts : 26
% 2.23/0.77 # BW rewrite match successes : 8
% 2.23/0.77 # Condensation attempts : 0
% 2.23/0.77 # Condensation successes : 0
% 2.23/0.77 # Termbank termtop insertions : 107948
% 2.23/0.77
% 2.23/0.77 # -------------------------------------------------
% 2.23/0.77 # User time : 0.256 s
% 2.23/0.77 # System time : 0.010 s
% 2.23/0.77 # Total time : 0.266 s
% 2.23/0.77 # Maximum resident set size: 4184 pages
% 2.23/0.77
% 2.23/0.77 # -------------------------------------------------
% 2.23/0.77 # User time : 1.176 s
% 2.23/0.77 # System time : 0.035 s
% 2.23/0.77 # Total time : 1.211 s
% 2.23/0.77 # Maximum resident set size: 2508 pages
% 2.23/0.77 % E---3.1 exiting
% 2.23/0.77 % E---3.1 exiting
%------------------------------------------------------------------------------