%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO216+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 12:27:49 PM UTC 2026
% Result : Theorem 0.15s 0.46s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 16 ~; 6 |; 1 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X6] : ~ orthogonal_lines(X6,X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(a5,axiom,
! [X1,X2] :
( orthogonal_lines(X1,X2)
<=> ~ unorthogonal_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a5) ).
fof(apart3,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
fof(occu1,axiom,
! [X6,X7] :
( unorthogonal_lines(X6,X7)
| convergent_lines(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',occu1) ).
fof(c_0_4,negated_conjecture,
~ ! [X6] : ~ orthogonal_lines(X6,X6),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_5,plain,
! [X1,X2] :
( orthogonal_lines(X1,X2)
<=> ~ unorthogonal_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[a5]) ).
fof(c_0_6,negated_conjecture,
~ ! [X6] : ~ orthogonal_lines(X6,X6),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_7,plain,
! [X12,X13] :
( ( orthogonal_lines(X12,X13)
| unorthogonal_lines(X12,X13) )
& ( ~ unorthogonal_lines(X12,X13)
| ~ orthogonal_lines(X12,X13) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,negated_conjecture,
orthogonal_lines(esk1_0,esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_9,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[apart3]) ).
cnf(c_0_10,plain,
( ~ unorthogonal_lines(X1,X2)
| ~ orthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
orthogonal_lines(esk1_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X14,X15] :
( unorthogonal_lines(X14,X15)
| convergent_lines(X14,X15) ),
inference(variable_rename,[status(thm)],[occu1]) ).
fof(c_0_13,plain,
! [X31] : ~ convergent_lines(X31,X31),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_9])]) ).
cnf(c_0_14,negated_conjecture,
~ unorthogonal_lines(esk1_0,esk1_0),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO216+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n019.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 20 13:43:36 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 Running first-order theorem proving
% 0.15/0.44 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
% 0.15/0.46 % Version: 3.5.1
% 0.15/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.46 % Starting sh5l with 300s (1) cores
% 0.15/0.46 % new_bool_3 with pid 321239 completed with status 0
% 0.15/0.46 % Result found by new_bool_3
% 0.15/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.46 % Search class: FGHNF-FFMF00-SFFFFFNN
% 0.15/0.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.46 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.46 % SubtermCWHack with pid 321242 completed with status 0
% 0.15/0.46 % Result found by SubtermCWHack
% 0.15/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.46 % Search class: FGHNF-FFMF00-SFFFFFNN
% 0.15/0.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.46 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.46 % Preprocessing time : 0.001 s
% 0.15/0.46
% 0.15/0.46 % Proof found!
% 0.15/0.46 % SZS status Theorem
% 0.15/0.46 % SZS output start CNFRefutation
% See solution above
% 0.15/0.46 % Parsed axioms : 36
% 0.15/0.46 % Removed by relevancy pruning/SinE : 18
% 0.15/0.46 % Initial clauses : 25
% 0.15/0.46 % Removed in clause preprocessing : 0
% 0.15/0.46 % Initial clauses in saturation : 25
% 0.15/0.46 % Processed clauses : 9
% 0.15/0.46 % ...of these trivial : 0
% 0.15/0.46 % ...subsumed : 1
% 0.15/0.46 % ...remaining for further processing : 8
% 0.15/0.46 % Other redundant clauses eliminated : 0
% 0.15/0.46 % Clauses deleted for lack of memory : 0
% 0.15/0.46 % Backward-subsumed : 0
% 0.15/0.46 % Backward-rewritten : 0
% 0.15/0.46 % Generated clauses : 3
% 0.15/0.46 % ...of the previous two non-redundant : 1
% 0.15/0.46 % ...aggressively subsumed : 0
% 0.15/0.46 % Contextual simplify-reflections : 0
% 0.15/0.46 % Paramodulations : 3
% 0.15/0.46 % Factorizations : 0
% 0.15/0.46 % NegExts : 0
% 0.15/0.46 % Equation resolutions : 0
% 0.15/0.46 % Disequality decompositions : 0
% 0.15/0.46 % Total rewrite steps : 0
% 0.15/0.46 % ...of those cached : 0
% 0.15/0.46 % Propositional unsat checks : 0
% 0.15/0.46 % Propositional check models : 0
% 0.15/0.46 % Propositional check unsatisfiable : 0
% 0.15/0.46 % Propositional clauses : 0
% 0.15/0.46 % Propositional clauses after purity: 0
% 0.15/0.46 % Propositional unsat core size : 0
% 0.15/0.46 % Propositional preprocessing time : 0.000
% 0.15/0.46 % Propositional encoding time : 0.000
% 0.15/0.46 % Propositional solver time : 0.000
% 0.15/0.46 % Success case prop preproc time : 0.000
% 0.15/0.46 % Success case prop encoding time : 0.000
% 0.15/0.46 % Success case prop solver time : 0.000
% 0.15/0.46 % Current number of processed clauses : 8
% 0.15/0.46 % Positive orientable unit clauses : 1
% 0.15/0.46 % Positive unorientable unit clauses: 0
% 0.15/0.46 % Negative unit clauses : 3
% 0.15/0.46 % Non-unit-clauses : 4
% 0.15/0.46 % Current number of unprocessed clauses: 17
% 0.15/0.46 % ...number of literals in the above : 65
% 0.15/0.46 % Current number of archived formulas : 0
% 0.15/0.46 % Current number of archived clauses : 0
% 0.15/0.46 % Clause-clause subsumption calls (NU) : 1
% 0.15/0.46 % Rec. Clause-clause subsumption calls : 1
% 0.15/0.46 % Non-unit clause-clause subsumptions : 1
% 0.15/0.46 % Unit Clause-clause subsumption calls : 1
% 0.15/0.46 % Rewrite failures with RHS unbound : 0
% 0.15/0.46 % BW rewrite match attempts : 0
% 0.15/0.46 % BW rewrite match successes : 0
% 0.15/0.46 % Condensation attempts : 0
% 0.15/0.46 % Condensation successes : 0
% 0.15/0.46 % Termbank termtop insertions : 1903
% 0.15/0.46 % Search garbage collected termcells : 366
% 0.15/0.46
% 0.15/0.46 % -------------------------------------------------
% 0.15/0.46 % User time : 0.004 s
% 0.15/0.46 % System time : 0.002 s
% 0.15/0.46 % Total time : 0.005 s
% 0.15/0.46 % Maximum resident set size: 3932 pages
% 0.15/0.46
% 0.15/0.46 % -------------------------------------------------
% 0.15/0.46 % User time : 0.006 s
% 0.15/0.46 % System time : 0.006 s
% 0.15/0.46 % Total time : 0.012 s
% 0.15/0.46 % Maximum resident set size: 4864 pages
% 0.15/0.46 % E exiting
%------------------------------------------------------------------------------