%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO219+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:27:50 PM UTC 2026
% Result : Theorem 0.12s 0.41s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 106 ( 52 ~; 36 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 49 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X6,X7,X8] :
( ( ~ convergent_lines(X6,X8)
& ~ unorthogonal_lines(X6,X7) )
=> ~ unorthogonal_lines(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(coipo1,axiom,
! [X6,X7] :
~ ( ~ unorthogonal_lines(X6,X7)
& ~ convergent_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',coipo1) ).
fof(cotno1,axiom,
! [X6,X7,X8] :
( ( ( ~ unorthogonal_lines(X6,X8)
| ~ convergent_lines(X6,X8) )
& ( ~ unorthogonal_lines(X6,X7)
| ~ convergent_lines(X6,X7) ) )
=> ( ~ unorthogonal_lines(X7,X8)
| ~ convergent_lines(X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',cotno1) ).
fof(ax6,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X2,X3)
| convergent_lines(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).
fof(apart3,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
fof(c_0_5,negated_conjecture,
~ ! [X6,X7,X8] :
( ( ~ convergent_lines(X6,X8)
& ~ unorthogonal_lines(X6,X7) )
=> ~ unorthogonal_lines(X7,X8) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_6,negated_conjecture,
~ ! [X6,X7,X8] :
( ( ~ convergent_lines(X6,X8)
& ~ unorthogonal_lines(X6,X7) )
=> ~ unorthogonal_lines(X7,X8) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_7,plain,
! [X6,X7] :
~ ( ~ unorthogonal_lines(X6,X7)
& ~ convergent_lines(X6,X7) ),
inference(fof_simplification,[status(thm)],[coipo1]) ).
fof(c_0_8,plain,
! [X6,X7,X8] :
( ( ( ~ unorthogonal_lines(X6,X8)
| ~ convergent_lines(X6,X8) )
& ( ~ unorthogonal_lines(X6,X7)
| ~ convergent_lines(X6,X7) ) )
=> ( ~ unorthogonal_lines(X7,X8)
| ~ convergent_lines(X7,X8) ) ),
inference(fof_simplification,[status(thm)],[cotno1]) ).
fof(c_0_9,negated_conjecture,
( unorthogonal_lines(esk2_0,esk3_0)
& ~ convergent_lines(esk1_0,esk3_0)
& ~ unorthogonal_lines(esk1_0,esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_10,plain,
! [X12,X13] :
( unorthogonal_lines(X12,X13)
| convergent_lines(X12,X13) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
fof(c_0_11,plain,
! [X14,X15,X16] :
( ( ~ unorthogonal_lines(X15,X16)
| ~ convergent_lines(X15,X16)
| unorthogonal_lines(X14,X15)
| unorthogonal_lines(X14,X16) )
& ( ~ unorthogonal_lines(X15,X16)
| ~ convergent_lines(X15,X16)
| unorthogonal_lines(X14,X15)
| convergent_lines(X14,X16) )
& ( ~ unorthogonal_lines(X15,X16)
| ~ convergent_lines(X15,X16)
| convergent_lines(X14,X15)
| unorthogonal_lines(X14,X16) )
& ( ~ unorthogonal_lines(X15,X16)
| ~ convergent_lines(X15,X16)
| convergent_lines(X14,X15)
| convergent_lines(X14,X16) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
fof(c_0_12,plain,
! [X21,X22,X23] :
( convergent_lines(X22,X23)
| convergent_lines(X21,X23)
| ~ convergent_lines(X21,X22) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])]) ).
cnf(c_0_13,negated_conjecture,
~ unorthogonal_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[apart3]) ).
cnf(c_0_16,plain,
( ~ unorthogonal_lines(X3,X2)
| ~ convergent_lines(X3,X2)
| convergent_lines(X1,X3)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
unorthogonal_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
( ~ convergent_lines(X1,X2)
| convergent_lines(X2,X3)
| convergent_lines(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_20,plain,
! [X20] : ~ convergent_lines(X20,X20),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_15])]) ).
cnf(c_0_21,negated_conjecture,
( ~ convergent_lines(esk2_0,esk3_0)
| convergent_lines(X1,esk3_0)
| convergent_lines(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( convergent_lines(esk1_0,X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
~ convergent_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( convergent_lines(X1,esk2_0)
| convergent_lines(X1,esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_26,plain,
( ~ unorthogonal_lines(X3,X2)
| ~ convergent_lines(X3,X2)
| unorthogonal_lines(X1,X3)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_27,negated_conjecture,
convergent_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( convergent_lines(X1,esk3_0)
| unorthogonal_lines(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_17]),c_0_27])]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_28]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO219+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.35 % Computer : n014.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 13:40:06 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.41 % Version: 3.5.1
% 0.12/0.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.41 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.41 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.41 % Starting sh5l with 300s (1) cores
% 0.12/0.41 % new_bool_3 with pid 1736320 completed with status 0
% 0.12/0.41 % Result found by new_bool_3
% 0.12/0.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.41 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.41 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.41 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.41 % Search class: FGUNF-FFSF00-SFFFFFNN
% 0.12/0.41 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.41 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.41 % SubtermCWHack with pid 1736323 completed with status 0
% 0.12/0.41 % Result found by SubtermCWHack
% 0.12/0.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.41 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.41 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.41 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.41 % Search class: FGUNF-FFSF00-SFFFFFNN
% 0.12/0.41 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.41 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.41 % Preprocessing time : 0.001 s
% 0.12/0.41
% 0.12/0.41 % Proof found!
% 0.12/0.41 % SZS status Theorem
% 0.12/0.41 % SZS output start CNFRefutation
% See solution above
% 0.12/0.41 % Parsed axioms : 18
% 0.12/0.41 % Removed by relevancy pruning/SinE : 12
% 0.12/0.41 % Initial clauses : 11
% 0.12/0.41 % Removed in clause preprocessing : 0
% 0.12/0.41 % Initial clauses in saturation : 11
% 0.12/0.41 % Processed clauses : 38
% 0.12/0.41 % ...of these trivial : 0
% 0.12/0.41 % ...subsumed : 10
% 0.12/0.41 % ...remaining for further processing : 28
% 0.12/0.41 % Other redundant clauses eliminated : 0
% 0.12/0.41 % Clauses deleted for lack of memory : 0
% 0.12/0.41 % Backward-subsumed : 1
% 0.12/0.41 % Backward-rewritten : 0
% 0.12/0.41 % Generated clauses : 89
% 0.12/0.41 % ...of the previous two non-redundant : 69
% 0.12/0.41 % ...aggressively subsumed : 0
% 0.12/0.41 % Contextual simplify-reflections : 0
% 0.12/0.41 % Paramodulations : 79
% 0.12/0.41 % Factorizations : 10
% 0.12/0.41 % NegExts : 0
% 0.12/0.41 % Equation resolutions : 0
% 0.12/0.41 % Disequality decompositions : 0
% 0.12/0.41 % Total rewrite steps : 14
% 0.12/0.41 % ...of those cached : 11
% 0.12/0.41 % Propositional unsat checks : 0
% 0.12/0.41 % Propositional check models : 0
% 0.12/0.41 % Propositional check unsatisfiable : 0
% 0.12/0.41 % Propositional clauses : 0
% 0.12/0.41 % Propositional clauses after purity: 0
% 0.12/0.41 % Propositional unsat core size : 0
% 0.12/0.41 % Propositional preprocessing time : 0.000
% 0.12/0.41 % Propositional encoding time : 0.000
% 0.12/0.41 % Propositional solver time : 0.000
% 0.12/0.41 % Success case prop preproc time : 0.000
% 0.12/0.41 % Success case prop encoding time : 0.000
% 0.12/0.41 % Success case prop solver time : 0.000
% 0.12/0.41 % Current number of processed clauses : 27
% 0.12/0.41 % Positive orientable unit clauses : 7
% 0.12/0.41 % Positive unorientable unit clauses: 0
% 0.12/0.41 % Negative unit clauses : 3
% 0.12/0.41 % Non-unit-clauses : 17
% 0.12/0.41 % Current number of unprocessed clauses: 41
% 0.12/0.41 % ...number of literals in the above : 155
% 0.12/0.41 % Current number of archived formulas : 0
% 0.12/0.41 % Current number of archived clauses : 1
% 0.12/0.41 % Clause-clause subsumption calls (NU) : 85
% 0.12/0.41 % Rec. Clause-clause subsumption calls : 74
% 0.12/0.41 % Non-unit clause-clause subsumptions : 10
% 0.12/0.41 % Unit Clause-clause subsumption calls : 15
% 0.12/0.41 % Rewrite failures with RHS unbound : 0
% 0.12/0.41 % BW rewrite match attempts : 0
% 0.12/0.41 % BW rewrite match successes : 0
% 0.12/0.41 % Condensation attempts : 0
% 0.12/0.41 % Condensation successes : 0
% 0.12/0.41 % Termbank termtop insertions : 1644
% 0.12/0.41 % Search garbage collected termcells : 210
% 0.12/0.41
% 0.12/0.41 % -------------------------------------------------
% 0.12/0.41 % User time : 0.003 s
% 0.12/0.41 % System time : 0.004 s
% 0.12/0.41 % Total time : 0.006 s
% 0.12/0.41 % Maximum resident set size: 3656 pages
% 0.12/0.41
% 0.12/0.41 % -------------------------------------------------
% 0.12/0.41 % User time : 0.005 s
% 0.12/0.41 % System time : 0.008 s
% 0.12/0.41 % Total time : 0.013 s
% 0.12/0.41 % Maximum resident set size: 4864 pages
% 0.12/0.41 % E exiting
%------------------------------------------------------------------------------