TSTP Solution File: GEO199+2 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO199+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:32:03 EDT 2023
% Result : Theorem 0.16s 0.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 19 unt; 0 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 126 ( 45 ~; 60 |; 12 &)
% ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 88 ( 0 sgn; 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X1,X2,X3] :
( ( convergent_lines(X1,X2)
& convergent_lines(X3,X2)
& convergent_lines(X1,X3)
& ~ apart_point_and_line(intersection_point(X1,X2),X3) )
=> ~ apart_point_and_line(intersection_point(X2,X1),X3) ),
file('/export/starexec/sandbox/tmp/tmp.0nFFepp6TP/E---3.1_2679.p',con) ).
fof(apart3,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.0nFFepp6TP/E---3.1_2679.p',apart3) ).
fof(apart6,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.0nFFepp6TP/E---3.1_2679.p',apart6) ).
fof(apart5,axiom,
! [X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X1,X3)
| distinct_lines(X2,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.0nFFepp6TP/E---3.1_2679.p',apart5) ).
fof(ceq3,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> distinct_lines(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.0nFFepp6TP/E---3.1_2679.p',ceq3) ).
fof(apart2,axiom,
! [X1] : ~ distinct_lines(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.0nFFepp6TP/E---3.1_2679.p',apart2) ).
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/tmp/tmp.0nFFepp6TP/E---3.1_2679.p',cu1) ).
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/sandbox/tmp/tmp.0nFFepp6TP/E---3.1_2679.p',ceq1) ).
fof(apart1,axiom,
! [X1] : ~ distinct_points(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.0nFFepp6TP/E---3.1_2679.p',apart1) ).
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/sandbox/tmp/tmp.0nFFepp6TP/E---3.1_2679.p',con2) ).
fof(c_0_10,negated_conjecture,
~ ! [X1,X2,X3] :
( ( convergent_lines(X1,X2)
& convergent_lines(X3,X2)
& convergent_lines(X1,X3)
& ~ apart_point_and_line(intersection_point(X1,X2),X3) )
=> ~ apart_point_and_line(intersection_point(X2,X1),X3) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).
fof(c_0_11,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[apart3]) ).
fof(c_0_12,plain,
! [X15,X16,X17] :
( ~ convergent_lines(X15,X16)
| convergent_lines(X15,X17)
| convergent_lines(X16,X17) ),
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,esk2_0)
& convergent_lines(esk1_0,esk3_0)
& ~ apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)
& apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_14,plain,
! [X12,X13,X14] :
( ~ distinct_lines(X12,X13)
| distinct_lines(X12,X14)
| distinct_lines(X13,X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apart5])]) ).
fof(c_0_15,plain,
! [X34,X35] :
( ~ convergent_lines(X34,X35)
| distinct_lines(X34,X35) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq3])]) ).
fof(c_0_16,plain,
! [X8] : ~ convergent_lines(X8,X8),
inference(variable_rename,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( convergent_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_19,plain,
! [X1] : ~ distinct_lines(X1,X1),
inference(fof_simplification,[status(thm)],[apart2]) ).
cnf(c_0_20,plain,
( distinct_lines(X1,X3)
| distinct_lines(X2,X3)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( distinct_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
( convergent_lines(esk1_0,X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_24,plain,
! [X7] : ~ distinct_lines(X7,X7),
inference(variable_rename,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( distinct_lines(X1,X2)
| distinct_lines(X3,X2)
| ~ convergent_lines(X1,X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
convergent_lines(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_27,plain,
! [X24,X25,X26,X27] :
( ~ distinct_points(X24,X25)
| ~ distinct_lines(X26,X27)
| apart_point_and_line(X24,X26)
| apart_point_and_line(X24,X27)
| apart_point_and_line(X25,X26)
| apart_point_and_line(X25,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cu1])]) ).
cnf(c_0_28,plain,
~ distinct_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( distinct_lines(esk1_0,X1)
| distinct_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_30,plain,
! [X28,X29,X30] :
( ~ apart_point_and_line(X28,X29)
| distinct_points(X28,X30)
| apart_point_and_line(X30,X29) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq1])]) ).
fof(c_0_31,plain,
! [X1] : ~ distinct_points(X1,X1),
inference(fof_simplification,[status(thm)],[apart1]) ).
cnf(c_0_32,plain,
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X4)
| ~ distinct_points(X1,X2)
| ~ distinct_lines(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
distinct_lines(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
( distinct_points(X1,X3)
| apart_point_and_line(X3,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,negated_conjecture,
apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_36,plain,
! [X6] : ~ distinct_points(X6,X6),
inference(variable_rename,[status(thm)],[c_0_31]) ).
fof(c_0_37,plain,
! [X21,X22,X23] :
( ( ~ apart_point_and_line(X23,X21)
| distinct_points(X23,intersection_point(X21,X22))
| ~ convergent_lines(X21,X22) )
& ( ~ apart_point_and_line(X23,X22)
| distinct_points(X23,intersection_point(X21,X22))
| ~ convergent_lines(X21,X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[con2])])]) ).
cnf(c_0_38,negated_conjecture,
( apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X2,esk2_0)
| apart_point_and_line(X2,esk1_0)
| ~ distinct_points(X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( apart_point_and_line(X1,esk3_0)
| distinct_points(intersection_point(esk2_0,esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
( distinct_points(X1,intersection_point(X2,X3))
| ~ apart_point_and_line(X1,X2)
| ~ convergent_lines(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,negated_conjecture,
~ apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_43,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(X1,esk3_0)
| apart_point_and_line(X1,esk1_0)
| apart_point_and_line(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
( distinct_points(X1,intersection_point(X3,X2))
| ~ apart_point_and_line(X1,X2)
| ~ convergent_lines(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X1)
| ~ convergent_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,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(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X2)
| ~ convergent_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_18])]) ).
cnf(c_0_49,negated_conjecture,
( apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)
| apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_18])]) ).
cnf(c_0_50,negated_conjecture,
apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_49]),c_0_26])]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_50]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO199+2 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Oct 3 06:47:44 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.45 Running first-order theorem proving
% 0.16/0.45 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.0nFFepp6TP/E---3.1_2679.p
% 0.16/0.48 # Version: 3.1pre001
% 0.16/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.48 # Starting sh5l with 300s (1) cores
% 0.16/0.48 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2764 completed with status 0
% 0.16/0.48 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.48 # No SInE strategy applied
% 0.16/0.48 # Search class: FGUNF-FFSS22-SFFFFFNN
% 0.16/0.48 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.48 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.16/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.48 # Starting new_bool_3 with 136s (1) cores
% 0.16/0.48 # Starting new_bool_1 with 136s (1) cores
% 0.16/0.48 # Starting sh5l with 136s (1) cores
% 0.16/0.48 # SAT001_MinMin_p005000_rr_RG with pid 2771 completed with status 0
% 0.16/0.48 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.48 # No SInE strategy applied
% 0.16/0.48 # Search class: FGUNF-FFSS22-SFFFFFNN
% 0.16/0.48 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.48 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.16/0.48 # Preprocessing time : 0.001 s
% 0.16/0.48 # Presaturation interreduction done
% 0.16/0.48
% 0.16/0.48 # Proof found!
% 0.16/0.48 # SZS status Theorem
% 0.16/0.48 # SZS output start CNFRefutation
% See solution above
% 0.16/0.48 # Parsed axioms : 13
% 0.16/0.48 # Removed by relevancy pruning/SinE : 0
% 0.16/0.48 # Initial clauses : 19
% 0.16/0.48 # Removed in clause preprocessing : 0
% 0.16/0.48 # Initial clauses in saturation : 19
% 0.16/0.48 # Processed clauses : 271
% 0.16/0.48 # ...of these trivial : 0
% 0.16/0.48 # ...subsumed : 111
% 0.16/0.48 # ...remaining for further processing : 160
% 0.16/0.48 # Other redundant clauses eliminated : 0
% 0.16/0.48 # Clauses deleted for lack of memory : 0
% 0.16/0.48 # Backward-subsumed : 10
% 0.16/0.48 # Backward-rewritten : 1
% 0.16/0.48 # Generated clauses : 859
% 0.16/0.48 # ...of the previous two non-redundant : 680
% 0.16/0.48 # ...aggressively subsumed : 0
% 0.16/0.48 # Contextual simplify-reflections : 0
% 0.16/0.48 # Paramodulations : 747
% 0.16/0.48 # Factorizations : 112
% 0.16/0.48 # NegExts : 0
% 0.16/0.48 # Equation resolutions : 0
% 0.16/0.48 # Total rewrite steps : 194
% 0.16/0.48 # Propositional unsat checks : 0
% 0.16/0.48 # Propositional check models : 0
% 0.16/0.48 # Propositional check unsatisfiable : 0
% 0.16/0.48 # Propositional clauses : 0
% 0.16/0.48 # Propositional clauses after purity: 0
% 0.16/0.48 # Propositional unsat core size : 0
% 0.16/0.48 # Propositional preprocessing time : 0.000
% 0.16/0.48 # Propositional encoding time : 0.000
% 0.16/0.48 # Propositional solver time : 0.000
% 0.16/0.48 # Success case prop preproc time : 0.000
% 0.16/0.48 # Success case prop encoding time : 0.000
% 0.16/0.48 # Success case prop solver time : 0.000
% 0.16/0.48 # Current number of processed clauses : 130
% 0.16/0.48 # Positive orientable unit clauses : 15
% 0.16/0.48 # Positive unorientable unit clauses: 0
% 0.16/0.48 # Negative unit clauses : 4
% 0.16/0.48 # Non-unit-clauses : 111
% 0.16/0.48 # Current number of unprocessed clauses: 443
% 0.16/0.48 # ...number of literals in the above : 2319
% 0.16/0.48 # Current number of archived formulas : 0
% 0.16/0.48 # Current number of archived clauses : 30
% 0.16/0.48 # Clause-clause subsumption calls (NU) : 1511
% 0.16/0.48 # Rec. Clause-clause subsumption calls : 761
% 0.16/0.48 # Non-unit clause-clause subsumptions : 120
% 0.16/0.48 # Unit Clause-clause subsumption calls : 18
% 0.16/0.48 # Rewrite failures with RHS unbound : 0
% 0.16/0.48 # BW rewrite match attempts : 1
% 0.16/0.48 # BW rewrite match successes : 1
% 0.16/0.48 # Condensation attempts : 0
% 0.16/0.48 # Condensation successes : 0
% 0.16/0.48 # Termbank termtop insertions : 11001
% 0.16/0.48
% 0.16/0.48 # -------------------------------------------------
% 0.16/0.48 # User time : 0.018 s
% 0.16/0.48 # System time : 0.002 s
% 0.16/0.48 # Total time : 0.020 s
% 0.16/0.48 # Maximum resident set size: 1752 pages
% 0.16/0.48
% 0.16/0.48 # -------------------------------------------------
% 0.16/0.48 # User time : 0.084 s
% 0.16/0.48 # System time : 0.006 s
% 0.16/0.48 # Total time : 0.089 s
% 0.16/0.48 # Maximum resident set size: 1688 pages
% 0.16/0.48 % E---3.1 exiting
% 0.16/0.48 % E---3.1 exiting
%------------------------------------------------------------------------------