TSTP Solution File: GEO177+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO177+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n014.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 04:04:19 EDT 2022
% Result : Theorem 0.26s 1.44s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 13 unt; 0 def)
% Number of atoms : 151 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 133 ( 34 ~; 81 |; 7 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 78 ( 1 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& distinct_points(X4,X5) )
=> ( ( apart_point_and_line(X1,line_connecting(X4,X5))
| apart_point_and_line(X2,line_connecting(X4,X5)) )
=> ( apart_point_and_line(X4,line_connecting(X1,X2))
| apart_point_and_line(X5,line_connecting(X1,X2)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).
fof(ceq2,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_lines(X2,X3)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq2) ).
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/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).
fof(apart4,axiom,
! [X1,X2,X3] :
( distinct_points(X1,X2)
=> ( distinct_points(X1,X3)
| distinct_points(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart4) ).
fof(ci1,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci1) ).
fof(ci2,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci2) ).
fof(apart1,axiom,
! [X1] : ~ distinct_points(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart1) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& distinct_points(X4,X5) )
=> ( ( apart_point_and_line(X1,line_connecting(X4,X5))
| apart_point_and_line(X2,line_connecting(X4,X5)) )
=> ( apart_point_and_line(X4,line_connecting(X1,X2))
| apart_point_and_line(X5,line_connecting(X1,X2)) ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_8,plain,
! [X4,X5,X6] :
( ~ apart_point_and_line(X4,X5)
| distinct_lines(X5,X6)
| apart_point_and_line(X4,X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq2])])])]) ).
fof(c_0_9,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& distinct_points(esk3_0,esk4_0)
& ( apart_point_and_line(esk1_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0)) )
& ~ apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
& ~ apart_point_and_line(esk4_0,line_connecting(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_10,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_11,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| ~ apart_point_and_line(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk1_0,line_connecting(esk3_0,esk4_0)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,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])])])]) ).
cnf(c_0_14,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_10]) ).
cnf(c_0_15,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk1_0,X1)
| distinct_lines(line_connecting(esk3_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| ~ distinct_points(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
distinct_points(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_18,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ci1])])]) ).
cnf(c_0_19,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(X1,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(X2,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk1_0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( distinct_points(esk3_0,X1)
| distinct_points(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( apart_point_and_line(esk4_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk3_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk4_0,X1)
| apart_point_and_line(esk3_0,X1)
| apart_point_and_line(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( distinct_points(esk3_0,X1)
| distinct_points(esk4_0,X2)
| distinct_points(X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_20]) ).
fof(c_0_24,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ci2])])]) ).
cnf(c_0_25,negated_conjecture,
~ apart_point_and_line(esk4_0,line_connecting(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk3_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk4_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk3_0,line_connecting(esk1_0,X1))
| apart_point_and_line(esk4_0,line_connecting(esk1_0,X1))
| ~ distinct_points(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,negated_conjecture,
~ apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_29,negated_conjecture,
( distinct_points(esk4_0,X1)
| distinct_points(esk3_0,X2)
| distinct_points(X2,X3)
| distinct_points(X1,X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_23]) ).
fof(c_0_30,plain,
! [X2] : ~ distinct_points(X2,X2),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[apart1])]) ).
fof(c_0_31,plain,
( ~ epred5_0
<=> ! [X7] : distinct_points(esk3_0,X7) ),
introduced(definition) ).
cnf(c_0_32,plain,
( ~ apart_point_and_line(X1,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( apart_point_and_line(esk4_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk3_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]),c_0_28]) ).
fof(c_0_34,plain,
( ~ epred6_0
<=> ! [X8] :
( distinct_points(esk4_0,X8)
| distinct_points(X8,esk3_0) ) ),
introduced(definition) ).
cnf(c_0_35,negated_conjecture,
( distinct_points(esk3_0,X1)
| distinct_points(esk4_0,X2)
| distinct_points(X2,X3)
| distinct_points(X1,X4)
| distinct_points(X3,X4) ),
inference(spm,[status(thm)],[c_0_16,c_0_29]) ).
cnf(c_0_36,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,negated_conjecture,
( epred5_0
| distinct_points(esk3_0,X1) ),
inference(split_equiv,[status(thm)],[c_0_31]) ).
cnf(c_0_38,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk3_0,line_connecting(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_17])]) ).
cnf(c_0_39,negated_conjecture,
( ~ epred6_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_35]),c_0_36]),c_0_31]),c_0_34]) ).
cnf(c_0_40,negated_conjecture,
epred5_0,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_38]),c_0_17])]) ).
cnf(c_0_42,negated_conjecture,
~ epred6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).
cnf(c_0_43,negated_conjecture,
( apart_point_and_line(esk2_0,X1)
| distinct_lines(line_connecting(esk3_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( distinct_points(X1,esk3_0)
| distinct_points(esk4_0,X1) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_34]),c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(X2,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk2_0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_43]) ).
cnf(c_0_46,negated_conjecture,
distinct_points(esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_36,c_0_44]) ).
cnf(c_0_47,negated_conjecture,
( apart_point_and_line(esk3_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk4_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk3_0,X1)
| apart_point_and_line(esk4_0,X1)
| apart_point_and_line(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_48,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk4_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk3_0,line_connecting(esk3_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_47]),c_0_28]) ).
cnf(c_0_49,negated_conjecture,
( apart_point_and_line(esk3_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_48]),c_0_17])]) ).
cnf(c_0_50,negated_conjecture,
apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_49]),c_0_17])]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_50]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO177+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 23:28:04 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.26/1.44 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.26/1.44 # Preprocessing time : 0.014 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 : 52
% 0.26/1.44 # Proof object clause steps : 35
% 0.26/1.44 # Proof object formula steps : 17
% 0.26/1.44 # Proof object conjectures : 32
% 0.26/1.44 # Proof object clause conjectures : 29
% 0.26/1.44 # Proof object formula conjectures : 3
% 0.26/1.44 # Proof object initial clauses used : 12
% 0.26/1.44 # Proof object initial formulas used : 7
% 0.26/1.44 # Proof object generating inferences : 21
% 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 : 15
% 0.26/1.44 # Removed by relevancy pruning/SinE : 0
% 0.26/1.44 # Initial clauses : 19
% 0.26/1.44 # Removed in clause preprocessing : 0
% 0.26/1.44 # Initial clauses in saturation : 19
% 0.26/1.44 # Processed clauses : 362
% 0.26/1.44 # ...of these trivial : 5
% 0.26/1.44 # ...subsumed : 174
% 0.26/1.44 # ...remaining for further processing : 183
% 0.26/1.44 # Other redundant clauses eliminated : 0
% 0.26/1.44 # Clauses deleted for lack of memory : 0
% 0.26/1.44 # Backward-subsumed : 56
% 0.26/1.44 # Backward-rewritten : 33
% 0.26/1.44 # Generated clauses : 1959
% 0.26/1.44 # ...of the previous two non-trivial : 1865
% 0.26/1.44 # Contextual simplify-reflections : 207
% 0.26/1.44 # Paramodulations : 1575
% 0.26/1.44 # Factorizations : 370
% 0.26/1.44 # Equation resolutions : 0
% 0.26/1.44 # Current number of processed clauses : 88
% 0.26/1.44 # Positive orientable unit clauses : 10
% 0.26/1.44 # Positive unorientable unit clauses: 0
% 0.26/1.44 # Negative unit clauses : 7
% 0.26/1.44 # Non-unit-clauses : 71
% 0.26/1.44 # Current number of unprocessed clauses: 477
% 0.26/1.44 # ...number of literals in the above : 2489
% 0.26/1.44 # Current number of archived formulas : 0
% 0.26/1.44 # Current number of archived clauses : 89
% 0.26/1.44 # Clause-clause subsumption calls (NU) : 10098
% 0.26/1.44 # Rec. Clause-clause subsumption calls : 2914
% 0.26/1.44 # Non-unit clause-clause subsumptions : 429
% 0.26/1.44 # Unit Clause-clause subsumption calls : 292
% 0.26/1.44 # Rewrite failures with RHS unbound : 0
% 0.26/1.44 # BW rewrite match attempts : 7
% 0.26/1.44 # BW rewrite match successes : 7
% 0.26/1.44 # Condensation attempts : 0
% 0.26/1.44 # Condensation successes : 0
% 0.26/1.44 # Termbank termtop insertions : 38218
% 0.26/1.44
% 0.26/1.44 # -------------------------------------------------
% 0.26/1.44 # User time : 0.068 s
% 0.26/1.44 # System time : 0.005 s
% 0.26/1.44 # Total time : 0.073 s
% 0.26/1.44 # Maximum resident set size: 4140 pages
% 0.26/23.44 eprover: CPU time limit exceeded, terminating
% 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
% 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
% 0.26/23.47 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
% 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
% 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
% 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
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------