%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO252+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:28:00 PM UTC 2026
% Result : Theorem 0.22s 0.60s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 18 ( 7 ~; 2 |; 7 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X1,X4,X2] :
( ( left_apart_point(X4,reverse_line(X2))
& left_apart_point(X1,X2) )
=> ( left_convergent_lines(line_connecting(X1,X4),X2)
& distinct_points(X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(oag10,axiom,
! [X1,X2] :
~ ( left_apart_point(X1,reverse_line(X2))
| left_apart_point(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag10) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X4,X2] :
( ( left_apart_point(X4,reverse_line(X2))
& left_apart_point(X1,X2) )
=> ( left_convergent_lines(line_connecting(X1,X4),X2)
& distinct_points(X1,X4) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_3,negated_conjecture,
( ( ~ left_convergent_lines(line_connecting(esk1_0,esk2_0),esk3_0)
| ~ distinct_points(esk1_0,esk2_0) )
& left_apart_point(esk2_0,reverse_line(esk3_0))
& left_apart_point(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_2])])])]) ).
fof(c_0_4,plain,
! [X31,X32] :
( ~ left_apart_point(X31,reverse_line(X32))
& ~ left_apart_point(X31,X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag10])])]) ).
cnf(c_0_5,negated_conjecture,
left_apart_point(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_5,c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO252+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.46 % Computer : n004.cluster.edu
% 0.17/0.46 % Model : x86_64 x86_64
% 0.17/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46 % Memory : 8046.5625MB
% 0.17/0.46 % OS : Linux 6.8.0-71-generic
% 0.17/0.46 % CPULimit : 300
% 0.17/0.46 % WCLimit : 300
% 0.17/0.46 % DateTime : Sun Sep 20 14:37:35 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.55 Running first-order theorem proving
% 0.22/0.55 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.22/0.60 % Version: 3.5.1
% 0.22/0.60 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.60 % Starting sh5l with 300s (1) cores
% 0.22/0.60 % new_bool_1 with pid 948259 completed with status 0
% 0.22/0.60 % Result found by new_bool_1
% 0.22/0.60 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.60 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.22/0.60 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.60 % Search class: FGHNF-FFMF21-SFFFFFNN
% 0.22/0.60 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.60 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.60 % SubtermCWHack with pid 948261 completed with status 0
% 0.22/0.60 % Result found by SubtermCWHack
% 0.22/0.60 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.60 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.22/0.60 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.60 % Search class: FGHNF-FFMF21-SFFFFFNN
% 0.22/0.60 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.60 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.60 % Preprocessing time : 0.002 s
% 0.22/0.60
% 0.22/0.60 % Proof found!
% 0.22/0.60 % SZS status Theorem
% 0.22/0.60 % SZS output start CNFRefutation
% See solution above
% 0.22/0.60 % Parsed axioms : 32
% 0.22/0.60 % Removed by relevancy pruning/SinE : 14
% 0.22/0.60 % Initial clauses : 28
% 0.22/0.60 % Removed in clause preprocessing : 0
% 0.22/0.60 % Initial clauses in saturation : 28
% 0.22/0.60 % Processed clauses : 2
% 0.22/0.60 % ...of these trivial : 0
% 0.22/0.60 % ...subsumed : 0
% 0.22/0.60 % ...remaining for further processing : 2
% 0.22/0.60 % Other redundant clauses eliminated : 0
% 0.22/0.60 % Clauses deleted for lack of memory : 0
% 0.22/0.60 % Backward-subsumed : 0
% 0.22/0.60 % Backward-rewritten : 0
% 0.22/0.60 % Generated clauses : 1
% 0.22/0.60 % ...of the previous two non-redundant : 0
% 0.22/0.60 % ...aggressively subsumed : 0
% 0.22/0.60 % Contextual simplify-reflections : 0
% 0.22/0.60 % Paramodulations : 0
% 0.22/0.60 % Factorizations : 0
% 0.22/0.60 % NegExts : 0
% 0.22/0.60 % Equation resolutions : 0
% 0.22/0.60 % Disequality decompositions : 0
% 0.22/0.60 % Total rewrite steps : 0
% 0.22/0.60 % ...of those cached : 0
% 0.22/0.60 % Propositional unsat checks : 0
% 0.22/0.60 % Propositional check models : 0
% 0.22/0.60 % Propositional check unsatisfiable : 0
% 0.22/0.60 % Propositional clauses : 0
% 0.22/0.60 % Propositional clauses after purity: 0
% 0.22/0.60 % Propositional unsat core size : 0
% 0.22/0.60 % Propositional preprocessing time : 0.000
% 0.22/0.60 % Propositional encoding time : 0.000
% 0.22/0.60 % Propositional solver time : 0.000
% 0.22/0.60 % Success case prop preproc time : 0.000
% 0.22/0.60 % Success case prop encoding time : 0.000
% 0.22/0.60 % Success case prop solver time : 0.000
% 0.22/0.60 % Current number of processed clauses : 1
% 0.22/0.60 % Positive orientable unit clauses : 0
% 0.22/0.60 % Positive unorientable unit clauses: 0
% 0.22/0.60 % Negative unit clauses : 1
% 0.22/0.60 % Non-unit-clauses : 0
% 0.22/0.60 % Current number of unprocessed clauses: 26
% 0.22/0.60 % ...number of literals in the above : 61
% 0.22/0.60 % Current number of archived formulas : 0
% 0.22/0.60 % Current number of archived clauses : 1
% 0.22/0.60 % Clause-clause subsumption calls (NU) : 0
% 0.22/0.60 % Rec. Clause-clause subsumption calls : 0
% 0.22/0.60 % Non-unit clause-clause subsumptions : 0
% 0.22/0.60 % Unit Clause-clause subsumption calls : 0
% 0.22/0.60 % Rewrite failures with RHS unbound : 0
% 0.22/0.60 % BW rewrite match attempts : 0
% 0.22/0.60 % BW rewrite match successes : 0
% 0.22/0.60 % Condensation attempts : 0
% 0.22/0.60 % Condensation successes : 0
% 0.22/0.60 % Termbank termtop insertions : 1866
% 0.22/0.60 % Search garbage collected termcells : 416
% 0.22/0.60
% 0.22/0.60 % -------------------------------------------------
% 0.22/0.60 % User time : 0.007 s
% 0.22/0.60 % System time : 0.003 s
% 0.22/0.60 % Total time : 0.010 s
% 0.22/0.60 % Maximum resident set size: 3676 pages
% 0.22/0.60
% 0.22/0.60 % -------------------------------------------------
% 0.22/0.60 % User time : 0.008 s
% 0.22/0.60 % System time : 0.011 s
% 0.22/0.60 % Total time : 0.020 s
% 0.22/0.60 % Maximum resident set size: 4608 pages
% 0.22/0.60 % E exiting
%------------------------------------------------------------------------------