TSTP Solution File: GEO084+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO084+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 04:03:28 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 38 ( 7 unt; 0 def)
% Number of atoms : 111 ( 14 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 109 ( 36 ~; 53 |; 14 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 82 ( 12 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(corollary_2_6_2,conjecture,
! [X2,X4,X6,X3] :
( ( part_of(X2,X6)
& part_of(X4,X6)
& meet(X3,X2,X4) )
=> part_of(sum(X2,X4),X6) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',corollary_2_6_2) ).
fof(sum_defn,axiom,
! [X1,X2,X4] :
( X1 = sum(X2,X4)
<=> ! [X5] :
( incident_c(X5,X1)
<=> ( incident_c(X5,X2)
| incident_c(X5,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',sum_defn) ).
fof(part_of_defn,axiom,
! [X1,X2] :
( part_of(X2,X1)
<=> ! [X3] :
( incident_c(X3,X2)
=> incident_c(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(c_0_3,negated_conjecture,
~ ! [X2,X4,X6,X3] :
( ( part_of(X2,X6)
& part_of(X4,X6)
& meet(X3,X2,X4) )
=> part_of(sum(X2,X4),X6) ),
inference(assume_negation,[status(cth)],[corollary_2_6_2]) ).
fof(c_0_4,plain,
! [X6,X7,X8,X9,X9,X6,X7,X8] :
( ( ~ incident_c(X9,X6)
| incident_c(X9,X7)
| incident_c(X9,X8)
| X6 != sum(X7,X8) )
& ( ~ incident_c(X9,X7)
| incident_c(X9,X6)
| X6 != sum(X7,X8) )
& ( ~ incident_c(X9,X8)
| incident_c(X9,X6)
| X6 != sum(X7,X8) )
& ( ~ incident_c(esk8_3(X6,X7,X8),X7)
| ~ incident_c(esk8_3(X6,X7,X8),X6)
| X6 = sum(X7,X8) )
& ( ~ incident_c(esk8_3(X6,X7,X8),X8)
| ~ incident_c(esk8_3(X6,X7,X8),X6)
| X6 = sum(X7,X8) )
& ( incident_c(esk8_3(X6,X7,X8),X6)
| incident_c(esk8_3(X6,X7,X8),X7)
| incident_c(esk8_3(X6,X7,X8),X8)
| X6 = sum(X7,X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_defn])])])])])])]) ).
fof(c_0_5,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ part_of(X5,X4)
| ~ incident_c(X6,X5)
| incident_c(X6,X4) )
& ( incident_c(esk5_2(X4,X5),X5)
| part_of(X5,X4) )
& ( ~ incident_c(esk5_2(X4,X5),X4)
| part_of(X5,X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[part_of_defn])])])])])])]) ).
fof(c_0_6,negated_conjecture,
( part_of(esk1_0,esk3_0)
& part_of(esk2_0,esk3_0)
& meet(esk4_0,esk1_0,esk2_0)
& ~ part_of(sum(esk1_0,esk2_0),esk3_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_7,plain,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ part_of(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
part_of(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
part_of(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( part_of(X1,X2)
| ~ incident_c(esk5_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X3) ),
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( incident_c(X1,esk3_0)
| ~ incident_c(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( part_of(X1,X2)
| incident_c(esk5_2(X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( incident_c(X1,esk3_0)
| ~ incident_c(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_16,plain,
( part_of(X1,sum(X2,X3))
| ~ incident_c(esk5_2(sum(X2,X3),X1),X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( incident_c(esk5_2(X1,esk2_0),esk3_0)
| part_of(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( X1 = sum(X2,X3)
| incident_c(esk8_3(X1,X2,X3),X3)
| incident_c(esk8_3(X1,X2,X3),X2)
| incident_c(esk8_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,negated_conjecture,
( incident_c(esk5_2(X1,esk1_0),esk3_0)
| part_of(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
part_of(esk2_0,sum(X1,esk3_0)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( sum(X1,X2) = X1
| incident_c(esk8_3(X1,X1,X2),X2)
| incident_c(esk8_3(X1,X1,X2),X1) ),
inference(ef,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
part_of(esk1_0,sum(X1,esk3_0)),
inference(spm,[status(thm)],[c_0_16,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( incident_c(X1,sum(X2,esk3_0))
| ~ incident_c(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_20]) ).
cnf(c_0_24,plain,
( X1 = sum(X2,X3)
| ~ incident_c(esk8_3(X1,X2,X3),X1)
| ~ incident_c(esk8_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,plain,
( sum(X1,X1) = X1
| incident_c(esk8_3(X1,X1,X1),X1) ),
inference(ef,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( incident_c(X4,X3)
| incident_c(X4,X2)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_27,negated_conjecture,
( incident_c(X1,sum(X2,esk3_0))
| ~ incident_c(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( part_of(X1,sum(X2,esk3_0))
| ~ incident_c(esk5_2(sum(X2,esk3_0),X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_23]) ).
cnf(c_0_29,plain,
sum(X1,X1) = X1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_25]) ).
cnf(c_0_30,plain,
( incident_c(X1,X2)
| incident_c(X1,X3)
| ~ incident_c(X1,sum(X3,X2)) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( part_of(X1,sum(X2,esk3_0))
| ~ incident_c(esk5_2(sum(X2,esk3_0),X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( part_of(X1,esk3_0)
| ~ incident_c(esk5_2(esk3_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
( incident_c(esk5_2(X1,sum(X2,X3)),X2)
| incident_c(esk5_2(X1,sum(X2,X3)),X3)
| part_of(sum(X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_14]) ).
cnf(c_0_34,negated_conjecture,
( part_of(X1,esk3_0)
| ~ incident_c(esk5_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_29]) ).
cnf(c_0_35,negated_conjecture,
( incident_c(esk5_2(esk3_0,sum(X1,esk2_0)),X1)
| part_of(sum(X1,esk2_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
~ part_of(sum(esk1_0,esk2_0),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO084+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 03:58:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.017 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 38
% 0.22/1.41 # Proof object clause steps : 31
% 0.22/1.41 # Proof object formula steps : 7
% 0.22/1.41 # Proof object conjectures : 20
% 0.22/1.41 # Proof object clause conjectures : 17
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 10
% 0.22/1.41 # Proof object initial formulas used : 3
% 0.22/1.41 # Proof object generating inferences : 21
% 0.22/1.41 # Proof object simplifying inferences : 2
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 17
% 0.22/1.41 # Removed by relevancy pruning/SinE : 7
% 0.22/1.41 # Initial clauses : 35
% 0.22/1.41 # Removed in clause preprocessing : 0
% 0.22/1.41 # Initial clauses in saturation : 35
% 0.22/1.41 # Processed clauses : 310
% 0.22/1.41 # ...of these trivial : 3
% 0.22/1.41 # ...subsumed : 114
% 0.22/1.41 # ...remaining for further processing : 193
% 0.22/1.41 # Other redundant clauses eliminated : 3
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 4
% 0.22/1.41 # Backward-rewritten : 4
% 0.22/1.41 # Generated clauses : 2056
% 0.22/1.41 # ...of the previous two non-trivial : 1889
% 0.22/1.41 # Contextual simplify-reflections : 59
% 0.22/1.41 # Paramodulations : 1932
% 0.22/1.41 # Factorizations : 118
% 0.22/1.41 # Equation resolutions : 6
% 0.22/1.41 # Current number of processed clauses : 185
% 0.22/1.41 # Positive orientable unit clauses : 22
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 1
% 0.22/1.41 # Non-unit-clauses : 162
% 0.22/1.41 # Current number of unprocessed clauses: 1546
% 0.22/1.41 # ...number of literals in the above : 9114
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 8
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 3910
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 1397
% 0.22/1.41 # Non-unit clause-clause subsumptions : 177
% 0.22/1.41 # Unit Clause-clause subsumption calls : 28
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 40
% 0.22/1.41 # BW rewrite match successes : 4
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 48455
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.091 s
% 0.22/1.41 # System time : 0.004 s
% 0.22/1.41 # Total time : 0.095 s
% 0.22/1.41 # Maximum resident set size: 5648 pages
% 0.22/23.43 eprover: CPU time limit exceeded, terminating
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.49 eprover: No such file or directory
% 0.22/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.49 eprover: No such file or directory
% 0.22/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.50 eprover: No such file or directory
% 0.22/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------