%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO237+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:27:56 PM UTC 2026
% Result : Theorem 0.12s 0.43s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 33 ( 12 ~; 10 |; 6 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 22 ( 4 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X1,X4,X5,X2] :
( apart_point_and_line(X5,X2)
=> ( divides_points(X2,X1,X4)
=> ( divides_points(X2,X4,X5)
| divides_points(X2,X1,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(apt_def,axiom,
! [X1,X2] :
( apart_point_and_line(X1,X2)
<=> ( left_apart_point(X1,reverse_line(X2))
| left_apart_point(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',apt_def) ).
fof(oag10,axiom,
! [X1,X2] :
~ ( left_apart_point(X1,reverse_line(X2))
| left_apart_point(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag10) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X4,X5,X2] :
( apart_point_and_line(X5,X2)
=> ( divides_points(X2,X1,X4)
=> ( divides_points(X2,X4,X5)
| divides_points(X2,X1,X5) ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_4,plain,
! [X14,X15] :
( ( apart_point_and_line(X14,X15)
| ~ left_apart_point(X14,reverse_line(X15)) )
& ( apart_point_and_line(X14,X15)
| ~ left_apart_point(X14,X15) )
& ( left_apart_point(X14,reverse_line(X15))
| left_apart_point(X14,X15)
| ~ apart_point_and_line(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apt_def])])])]) ).
fof(c_0_5,plain,
! [X18,X19] :
( ~ left_apart_point(X18,reverse_line(X19))
& ~ left_apart_point(X18,X19) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag10])])]) ).
fof(c_0_6,negated_conjecture,
( ~ divides_points(esk4_0,esk2_0,esk3_0)
& ~ divides_points(esk4_0,esk1_0,esk3_0)
& divides_points(esk4_0,esk1_0,esk2_0)
& apart_point_and_line(esk3_0,esk4_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_7,plain,
( ~ apart_point_and_line(X1,X2)
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
apart_point_and_line(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
~ apart_point_and_line(X1,X2),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_7,c_0_8]),c_0_8]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_9,c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO237+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 14:17:20 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.43 % Version: 3.5.1
% 0.12/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.43 % Starting sh5l with 300s (1) cores
% 0.12/0.43 % new_bool_3 with pid 367578 completed with status 0
% 0.12/0.43 % Result found by new_bool_3
% 0.12/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.43 % Search class: FGHNF-FFMF21-SFFFFFNN
% 0.12/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.43 % SubtermCWHack with pid 367581 completed with status 0
% 0.12/0.43 % Result found by SubtermCWHack
% 0.12/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.43 % Search class: FGHNF-FFMF21-SFFFFFNN
% 0.12/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.43 % Preprocessing time : 0.002 s
% 0.12/0.43
% 0.12/0.43 % Proof found!
% 0.12/0.43 % SZS status Theorem
% 0.12/0.43 % SZS output start CNFRefutation
% See solution above
% 0.12/0.43 % Parsed axioms : 32
% 0.12/0.43 % Removed by relevancy pruning/SinE : 16
% 0.12/0.43 % Initial clauses : 32
% 0.12/0.43 % Removed in clause preprocessing : 0
% 0.12/0.43 % Initial clauses in saturation : 32
% 0.12/0.43 % Processed clauses : 20
% 0.12/0.43 % ...of these trivial : 0
% 0.12/0.43 % ...subsumed : 6
% 0.12/0.43 % ...remaining for further processing : 14
% 0.12/0.43 % Other redundant clauses eliminated : 0
% 0.12/0.43 % Clauses deleted for lack of memory : 0
% 0.12/0.43 % Backward-subsumed : 2
% 0.12/0.43 % Backward-rewritten : 0
% 0.12/0.43 % Generated clauses : 1
% 0.12/0.43 % ...of the previous two non-redundant : 0
% 0.12/0.43 % ...aggressively subsumed : 0
% 0.12/0.43 % Contextual simplify-reflections : 0
% 0.12/0.43 % Paramodulations : 0
% 0.12/0.43 % Factorizations : 0
% 0.12/0.43 % NegExts : 0
% 0.12/0.43 % Equation resolutions : 0
% 0.12/0.43 % Disequality decompositions : 0
% 0.12/0.43 % Total rewrite steps : 0
% 0.12/0.43 % ...of those cached : 0
% 0.12/0.43 % Propositional unsat checks : 0
% 0.12/0.43 % Propositional check models : 0
% 0.12/0.43 % Propositional check unsatisfiable : 0
% 0.12/0.43 % Propositional clauses : 0
% 0.12/0.43 % Propositional clauses after purity: 0
% 0.12/0.43 % Propositional unsat core size : 0
% 0.12/0.43 % Propositional preprocessing time : 0.000
% 0.12/0.43 % Propositional encoding time : 0.000
% 0.12/0.43 % Propositional solver time : 0.000
% 0.12/0.43 % Success case prop preproc time : 0.000
% 0.12/0.43 % Success case prop encoding time : 0.000
% 0.12/0.43 % Success case prop solver time : 0.000
% 0.12/0.43 % Current number of processed clauses : 11
% 0.12/0.43 % Positive orientable unit clauses : 1
% 0.12/0.43 % Positive unorientable unit clauses: 0
% 0.12/0.43 % Negative unit clauses : 8
% 0.12/0.43 % Non-unit-clauses : 2
% 0.12/0.43 % Current number of unprocessed clauses: 12
% 0.12/0.43 % ...number of literals in the above : 42
% 0.12/0.43 % Current number of archived formulas : 0
% 0.12/0.43 % Current number of archived clauses : 3
% 0.12/0.43 % Clause-clause subsumption calls (NU) : 2
% 0.12/0.43 % Rec. Clause-clause subsumption calls : 2
% 0.12/0.43 % Non-unit clause-clause subsumptions : 0
% 0.12/0.43 % Unit Clause-clause subsumption calls : 3
% 0.12/0.43 % Rewrite failures with RHS unbound : 0
% 0.12/0.43 % BW rewrite match attempts : 0
% 0.12/0.43 % BW rewrite match successes : 0
% 0.12/0.43 % Condensation attempts : 0
% 0.12/0.43 % Condensation successes : 0
% 0.12/0.43 % Termbank termtop insertions : 2056
% 0.12/0.43 % Search garbage collected termcells : 465
% 0.12/0.43
% 0.12/0.43 % -------------------------------------------------
% 0.12/0.43 % User time : 0.003 s
% 0.12/0.43 % System time : 0.002 s
% 0.12/0.43 % Total time : 0.005 s
% 0.12/0.43 % Maximum resident set size: 3676 pages
% 0.12/0.43
% 0.12/0.43 % -------------------------------------------------
% 0.12/0.43 % User time : 0.006 s
% 0.12/0.43 % System time : 0.005 s
% 0.12/0.43 % Total time : 0.012 s
% 0.12/0.43 % Maximum resident set size: 4864 pages
% 0.12/0.43 % E exiting
%------------------------------------------------------------------------------