TSTP Solution File: GEO343+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO343+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n012.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 04:05:30 EDT 2022
% Result : Theorem 0.26s 1.44s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 18 unt; 0 def)
% Number of atoms : 122 ( 45 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 144 ( 52 ~; 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(theu(the(408), 1), imp(the(408)))',conjecture,
! [X1] :
( ( ron(vd1399,X1)
& ron(vd1401,X1)
& rline(X1) )
=> X1 = vd1416 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(theu(the(408), 1), imp(the(408)))') ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))') ).
fof(c_0_4,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_5,plain,
! [X240,X241,X242,X243,X244,X245,X246,X247] :
( ~ ron(X241,X243)
| ~ ron(X241,X242)
| ~ ron(X240,X243)
| ~ ron(X240,X242)
| X243 != X244
| ~ rline(X244)
| X242 != X245
| ~ rline(X245)
| X240 = X241
| X241 != X246
| ~ rpoint(X246)
| X240 != X247
| ~ rpoint(X247)
| X242 = X243 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[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_6,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_4])])]) ).
fof(c_0_7,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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[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_8,plain,
( X1 = X2
| X4 = X6
| ~ rpoint(X3)
| X4 != X3
| ~ rpoint(X5)
| X6 != X5
| ~ rline(X7)
| X1 != X7
| ~ rline(X8)
| X2 != X8
| ~ ron(X4,X1)
| ~ ron(X4,X2)
| ~ ron(X6,X1)
| ~ ron(X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
ron(vd1399,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
vd1399 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( X1 = X2
| X3 = X4
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X4)
| ~ rline(X3)
| ~ ron(X2,X4)
| ~ ron(X2,X3)
| ~ ron(X1,X4)
| ~ ron(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_8])])])]) ).
cnf(c_0_12,negated_conjecture,
ron(esk4_0,esk1_0),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
rline(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,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_16,negated_conjecture,
( X1 = esk1_0
| X2 = esk4_0
| ~ rpoint(X2)
| ~ rline(X1)
| ~ ron(esk4_0,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_17,plain,
ron(esk4_0,vd1416),
inference(rw,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_18,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_19,negated_conjecture,
esk1_0 != vd1416,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,negated_conjecture,
ron(vd1401,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,plain,
vd1401 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,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_23,plain,
vd1399 != vd1401,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_24,negated_conjecture,
( X1 = esk4_0
| ~ 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_16,c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_25,negated_conjecture,
ron(esk2_0,esk1_0),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,plain,
ron(esk2_0,vd1416),
inference(rw,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_28,plain,
esk4_0 != esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_21]),c_0_10]) ).
cnf(c_0_29,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_24,c_0_25]),c_0_26]),c_0_27])]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO343+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 16:29:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.26/1.44 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.26/1.44 # Preprocessing time : 0.064 s
% 0.26/1.44
% 0.26/1.44 # Proof found!
% 0.26/1.44 # SZS status Theorem
% 0.26/1.44 # SZS output start CNFRefutation
% See solution above
% 0.26/1.44 # Proof object total steps : 30
% 0.26/1.44 # Proof object clause steps : 22
% 0.26/1.44 # Proof object formula steps : 8
% 0.26/1.44 # Proof object conjectures : 12
% 0.26/1.44 # Proof object clause conjectures : 9
% 0.26/1.44 # Proof object formula conjectures : 3
% 0.26/1.44 # Proof object initial clauses used : 13
% 0.26/1.44 # Proof object initial formulas used : 4
% 0.26/1.44 # Proof object generating inferences : 3
% 0.26/1.44 # Proof object simplifying inferences : 20
% 0.26/1.44 # Training examples: 0 positive, 0 negative
% 0.26/1.44 # Parsed axioms : 125
% 0.26/1.44 # Removed by relevancy pruning/SinE : 0
% 0.26/1.44 # Initial clauses : 297
% 0.26/1.44 # Removed in clause preprocessing : 2
% 0.26/1.44 # Initial clauses in saturation : 295
% 0.26/1.44 # Processed clauses : 724
% 0.26/1.44 # ...of these trivial : 6
% 0.26/1.44 # ...subsumed : 115
% 0.26/1.44 # ...remaining for further processing : 603
% 0.26/1.44 # Other redundant clauses eliminated : 1197
% 0.26/1.44 # Clauses deleted for lack of memory : 0
% 0.26/1.44 # Backward-subsumed : 8
% 0.26/1.44 # Backward-rewritten : 14
% 0.26/1.44 # Generated clauses : 2495
% 0.26/1.44 # ...of the previous two non-trivial : 2293
% 0.26/1.44 # Contextual simplify-reflections : 129
% 0.26/1.44 # Paramodulations : 2223
% 0.26/1.44 # Factorizations : 0
% 0.26/1.44 # Equation resolutions : 1211
% 0.26/1.44 # Current number of processed clauses : 325
% 0.26/1.44 # Positive orientable unit clauses : 39
% 0.26/1.44 # Positive unorientable unit clauses: 0
% 0.26/1.44 # Negative unit clauses : 11
% 0.26/1.44 # Non-unit-clauses : 275
% 0.26/1.44 # Current number of unprocessed clauses: 1688
% 0.26/1.44 # ...number of literals in the above : 17349
% 0.26/1.44 # Current number of archived formulas : 0
% 0.26/1.44 # Current number of archived clauses : 22
% 0.26/1.44 # Clause-clause subsumption calls (NU) : 61421
% 0.26/1.44 # Rec. Clause-clause subsumption calls : 4371
% 0.26/1.44 # Non-unit clause-clause subsumptions : 244
% 0.26/1.44 # Unit Clause-clause subsumption calls : 360
% 0.26/1.44 # Rewrite failures with RHS unbound : 0
% 0.26/1.44 # BW rewrite match attempts : 8
% 0.26/1.44 # BW rewrite match successes : 8
% 0.26/1.44 # Condensation attempts : 0
% 0.26/1.44 # Condensation successes : 0
% 0.26/1.44 # Termbank termtop insertions : 120830
% 0.26/1.44
% 0.26/1.44 # -------------------------------------------------
% 0.26/1.44 # User time : 0.161 s
% 0.26/1.44 # System time : 0.006 s
% 0.26/1.44 # Total time : 0.167 s
% 0.26/1.44 # Maximum resident set size: 7768 pages
% 0.26/23.43 eprover: CPU time limit exceeded, terminating
% 0.26/23.43 eprover: CPU time limit exceeded, terminating
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------