TSTP Solution File: GEO566+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO566+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 04:06:23 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 4
% Syntax : Number of formulae : 71 ( 46 unt; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 79 ( 24 ~; 21 |; 29 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 59 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL214028,conjecture,
! [X1,X2,X3,X6,X14,X19,X10,X9] :
( ( perp(X6,X3,X1,X2)
& coll(X6,X1,X2)
& perp(X2,X3,X1,X14)
& perp(X1,X3,X2,X14)
& perp(X19,X6,X2,X3)
& coll(X19,X2,X3)
& perp(X10,X6,X1,X14)
& coll(X10,X1,X14)
& perp(X9,X6,X1,X3)
& coll(X9,X1,X3) )
=> coll(X9,X10,X19) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL214028) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3,X6,X14,X19,X10,X9] :
( ( perp(X6,X3,X1,X2)
& coll(X6,X1,X2)
& perp(X2,X3,X1,X14)
& perp(X1,X3,X2,X14)
& perp(X19,X6,X2,X3)
& coll(X19,X2,X3)
& perp(X10,X6,X1,X14)
& coll(X10,X1,X14)
& perp(X9,X6,X1,X3)
& coll(X9,X1,X3) )
=> coll(X9,X10,X19) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214028]) ).
fof(c_0_5,plain,
! [X4,X5,X6] :
( ~ coll(X4,X5,X6)
| coll(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
fof(c_0_6,negated_conjecture,
( perp(esk4_0,esk3_0,esk1_0,esk2_0)
& coll(esk4_0,esk1_0,esk2_0)
& perp(esk2_0,esk3_0,esk1_0,esk5_0)
& perp(esk1_0,esk3_0,esk2_0,esk5_0)
& perp(esk6_0,esk4_0,esk2_0,esk3_0)
& coll(esk6_0,esk2_0,esk3_0)
& perp(esk7_0,esk4_0,esk1_0,esk5_0)
& coll(esk7_0,esk1_0,esk5_0)
& perp(esk8_0,esk4_0,esk1_0,esk3_0)
& coll(esk8_0,esk1_0,esk3_0)
& ~ coll(esk8_0,esk7_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,plain,
! [X5,X6,X7,X8] :
( ~ coll(X5,X6,X7)
| ~ coll(X5,X6,X8)
| coll(X7,X8,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
fof(c_0_8,plain,
! [X4,X5,X6] :
( ~ coll(X4,X5,X6)
| coll(X5,X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_9,plain,
( coll(X1,X2,X3)
| ~ coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
coll(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( coll(X1,X2,X3)
| ~ coll(X3,X4,X2)
| ~ coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( coll(X1,X2,X3)
| ~ coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
coll(esk4_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( coll(X1,esk2_0,esk4_0)
| ~ coll(esk4_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
coll(esk2_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
coll(esk2_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_14,c_0_10]) ).
cnf(c_0_17,negated_conjecture,
coll(esk6_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( coll(X1,esk1_0,esk2_0)
| ~ coll(esk2_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
coll(esk2_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_9,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
coll(esk6_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_9,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
coll(esk2_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
coll(esk3_0,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
coll(esk2_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_9,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( coll(X1,esk2_0,esk3_0)
| ~ coll(esk3_0,esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( coll(X1,esk1_0,esk2_0)
| ~ coll(esk2_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
coll(esk2_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_24,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
coll(esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
coll(esk3_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_9,c_0_27]) ).
cnf(c_0_29,negated_conjecture,
coll(esk7_0,esk1_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_30,negated_conjecture,
coll(esk2_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_12,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
coll(esk2_0,esk6_0,esk3_0),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_32,negated_conjecture,
coll(esk7_0,esk5_0,esk1_0),
inference(spm,[status(thm)],[c_0_9,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( coll(X1,esk1_0,esk2_0)
| ~ coll(esk2_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
coll(esk2_0,esk3_0,esk6_0),
inference(spm,[status(thm)],[c_0_9,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
coll(esk5_0,esk7_0,esk1_0),
inference(spm,[status(thm)],[c_0_12,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
coll(esk6_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
coll(esk8_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_38,negated_conjecture,
( coll(X1,esk1_0,esk5_0)
| ~ coll(esk5_0,esk7_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
coll(esk6_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_9,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
coll(esk1_0,esk8_0,esk3_0),
inference(spm,[status(thm)],[c_0_12,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
coll(esk1_0,esk1_0,esk5_0),
inference(spm,[status(thm)],[c_0_38,c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( coll(X1,esk1_0,esk6_0)
| ~ coll(esk6_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
coll(esk1_0,esk3_0,esk8_0),
inference(spm,[status(thm)],[c_0_9,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( coll(X1,esk5_0,esk1_0)
| ~ coll(esk1_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
coll(esk1_0,esk1_0,esk6_0),
inference(spm,[status(thm)],[c_0_42,c_0_39]) ).
cnf(c_0_46,negated_conjecture,
( coll(X1,esk2_0,esk3_0)
| ~ coll(esk3_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_27]) ).
cnf(c_0_47,negated_conjecture,
coll(esk3_0,esk1_0,esk8_0),
inference(spm,[status(thm)],[c_0_12,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
coll(esk6_0,esk5_0,esk1_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
coll(esk8_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,negated_conjecture,
coll(esk1_0,esk7_0,esk5_0),
inference(spm,[status(thm)],[c_0_12,c_0_29]) ).
cnf(c_0_51,negated_conjecture,
coll(esk6_0,esk1_0,esk5_0),
inference(spm,[status(thm)],[c_0_9,c_0_48]) ).
cnf(c_0_52,negated_conjecture,
coll(esk8_0,esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_9,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
coll(esk1_0,esk5_0,esk7_0),
inference(spm,[status(thm)],[c_0_9,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
coll(esk1_0,esk6_0,esk5_0),
inference(spm,[status(thm)],[c_0_12,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
coll(esk3_0,esk2_0,esk6_0),
inference(spm,[status(thm)],[c_0_12,c_0_34]) ).
cnf(c_0_56,negated_conjecture,
coll(esk3_0,esk8_0,esk2_0),
inference(spm,[status(thm)],[c_0_12,c_0_52]) ).
cnf(c_0_57,negated_conjecture,
( coll(X1,esk7_0,esk1_0)
| ~ coll(esk1_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
coll(esk1_0,esk5_0,esk6_0),
inference(spm,[status(thm)],[c_0_9,c_0_54]) ).
cnf(c_0_59,negated_conjecture,
( coll(X1,esk6_0,esk3_0)
| ~ coll(esk3_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_55]) ).
cnf(c_0_60,negated_conjecture,
coll(esk3_0,esk2_0,esk8_0),
inference(spm,[status(thm)],[c_0_9,c_0_56]) ).
cnf(c_0_61,negated_conjecture,
coll(esk6_0,esk7_0,esk1_0),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_62,negated_conjecture,
coll(esk8_0,esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_9,c_0_37]) ).
cnf(c_0_63,negated_conjecture,
coll(esk8_0,esk6_0,esk3_0),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
coll(esk6_0,esk1_0,esk7_0),
inference(spm,[status(thm)],[c_0_9,c_0_61]) ).
cnf(c_0_65,negated_conjecture,
( coll(X1,esk1_0,esk8_0)
| ~ coll(esk8_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_62]) ).
cnf(c_0_66,negated_conjecture,
coll(esk8_0,esk3_0,esk6_0),
inference(spm,[status(thm)],[c_0_9,c_0_63]) ).
cnf(c_0_67,negated_conjecture,
( coll(X1,esk7_0,esk6_0)
| ~ coll(esk6_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_64]) ).
cnf(c_0_68,negated_conjecture,
coll(esk6_0,esk1_0,esk8_0),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,negated_conjecture,
~ coll(esk8_0,esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO566+1 : TPTP v8.1.0. Released v7.5.0.
% 0.02/0.12 % Command : run_ET %s %d
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 18 03:25:31 EDT 2022
% 0.11/0.33 % 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 : 0.021 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 : 71
% 0.22/1.41 # Proof object clause steps : 62
% 0.22/1.41 # Proof object formula steps : 9
% 0.22/1.41 # Proof object conjectures : 62
% 0.22/1.41 # Proof object clause conjectures : 59
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 8
% 0.22/1.41 # Proof object initial formulas used : 4
% 0.22/1.41 # Proof object generating inferences : 54
% 0.22/1.41 # Proof object simplifying inferences : 1
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 95
% 0.22/1.41 # Removed by relevancy pruning/SinE : 43
% 0.22/1.41 # Initial clauses : 77
% 0.22/1.41 # Removed in clause preprocessing : 0
% 0.22/1.41 # Initial clauses in saturation : 77
% 0.22/1.41 # Processed clauses : 1403
% 0.22/1.41 # ...of these trivial : 68
% 0.22/1.41 # ...subsumed : 286
% 0.22/1.41 # ...remaining for further processing : 1049
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 234
% 0.22/1.41 # Backward-rewritten : 3
% 0.22/1.41 # Generated clauses : 9218
% 0.22/1.41 # ...of the previous two non-trivial : 8482
% 0.22/1.41 # Contextual simplify-reflections : 3
% 0.22/1.41 # Paramodulations : 9218
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 0
% 0.22/1.41 # Current number of processed clauses : 812
% 0.22/1.41 # Positive orientable unit clauses : 410
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 1
% 0.22/1.41 # Non-unit-clauses : 401
% 0.22/1.41 # Current number of unprocessed clauses: 5386
% 0.22/1.41 # ...number of literals in the above : 19769
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 237
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 31519
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 28474
% 0.22/1.41 # Non-unit clause-clause subsumptions : 291
% 0.22/1.41 # Unit Clause-clause subsumption calls : 10843
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 1291
% 0.22/1.41 # BW rewrite match successes : 88
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 140106
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.257 s
% 0.22/1.41 # System time : 0.009 s
% 0.22/1.41 # Total time : 0.266 s
% 0.22/1.41 # Maximum resident set size: 10384 pages
%------------------------------------------------------------------------------