TSTP Solution File: GEO191+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO191+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.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 04:04:30 EDT 2022
% Result : Theorem 0.27s 1.44s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 13 unt; 0 def)
% Number of atoms : 150 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 140 ( 41 ~; 80 |; 10 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X1,X2,X4,X5] :
( ( convergent_lines(X1,X2)
& convergent_lines(X4,X5)
& ( apart_point_and_line(intersection_point(X1,X2),X4)
| apart_point_and_line(intersection_point(X1,X2),X5) ) )
=> ( apart_point_and_line(intersection_point(X4,X5),X1)
| apart_point_and_line(intersection_point(X4,X5),X2) ) ),
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(con2,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( ( apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X2) )
=> distinct_points(X3,intersection_point(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con2) ).
fof(apart6,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart6) ).
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(ceq3,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> distinct_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq3) ).
fof(apart3,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart3) ).
fof(apart1,axiom,
! [X1] : ~ distinct_points(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
fof(ceq1,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_points(X1,X3)
| apart_point_and_line(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq1) ).
fof(c_0_9,negated_conjecture,
~ ! [X1,X2,X4,X5] :
( ( convergent_lines(X1,X2)
& convergent_lines(X4,X5)
& ( apart_point_and_line(intersection_point(X1,X2),X4)
| apart_point_and_line(intersection_point(X1,X2),X5) ) )
=> ( apart_point_and_line(intersection_point(X4,X5),X1)
| apart_point_and_line(intersection_point(X4,X5),X2) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_10,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_11,plain,
! [X4,X5,X6] :
( ( ~ apart_point_and_line(X6,X4)
| distinct_points(X6,intersection_point(X4,X5))
| ~ convergent_lines(X4,X5) )
& ( ~ apart_point_and_line(X6,X5)
| distinct_points(X6,intersection_point(X4,X5))
| ~ convergent_lines(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)],[con2])])])])]) ).
fof(c_0_12,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| convergent_lines(X4,X6)
| convergent_lines(X5,X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apart6])])])]) ).
fof(c_0_13,negated_conjecture,
( convergent_lines(esk1_0,esk2_0)
& convergent_lines(esk3_0,esk4_0)
& ( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk4_0) )
& ~ apart_point_and_line(intersection_point(esk3_0,esk4_0),esk1_0)
& ~ apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_14,plain,
( distinct_points(X1,X2)
| distinct_points(X3,X2)
| ~ distinct_points(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( distinct_points(X3,intersection_point(X1,X2))
| ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,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])]) ).
fof(c_0_17,plain,
! [X3,X4] :
( ~ convergent_lines(X3,X4)
| distinct_lines(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq3])]) ).
fof(c_0_18,plain,
! [X2] : ~ convergent_lines(X2,X2),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[apart3])]) ).
cnf(c_0_19,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( distinct_points(intersection_point(X1,X2),X3)
| distinct_points(X4,X3)
| ~ apart_point_and_line(X4,X2)
| ~ convergent_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk4_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,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_16]) ).
cnf(c_0_24,plain,
( distinct_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,negated_conjecture,
( convergent_lines(esk1_0,X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_27,plain,
! [X2] : ~ distinct_points(X2,X2),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[apart1])]) ).
cnf(c_0_28,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| distinct_points(intersection_point(esk1_0,esk2_0),X1)
| distinct_points(intersection_point(X2,esk4_0),X1)
| ~ convergent_lines(X2,esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,negated_conjecture,
convergent_lines(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_30,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)
| ~ convergent_lines(X2,X3)
| ~ distinct_points(X1,X4) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
convergent_lines(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| distinct_points(intersection_point(esk3_0,esk4_0),X1)
| distinct_points(intersection_point(esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
( distinct_points(X3,intersection_point(X1,X2))
| ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_35,negated_conjecture,
( apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X2,esk1_0)
| apart_point_and_line(X2,esk2_0)
| ~ distinct_points(X2,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| distinct_points(intersection_point(esk3_0,esk4_0),intersection_point(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
~ apart_point_and_line(intersection_point(esk3_0,esk4_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_38,negated_conjecture,
~ apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_39,plain,
! [X4,X5,X6] :
( ~ apart_point_and_line(X4,X5)
| distinct_points(X4,X6)
| apart_point_and_line(X6,X5) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq1])])])]) ).
cnf(c_0_40,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X1)
| ~ convergent_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38]) ).
cnf(c_0_42,plain,
( apart_point_and_line(X1,X2)
| distinct_points(X3,X1)
| ~ apart_point_and_line(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_20])]) ).
cnf(c_0_44,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(X1,esk3_0)
| distinct_points(intersection_point(esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_45,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
| apart_point_and_line(X1,esk3_0)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_44]) ).
cnf(c_0_46,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X2)
| ~ convergent_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_15]) ).
cnf(c_0_47,negated_conjecture,
( apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_45]),c_0_20])]) ).
cnf(c_0_48,negated_conjecture,
( apart_point_and_line(X1,esk3_0)
| apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_20])]) ).
cnf(c_0_49,negated_conjecture,
apart_point_and_line(intersection_point(esk3_0,esk4_0),esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_48]),c_0_38]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_49]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO191+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n004.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 : Sat Jun 18 01:32:38 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.27/1.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.27/1.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.27/1.44 # Preprocessing time : 0.015 s
% 0.27/1.44
% 0.27/1.44 # Proof found!
% 0.27/1.44 # SZS status Theorem
% 0.27/1.44 # SZS output start CNFRefutation
% See solution above
% 0.27/1.44 # Proof object total steps : 51
% 0.27/1.44 # Proof object clause steps : 32
% 0.27/1.44 # Proof object formula steps : 19
% 0.27/1.44 # Proof object conjectures : 22
% 0.27/1.44 # Proof object clause conjectures : 19
% 0.27/1.44 # Proof object formula conjectures : 3
% 0.27/1.44 # Proof object initial clauses used : 14
% 0.27/1.44 # Proof object initial formulas used : 9
% 0.27/1.44 # Proof object generating inferences : 18
% 0.27/1.44 # Proof object simplifying inferences : 11
% 0.27/1.44 # Training examples: 0 positive, 0 negative
% 0.27/1.44 # Parsed axioms : 13
% 0.27/1.44 # Removed by relevancy pruning/SinE : 1
% 0.27/1.44 # Initial clauses : 17
% 0.27/1.44 # Removed in clause preprocessing : 0
% 0.27/1.44 # Initial clauses in saturation : 17
% 0.27/1.44 # Processed clauses : 369
% 0.27/1.44 # ...of these trivial : 2
% 0.27/1.44 # ...subsumed : 178
% 0.27/1.44 # ...remaining for further processing : 189
% 0.27/1.44 # Other redundant clauses eliminated : 0
% 0.27/1.44 # Clauses deleted for lack of memory : 0
% 0.27/1.44 # Backward-subsumed : 16
% 0.27/1.44 # Backward-rewritten : 15
% 0.27/1.44 # Generated clauses : 2034
% 0.27/1.44 # ...of the previous two non-trivial : 1888
% 0.27/1.44 # Contextual simplify-reflections : 115
% 0.27/1.44 # Paramodulations : 1858
% 0.27/1.44 # Factorizations : 176
% 0.27/1.44 # Equation resolutions : 0
% 0.27/1.44 # Current number of processed clauses : 158
% 0.27/1.44 # Positive orientable unit clauses : 11
% 0.27/1.44 # Positive unorientable unit clauses: 0
% 0.27/1.44 # Negative unit clauses : 5
% 0.27/1.44 # Non-unit-clauses : 142
% 0.27/1.44 # Current number of unprocessed clauses: 1337
% 0.27/1.44 # ...number of literals in the above : 8214
% 0.27/1.44 # Current number of archived formulas : 0
% 0.27/1.44 # Current number of archived clauses : 31
% 0.27/1.44 # Clause-clause subsumption calls (NU) : 8139
% 0.27/1.44 # Rec. Clause-clause subsumption calls : 1744
% 0.27/1.44 # Non-unit clause-clause subsumptions : 305
% 0.27/1.44 # Unit Clause-clause subsumption calls : 308
% 0.27/1.44 # Rewrite failures with RHS unbound : 0
% 0.27/1.44 # BW rewrite match attempts : 4
% 0.27/1.44 # BW rewrite match successes : 4
% 0.27/1.44 # Condensation attempts : 0
% 0.27/1.44 # Condensation successes : 0
% 0.27/1.44 # Termbank termtop insertions : 34884
% 0.27/1.44
% 0.27/1.44 # -------------------------------------------------
% 0.27/1.44 # User time : 0.085 s
% 0.27/1.44 # System time : 0.003 s
% 0.27/1.44 # Total time : 0.088 s
% 0.27/1.44 # Maximum resident set size: 4136 pages
%------------------------------------------------------------------------------