TSTP Solution File: GEO343+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO343+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 17:34:55 EDT 2023
% Result : Theorem 1.67s 0.68s
% Output : CNFRefutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 15 unt; 0 def)
% Number of atoms : 119 ( 44 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 143 ( 51 ~; 44 |; 45 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 36 ( 0 sgn; 14 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))',axiom,
! [X232,X233,X234,X235] :
( ( ron(X233,X235)
& ron(X233,X234)
& ron(X232,X235)
& ron(X232,X234)
& ? [X236] :
( X235 = X236
& rline(X236) )
& ? [X237] :
( X234 = X237
& rline(X237) )
& X232 != X233
& ? [X238] :
( X233 = X238
& rpoint(X238) )
& ? [X239] :
( X232 = X239
& rpoint(X239) ) )
=> X234 = X235 ),
file('/export/starexec/sandbox2/tmp/tmp.W8YiLCSidP/E---3.1_6424.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof('qu(theu(the(408), 1), imp(the(408)))',conjecture,
! [X1] :
( ( ron(vd1399,X1)
& ron(vd1401,X1)
& rline(X1) )
=> X1 = vd1416 ),
file('/export/starexec/sandbox2/tmp/tmp.W8YiLCSidP/E---3.1_6424.p','qu(theu(the(408), 1), imp(the(408)))') ).
fof('and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))',axiom,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& ? [X2] :
( vd1401 = X2
& rpoint(X2) )
& ? [X3] :
( vd1400 = X3
& rpoint(X3) )
& ? [X4] :
( vd1399 = X4
& rpoint(X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.W8YiLCSidP/E---3.1_6424.p','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).
fof('and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))',axiom,
( ron(vd1399,vd1416)
& ron(vd1401,vd1416)
& rline(vd1416) ),
file('/export/starexec/sandbox2/tmp/tmp.W8YiLCSidP/E---3.1_6424.p','and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))') ).
fof(c_0_4,plain,
! [X1075,X1076,X1077,X1078,X1079,X1080,X1081,X1082] :
( ~ ron(X1076,X1078)
| ~ ron(X1076,X1077)
| ~ ron(X1075,X1078)
| ~ ron(X1075,X1077)
| X1078 != X1079
| ~ rline(X1079)
| X1077 != X1080
| ~ rline(X1080)
| X1075 = X1076
| X1076 != X1081
| ~ rpoint(X1081)
| X1075 != X1082
| ~ rpoint(X1082)
| X1077 = X1078 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))'])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( ron(vd1399,X1)
& ron(vd1401,X1)
& rline(X1) )
=> X1 = vd1416 ),
inference(assume_negation,[status(cth)],['qu(theu(the(408), 1), imp(the(408)))']) ).
fof(c_0_6,plain,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& vd1401 = esk2_0
& rpoint(esk2_0)
& vd1400 = esk3_0
& rpoint(esk3_0)
& vd1399 = esk4_0
& rpoint(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))'])]) ).
cnf(c_0_7,plain,
( X4 = X1
| X3 = X2
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X4,X2)
| ~ ron(X4,X3)
| X2 != X5
| ~ rline(X5)
| X3 != X6
| ~ rline(X6)
| X1 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
( ron(vd1399,esk1_0)
& ron(vd1401,esk1_0)
& rline(esk1_0)
& esk1_0 != vd1416 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_9,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
vd1401 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( X1 = X2
| X3 = X4
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rline(X2)
| ~ rline(X1)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,X2)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_7])])])]) ).
cnf(c_0_12,negated_conjecture,
ron(vd1401,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
rpoint(vd1401),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
rline(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( X1 = esk1_0
| X2 = vd1401
| ~ rpoint(X2)
| ~ rline(X1)
| ~ ron(vd1401,X1)
| ~ ron(X2,esk1_0)
| ~ ron(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_16,plain,
ron(vd1401,vd1416),
inference(split_conjunct,[status(thm)],['and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))']) ).
cnf(c_0_17,plain,
rline(vd1416),
inference(split_conjunct,[status(thm)],['and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))']) ).
cnf(c_0_18,negated_conjecture,
esk1_0 != vd1416,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,plain,
vd1399 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( X1 = vd1401
| ~ rpoint(X1)
| ~ ron(X1,esk1_0)
| ~ ron(X1,vd1416) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),c_0_18]) ).
cnf(c_0_22,negated_conjecture,
ron(vd1399,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,plain,
rpoint(vd1399),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
ron(vd1399,vd1416),
inference(split_conjunct,[status(thm)],['and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))']) ).
cnf(c_0_25,plain,
vd1399 != vd1401,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GEO343+1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n023.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 2400
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Oct 3 06:27:52 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.42 Running first-order model finding
% 0.15/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.W8YiLCSidP/E---3.1_6424.p
% 1.67/0.68 # Version: 3.1pre001
% 1.67/0.68 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.67/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.67/0.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.67/0.68 # Starting new_bool_3 with 300s (1) cores
% 1.67/0.68 # Starting new_bool_1 with 300s (1) cores
% 1.67/0.68 # Starting sh5l with 300s (1) cores
% 1.67/0.68 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 6501 completed with status 0
% 1.67/0.68 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.67/0.68 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.67/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.67/0.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.67/0.68 # No SInE strategy applied
% 1.67/0.68 # Search class: FGHSF-FSLM33-SFFFFFNN
% 1.67/0.68 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 1.67/0.68 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 1.67/0.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.67/0.68 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 136s (1) cores
% 1.67/0.68 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 1.67/0.68 # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 1.67/0.68 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 6509 completed with status 0
% 1.67/0.68 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.67/0.68 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.67/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.67/0.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.67/0.68 # No SInE strategy applied
% 1.67/0.68 # Search class: FGHSF-FSLM33-SFFFFFNN
% 1.67/0.68 # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 1.67/0.68 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 271s (1) cores
% 1.67/0.68 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.67/0.68 # Preprocessing time : 0.017 s
% 1.67/0.68 # Presaturation interreduction done
% 1.67/0.68
% 1.67/0.68 # Proof found!
% 1.67/0.68 # SZS status Theorem
% 1.67/0.68 # SZS output start CNFRefutation
% See solution above
% 1.67/0.68 # Parsed axioms : 125
% 1.67/0.68 # Removed by relevancy pruning/SinE : 0
% 1.67/0.68 # Initial clauses : 297
% 1.67/0.68 # Removed in clause preprocessing : 2
% 1.67/0.68 # Initial clauses in saturation : 295
% 1.67/0.68 # Processed clauses : 840
% 1.67/0.68 # ...of these trivial : 9
% 1.67/0.68 # ...subsumed : 38
% 1.67/0.68 # ...remaining for further processing : 793
% 1.67/0.68 # Other redundant clauses eliminated : 1208
% 1.67/0.68 # Clauses deleted for lack of memory : 0
% 1.67/0.68 # Backward-subsumed : 1
% 1.67/0.68 # Backward-rewritten : 7
% 1.67/0.68 # Generated clauses : 783
% 1.67/0.68 # ...of the previous two non-redundant : 754
% 1.67/0.68 # ...aggressively subsumed : 0
% 1.67/0.68 # Contextual simplify-reflections : 8
% 1.67/0.68 # Paramodulations : 519
% 1.67/0.68 # Factorizations : 0
% 1.67/0.68 # NegExts : 0
% 1.67/0.68 # Equation resolutions : 1209
% 1.67/0.68 # Total rewrite steps : 257
% 1.67/0.68 # Propositional unsat checks : 0
% 1.67/0.68 # Propositional check models : 0
% 1.67/0.68 # Propositional check unsatisfiable : 0
% 1.67/0.68 # Propositional clauses : 0
% 1.67/0.68 # Propositional clauses after purity: 0
% 1.67/0.68 # Propositional unsat core size : 0
% 1.67/0.68 # Propositional preprocessing time : 0.000
% 1.67/0.68 # Propositional encoding time : 0.000
% 1.67/0.68 # Propositional solver time : 0.000
% 1.67/0.68 # Success case prop preproc time : 0.000
% 1.67/0.68 # Success case prop encoding time : 0.000
% 1.67/0.68 # Success case prop solver time : 0.000
% 1.67/0.68 # Current number of processed clauses : 231
% 1.67/0.68 # Positive orientable unit clauses : 40
% 1.67/0.68 # Positive unorientable unit clauses: 0
% 1.67/0.68 # Negative unit clauses : 10
% 1.67/0.68 # Non-unit-clauses : 181
% 1.67/0.68 # Current number of unprocessed clauses: 419
% 1.67/0.68 # ...number of literals in the above : 3464
% 1.67/0.68 # Current number of archived formulas : 0
% 1.67/0.68 # Current number of archived clauses : 301
% 1.67/0.68 # Clause-clause subsumption calls (NU) : 313164
% 1.67/0.68 # Rec. Clause-clause subsumption calls : 6173
% 1.67/0.68 # Non-unit clause-clause subsumptions : 42
% 1.67/0.68 # Unit Clause-clause subsumption calls : 152
% 1.67/0.68 # Rewrite failures with RHS unbound : 0
% 1.67/0.68 # BW rewrite match attempts : 3
% 1.67/0.68 # BW rewrite match successes : 3
% 1.67/0.68 # Condensation attempts : 0
% 1.67/0.68 # Condensation successes : 0
% 1.67/0.68 # Termbank termtop insertions : 71446
% 1.67/0.68
% 1.67/0.68 # -------------------------------------------------
% 1.67/0.68 # User time : 0.234 s
% 1.67/0.68 # System time : 0.004 s
% 1.67/0.68 # Total time : 0.238 s
% 1.67/0.68 # Maximum resident set size: 4444 pages
% 1.67/0.68
% 1.67/0.68 # -------------------------------------------------
% 1.67/0.68 # User time : 1.047 s
% 1.67/0.68 # System time : 0.022 s
% 1.67/0.68 # Total time : 1.070 s
% 1.67/0.68 # Maximum resident set size: 2572 pages
% 1.67/0.68 % E---3.1 exiting
%------------------------------------------------------------------------------