TSTP Solution File: GEO204+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO204+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 04:04:39 EDT 2022
% Result : Theorem 0.21s 1.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 11 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 89 ( 27 ~; 47 |; 9 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X1,X2,X3] :
( ( distinct_points(X1,X2)
& ~ distinct_points(X2,X3) )
=> ( distinct_points(X1,X3)
& ~ distinct_lines(line_connecting(X1,X2),line_connecting(X1,X3)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).
fof(apart4,axiom,
! [X1,X2,X3] :
( distinct_points(X1,X2)
=> ( distinct_points(X1,X3)
| distinct_points(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart4) ).
fof(apart1,axiom,
! [X1] : ~ distinct_points(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
fof(cu1,axiom,
! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& distinct_lines(X4,X5) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X5)
| apart_point_and_line(X2,X4)
| apart_point_and_line(X2,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',cu1) ).
fof(con1,axiom,
! [X1,X2,X3] :
( distinct_points(X1,X2)
=> ( apart_point_and_line(X3,line_connecting(X1,X2))
=> ( distinct_points(X3,X1)
& distinct_points(X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2,X3] :
( ( distinct_points(X1,X2)
& ~ distinct_points(X2,X3) )
=> ( distinct_points(X1,X3)
& ~ distinct_lines(line_connecting(X1,X2),line_connecting(X1,X3)) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_6,plain,
! [X4,X5,X6] :
( ~ distinct_points(X4,X5)
| distinct_points(X4,X6)
| distinct_points(X5,X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apart4])])])]) ).
fof(c_0_7,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& ~ distinct_points(esk2_0,esk3_0)
& ( ~ distinct_points(esk1_0,esk3_0)
| distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_5])])])]) ).
cnf(c_0_8,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| ~ distinct_points(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X2] : ~ distinct_points(X2,X2),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[apart1])]) ).
cnf(c_0_11,negated_conjecture,
( distinct_points(esk1_0,X1)
| distinct_points(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( distinct_points(esk2_0,X1)
| distinct_points(esk1_0,X2)
| distinct_points(X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( distinct_points(X1,esk1_0)
| distinct_points(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
~ distinct_points(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
( distinct_points(X1,esk1_0)
| distinct_points(esk2_0,X2)
| distinct_points(X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( distinct_points(X1,esk3_0)
| distinct_points(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_18,plain,
! [X6,X7,X8,X9] :
( ~ distinct_points(X6,X7)
| ~ distinct_lines(X8,X9)
| apart_point_and_line(X6,X8)
| apart_point_and_line(X6,X9)
| apart_point_and_line(X7,X8)
| apart_point_and_line(X7,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cu1])]) ).
cnf(c_0_19,negated_conjecture,
( distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0))
| ~ distinct_points(esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,negated_conjecture,
distinct_points(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_21,plain,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X4,X2)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X2)
| ~ distinct_points(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk1_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).
cnf(c_0_23,negated_conjecture,
( distinct_points(esk1_0,X1)
| distinct_points(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_20]) ).
fof(c_0_24,plain,
! [X4,X5,X6] :
( ( distinct_points(X6,X4)
| ~ apart_point_and_line(X6,line_connecting(X4,X5))
| ~ distinct_points(X4,X5) )
& ( distinct_points(X6,X5)
| ~ apart_point_and_line(X6,line_connecting(X4,X5))
| ~ distinct_points(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[con1])])])])]) ).
cnf(c_0_25,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(X1,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(X2,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(X2,line_connecting(esk1_0,esk3_0))
| ~ distinct_points(X1,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
distinct_points(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_12,c_0_23]) ).
cnf(c_0_27,plain,
( distinct_points(X3,X1)
| ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X3,line_connecting(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,plain,
( distinct_points(X3,X2)
| ~ distinct_points(X1,X2)
| ~ apart_point_and_line(X3,line_connecting(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk3_0))
| apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_20])]),c_0_12]) ).
cnf(c_0_31,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_20])]),c_0_12]) ).
cnf(c_0_32,negated_conjecture,
apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_31]),c_0_9])]),c_0_12]) ).
cnf(c_0_33,negated_conjecture,
distinct_points(esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_32]),c_0_9])]) ).
cnf(c_0_34,negated_conjecture,
( distinct_points(esk3_0,X1)
| distinct_points(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_33]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_34]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO204+2 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.12 % Command : run_ET %s %d
% 0.10/0.32 % Computer : n018.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 600
% 0.10/0.32 % DateTime : Sat Jun 18 05:33:47 EDT 2022
% 0.10/0.33 % CPUTime :
% 0.21/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40 # Preprocessing time : 0.015 s
% 0.21/1.40
% 0.21/1.40 # Proof found!
% 0.21/1.40 # SZS status Theorem
% 0.21/1.40 # SZS output start CNFRefutation
% See solution above
% 0.21/1.40 # Proof object total steps : 36
% 0.21/1.40 # Proof object clause steps : 25
% 0.21/1.40 # Proof object formula steps : 11
% 0.21/1.40 # Proof object conjectures : 23
% 0.21/1.40 # Proof object clause conjectures : 20
% 0.21/1.40 # Proof object formula conjectures : 3
% 0.21/1.40 # Proof object initial clauses used : 8
% 0.21/1.40 # Proof object initial formulas used : 5
% 0.21/1.40 # Proof object generating inferences : 16
% 0.21/1.40 # Proof object simplifying inferences : 14
% 0.21/1.40 # Training examples: 0 positive, 0 negative
% 0.21/1.40 # Parsed axioms : 13
% 0.21/1.40 # Removed by relevancy pruning/SinE : 4
% 0.21/1.40 # Initial clauses : 12
% 0.21/1.40 # Removed in clause preprocessing : 0
% 0.21/1.40 # Initial clauses in saturation : 12
% 0.21/1.40 # Processed clauses : 110
% 0.21/1.40 # ...of these trivial : 0
% 0.21/1.40 # ...subsumed : 59
% 0.21/1.40 # ...remaining for further processing : 51
% 0.21/1.40 # Other redundant clauses eliminated : 0
% 0.21/1.40 # Clauses deleted for lack of memory : 0
% 0.21/1.40 # Backward-subsumed : 2
% 0.21/1.40 # Backward-rewritten : 4
% 0.21/1.40 # Generated clauses : 389
% 0.21/1.40 # ...of the previous two non-trivial : 323
% 0.21/1.40 # Contextual simplify-reflections : 25
% 0.21/1.40 # Paramodulations : 253
% 0.21/1.40 # Factorizations : 136
% 0.21/1.40 # Equation resolutions : 0
% 0.21/1.40 # Current number of processed clauses : 45
% 0.21/1.40 # Positive orientable unit clauses : 7
% 0.21/1.40 # Positive unorientable unit clauses: 0
% 0.21/1.40 # Negative unit clauses : 3
% 0.21/1.40 # Non-unit-clauses : 35
% 0.21/1.40 # Current number of unprocessed clauses: 214
% 0.21/1.40 # ...number of literals in the above : 1063
% 0.21/1.40 # Current number of archived formulas : 0
% 0.21/1.40 # Current number of archived clauses : 6
% 0.21/1.40 # Clause-clause subsumption calls (NU) : 983
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 659
% 0.21/1.40 # Non-unit clause-clause subsumptions : 86
% 0.21/1.40 # Unit Clause-clause subsumption calls : 8
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 2
% 0.21/1.40 # BW rewrite match successes : 2
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 5413
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.024 s
% 0.21/1.40 # System time : 0.001 s
% 0.21/1.40 # Total time : 0.025 s
% 0.21/1.40 # Maximum resident set size: 3080 pages
%------------------------------------------------------------------------------