%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO248+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:27:59 PM UTC 2026
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 38 ( 15 ~; 11 |; 8 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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; 3 con; 0-2 aty)
% Number of variables : 28 ( 6 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a2_defns,axiom,
! [X1,X2] :
( right_apart_point(X1,X2)
<=> left_apart_point(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a2_defns) ).
fof(ax10_basics,axiom,
! [X3,X4] :
~ ( left_apart_point(X3,reverse_line(X4))
| left_apart_point(X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax10_basics) ).
fof(con,conjecture,
! [X3,X6,X4] :
( ( incident_point_and_line(X6,parallel_lines(X4,X3))
& apart_point_and_line(X3,X4) )
=> apart_point_and_line(X6,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(a6_defns,axiom,
! [X3,X4] :
( apart_point_and_line(X3,X4)
<=> ( right_apart_point(X3,X4)
| left_apart_point(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a6_defns) ).
fof(c_0_4,plain,
! [X23,X24] :
( ( right_apart_point(X23,X24)
| ~ left_apart_point(X23,reverse_line(X24)) )
& ( left_apart_point(X23,reverse_line(X24))
| ~ right_apart_point(X23,X24) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_defns])])]) ).
fof(c_0_5,plain,
! [X28,X29] :
( ~ left_apart_point(X28,reverse_line(X29))
& ~ left_apart_point(X28,X29) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax10_basics])])]) ).
fof(c_0_6,negated_conjecture,
~ ! [X3,X6,X4] :
( ( incident_point_and_line(X6,parallel_lines(X4,X3))
& apart_point_and_line(X3,X4) )
=> apart_point_and_line(X6,X4) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_7,plain,
! [X12,X13] :
( ( apart_point_and_line(X12,X13)
| ~ right_apart_point(X12,X13) )
& ( apart_point_and_line(X12,X13)
| ~ left_apart_point(X12,X13) )
& ( right_apart_point(X12,X13)
| left_apart_point(X12,X13)
| ~ apart_point_and_line(X12,X13) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a6_defns])])])]) ).
cnf(c_0_8,plain,
( ~ right_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,negated_conjecture,
( ~ apart_point_and_line(esk2_0,esk3_0)
& incident_point_and_line(esk2_0,parallel_lines(esk3_0,esk1_0))
& apart_point_and_line(esk1_0,esk3_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
cnf(c_0_11,plain,
( ~ apart_point_and_line(X1,X2)
| right_apart_point(X1,X2)
| left_apart_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
~ right_apart_point(X1,X2),
inference(sr,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
apart_point_and_line(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
~ apart_point_and_line(X1,X2),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_11,c_0_12]),c_0_9]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_13,c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO248+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 % Computer : n009.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sun Sep 20 14:35:43 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 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/benchmark/theBenchmark.p
% 0.19/0.50 % Version: 3.5.1
% 0.19/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 % Starting sh5l with 300s (1) cores
% 0.19/0.50 % sh5l with pid 3662367 completed with status 0
% 0.19/0.50 % Result found by sh5l
% 0.19/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 % Starting sh5l with 300s (1) cores
% 0.19/0.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.19/0.50 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.50 % Search class: FGHNS-FFMF21-SFFFFFNN
% 0.19/0.50 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 % Starting SubtermCWHack with 31s (1) cores
% 0.19/0.50 % SubtermCWHack with pid 3662375 completed with status 0
% 0.19/0.50 % Result found by SubtermCWHack
% 0.19/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 % Starting sh5l with 300s (1) cores
% 0.19/0.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.19/0.50 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.50 % Search class: FGHNS-FFMF21-SFFFFFNN
% 0.19/0.50 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 % Starting SubtermCWHack with 31s (1) cores
% 0.19/0.50 % Preprocessing time : 0.002 s
% 0.19/0.50
% 0.19/0.50 % Proof found!
% 0.19/0.50 % SZS status Theorem
% 0.19/0.50 % SZS output start CNFRefutation
% See solution above
% 0.19/0.50 % Parsed axioms : 37
% 0.19/0.50 % Removed by relevancy pruning/SinE : 0
% 0.19/0.50 % Initial clauses : 69
% 0.19/0.50 % Removed in clause preprocessing : 0
% 0.19/0.50 % Initial clauses in saturation : 69
% 0.19/0.50 % Processed clauses : 45
% 0.19/0.50 % ...of these trivial : 0
% 0.19/0.50 % ...subsumed : 7
% 0.19/0.50 % ...remaining for further processing : 38
% 0.19/0.50 % Other redundant clauses eliminated : 0
% 0.19/0.50 % Clauses deleted for lack of memory : 0
% 0.19/0.50 % Backward-subsumed : 5
% 0.19/0.50 % Backward-rewritten : 0
% 0.19/0.50 % Generated clauses : 14
% 0.19/0.50 % ...of the previous two non-redundant : 10
% 0.19/0.50 % ...aggressively subsumed : 0
% 0.19/0.50 % Contextual simplify-reflections : 0
% 0.19/0.50 % Paramodulations : 13
% 0.19/0.50 % Factorizations : 0
% 0.19/0.50 % NegExts : 0
% 0.19/0.50 % Equation resolutions : 0
% 0.19/0.50 % Disequality decompositions : 0
% 0.19/0.50 % Total rewrite steps : 0
% 0.19/0.50 % ...of those cached : 0
% 0.19/0.50 % Propositional unsat checks : 0
% 0.19/0.50 % Propositional check models : 0
% 0.19/0.50 % Propositional check unsatisfiable : 0
% 0.19/0.50 % Propositional clauses : 0
% 0.19/0.50 % Propositional clauses after purity: 0
% 0.19/0.50 % Propositional unsat core size : 0
% 0.19/0.50 % Propositional preprocessing time : 0.000
% 0.19/0.50 % Propositional encoding time : 0.000
% 0.19/0.50 % Propositional solver time : 0.000
% 0.19/0.50 % Success case prop preproc time : 0.000
% 0.19/0.50 % Success case prop encoding time : 0.000
% 0.19/0.50 % Success case prop solver time : 0.000
% 0.19/0.50 % Current number of processed clauses : 32
% 0.19/0.50 % Positive orientable unit clauses : 6
% 0.19/0.50 % Positive unorientable unit clauses: 0
% 0.19/0.50 % Negative unit clauses : 10
% 0.19/0.50 % Non-unit-clauses : 16
% 0.19/0.50 % Current number of unprocessed clauses: 34
% 0.19/0.50 % ...number of literals in the above : 118
% 0.19/0.50 % Current number of archived formulas : 0
% 0.19/0.50 % Current number of archived clauses : 6
% 0.19/0.50 % Clause-clause subsumption calls (NU) : 77
% 0.19/0.50 % Rec. Clause-clause subsumption calls : 73
% 0.19/0.50 % Non-unit clause-clause subsumptions : 1
% 0.19/0.50 % Unit Clause-clause subsumption calls : 72
% 0.19/0.50 % Rewrite failures with RHS unbound : 0
% 0.19/0.50 % BW rewrite match attempts : 1
% 0.19/0.50 % BW rewrite match successes : 0
% 0.19/0.50 % Condensation attempts : 0
% 0.19/0.50 % Condensation successes : 0
% 0.19/0.50 % Termbank termtop insertions : 4348
% 0.19/0.50 % Search garbage collected termcells : 738
% 0.19/0.50
% 0.19/0.50 % -------------------------------------------------
% 0.19/0.50 % User time : 0.010 s
% 0.19/0.50 % System time : 0.001 s
% 0.19/0.50 % Total time : 0.011 s
% 0.19/0.50 % Maximum resident set size: 3684 pages
% 0.19/0.50
% 0.19/0.50 % -------------------------------------------------
% 0.19/0.50 % User time : 0.014 s
% 0.19/0.50 % System time : 0.004 s
% 0.19/0.50 % Total time : 0.017 s
% 0.19/0.50 % Maximum resident set size: 4608 pages
% 0.19/0.50 % E exiting
%------------------------------------------------------------------------------