TSTP Solution File: GEO177+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO177+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 0.25s 1.44s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 16 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 73 ( 23 ~; 36 |; 6 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 71 ( 6 sgn 42 !; 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(apart5,axiom,
! [X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X1,X3)
| distinct_lines(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart5) ).
fof(apart2,axiom,
! [X1] : ~ distinct_lines(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart2) ).
fof(p1,axiom,
! [X1,X2] :
( distinct_lines(X1,X2)
=> convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax',p1) ).
fof(cp2,axiom,
! [X1,X2] : ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax',cp2) ).
fof(cp1,axiom,
! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax',cp1) ).
fof(ax6,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).
fof(apart3,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
fof(c_0_9,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_10,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_11,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_9])])]) ).
fof(c_0_12,plain,
! [X4,X5,X6] :
( ~ distinct_lines(X4,X5)
| distinct_lines(X4,X6)
| distinct_lines(X5,X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apart5])])])]) ).
cnf(c_0_13,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| ~ apart_point_and_line(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,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_11]) ).
fof(c_0_15,plain,
! [X2] : ~ distinct_lines(X2,X2),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[apart2])]) ).
cnf(c_0_16,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ distinct_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,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_13,c_0_14]) ).
fof(c_0_18,plain,
! [X3,X4] :
( ~ distinct_lines(X3,X4)
| convergent_lines(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])]) ).
cnf(c_0_19,plain,
~ distinct_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,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),X2)
| distinct_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_21,plain,
! [X3,X4] : ~ apart_point_and_line(X3,parallel_through_point(X4,X3)),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[cp2])]) ).
cnf(c_0_22,plain,
( convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk1_0,X1)
| distinct_lines(X1,line_connecting(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_24,plain,
! [X3,X4] : ~ convergent_lines(parallel_through_point(X4,X3),X4),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[cp1])]) ).
cnf(c_0_25,plain,
~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0))
| apart_point_and_line(esk1_0,X1)
| convergent_lines(X1,line_connecting(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
~ convergent_lines(parallel_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0))
| convergent_lines(parallel_through_point(X1,esk1_0),line_connecting(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
apart_point_and_line(esk2_0,line_connecting(esk3_0,esk4_0)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,negated_conjecture,
( apart_point_and_line(esk2_0,X1)
| distinct_lines(line_connecting(esk3_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_29]) ).
fof(c_0_31,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)],[ax6])])])]) ).
cnf(c_0_32,negated_conjecture,
( apart_point_and_line(esk2_0,X1)
| convergent_lines(line_connecting(esk3_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_30]) ).
cnf(c_0_33,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_34,negated_conjecture,
convergent_lines(line_connecting(esk3_0,esk4_0),parallel_through_point(X1,esk2_0)),
inference(spm,[status(thm)],[c_0_25,c_0_32]) ).
fof(c_0_35,plain,
! [X2] : ~ convergent_lines(X2,X2),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[apart3])]) ).
cnf(c_0_36,negated_conjecture,
( convergent_lines(line_connecting(esk3_0,esk4_0),X1)
| convergent_lines(parallel_through_point(X2,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_38,negated_conjecture,
convergent_lines(line_connecting(esk3_0,esk4_0),X1),
inference(spm,[status(thm)],[c_0_27,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_37,c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO177+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 03:36:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.25/1.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.44 # Preprocessing time : 0.018 s
% 0.25/1.44
% 0.25/1.44 # Proof found!
% 0.25/1.44 # SZS status Theorem
% 0.25/1.44 # SZS output start CNFRefutation
% See solution above
% 0.25/1.44 # Proof object total steps : 40
% 0.25/1.44 # Proof object clause steps : 21
% 0.25/1.44 # Proof object formula steps : 19
% 0.25/1.44 # Proof object conjectures : 16
% 0.25/1.44 # Proof object clause conjectures : 13
% 0.25/1.44 # Proof object formula conjectures : 3
% 0.25/1.44 # Proof object initial clauses used : 9
% 0.25/1.44 # Proof object initial formulas used : 9
% 0.25/1.44 # Proof object generating inferences : 12
% 0.25/1.44 # Proof object simplifying inferences : 0
% 0.25/1.44 # Training examples: 0 positive, 0 negative
% 0.25/1.44 # Parsed axioms : 36
% 0.25/1.44 # Removed by relevancy pruning/SinE : 5
% 0.25/1.44 # Initial clauses : 41
% 0.25/1.44 # Removed in clause preprocessing : 0
% 0.25/1.44 # Initial clauses in saturation : 41
% 0.25/1.44 # Processed clauses : 482
% 0.25/1.44 # ...of these trivial : 3
% 0.25/1.44 # ...subsumed : 204
% 0.25/1.44 # ...remaining for further processing : 275
% 0.25/1.44 # Other redundant clauses eliminated : 0
% 0.25/1.44 # Clauses deleted for lack of memory : 0
% 0.25/1.44 # Backward-subsumed : 60
% 0.25/1.44 # Backward-rewritten : 40
% 0.25/1.44 # Generated clauses : 3458
% 0.25/1.44 # ...of the previous two non-trivial : 3272
% 0.25/1.44 # Contextual simplify-reflections : 65
% 0.25/1.44 # Paramodulations : 3224
% 0.25/1.44 # Factorizations : 234
% 0.25/1.44 # Equation resolutions : 0
% 0.25/1.44 # Current number of processed clauses : 175
% 0.25/1.44 # Positive orientable unit clauses : 23
% 0.25/1.44 # Positive unorientable unit clauses: 0
% 0.25/1.44 # Negative unit clauses : 9
% 0.25/1.44 # Non-unit-clauses : 143
% 0.25/1.44 # Current number of unprocessed clauses: 2048
% 0.25/1.44 # ...number of literals in the above : 12232
% 0.25/1.44 # Current number of archived formulas : 0
% 0.25/1.44 # Current number of archived clauses : 100
% 0.25/1.44 # Clause-clause subsumption calls (NU) : 12318
% 0.25/1.44 # Rec. Clause-clause subsumption calls : 5030
% 0.25/1.44 # Non-unit clause-clause subsumptions : 301
% 0.25/1.44 # Unit Clause-clause subsumption calls : 542
% 0.25/1.44 # Rewrite failures with RHS unbound : 0
% 0.25/1.44 # BW rewrite match attempts : 14
% 0.25/1.44 # BW rewrite match successes : 13
% 0.25/1.44 # Condensation attempts : 0
% 0.25/1.44 # Condensation successes : 0
% 0.25/1.44 # Termbank termtop insertions : 51479
% 0.25/1.44
% 0.25/1.44 # -------------------------------------------------
% 0.25/1.44 # User time : 0.119 s
% 0.25/1.44 # System time : 0.006 s
% 0.25/1.44 # Total time : 0.125 s
% 0.25/1.44 # Maximum resident set size: 5156 pages
%------------------------------------------------------------------------------