%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO262+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 : n012.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 12:28:02 PM UTC 2026
% Result : Theorem 0.09s 0.48s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 73 ( 27 ~; 15 |; 26 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 40 ( 2 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X2,X3,X6,X1,X4,X5] :
( ( ~ apart_point_and_line(X4,X6)
& convergent_lines(X3,X6)
& convergent_lines(X2,X6)
& ~ apart_point_and_line(X4,X3)
& convergent_lines(X2,X3)
& between_on_line(X2,X1,X4,X5) )
=> between_on_line(X3,intersection_point(X3,parallel_through_point(X6,X1)),X4,intersection_point(X3,parallel_through_point(X6,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(oag9,axiom,
! [X2,X3] :
( ( unequally_directed_lines(X2,reverse_line(X3))
& unequally_directed_lines(X2,X3) )
=> ( left_convergent_lines(X2,reverse_line(X3))
| left_convergent_lines(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag9) ).
fof(oag11,axiom,
! [X2,X3] :
~ ( left_convergent_lines(X2,reverse_line(X3))
| left_convergent_lines(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag11) ).
fof(con_def,axiom,
! [X2,X3] :
( convergent_lines(X2,X3)
<=> ( unequally_directed_lines(X2,reverse_line(X3))
& unequally_directed_lines(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',con_def) ).
fof(c_0_4,negated_conjecture,
~ ! [X2,X3,X6,X1,X4,X5] :
( ( ~ apart_point_and_line(X4,X6)
& convergent_lines(X3,X6)
& convergent_lines(X2,X6)
& ~ apart_point_and_line(X4,X3)
& convergent_lines(X2,X3)
& between_on_line(X2,X1,X4,X5) )
=> between_on_line(X3,intersection_point(X3,parallel_through_point(X6,X1)),X4,intersection_point(X3,parallel_through_point(X6,X5))) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_5,negated_conjecture,
~ ! [X2,X3,X6,X1,X4,X5] :
( ( ~ apart_point_and_line(X4,X6)
& convergent_lines(X3,X6)
& convergent_lines(X2,X6)
& ~ apart_point_and_line(X4,X3)
& convergent_lines(X2,X3)
& between_on_line(X2,X1,X4,X5) )
=> between_on_line(X3,intersection_point(X3,parallel_through_point(X6,X1)),X4,intersection_point(X3,parallel_through_point(X6,X5))) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X62,X63] :
( left_convergent_lines(X62,reverse_line(X63))
| left_convergent_lines(X62,X63)
| ~ unequally_directed_lines(X62,reverse_line(X63))
| ~ unequally_directed_lines(X62,X63) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag9])])]) ).
fof(c_0_7,plain,
! [X64,X65] :
( ~ left_convergent_lines(X64,reverse_line(X65))
& ~ left_convergent_lines(X64,X65) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag11])])]) ).
fof(c_0_8,plain,
! [X31,X32] :
( ( convergent_lines(X31,X32)
| ~ unequally_directed_lines(X31,reverse_line(X32))
| ~ unequally_directed_lines(X31,X32) )
& ( ~ convergent_lines(X31,X32)
| unequally_directed_lines(X31,reverse_line(X32)) )
& ( ~ convergent_lines(X31,X32)
| unequally_directed_lines(X31,X32) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[con_def])])])]) ).
fof(c_0_9,negated_conjecture,
( ~ between_on_line(esk2_0,intersection_point(esk2_0,parallel_through_point(esk3_0,esk4_0)),esk5_0,intersection_point(esk2_0,parallel_through_point(esk3_0,esk6_0)))
& ~ apart_point_and_line(esk5_0,esk3_0)
& convergent_lines(esk2_0,esk3_0)
& convergent_lines(esk1_0,esk3_0)
& ~ apart_point_and_line(esk5_0,esk2_0)
& convergent_lines(esk1_0,esk2_0)
& between_on_line(esk1_0,esk4_0,esk5_0,esk6_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
cnf(c_0_10,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ convergent_lines(X1,X2)
| unequally_directed_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
convergent_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( ~ convergent_lines(X1,X2)
| unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).
cnf(c_0_16,negated_conjecture,
unequally_directed_lines(esk2_0,reverse_line(esk3_0)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
unequally_directed_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO262+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 % Computer : n012.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 20 14:49:52 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.43 Running first-order theorem proving
% 0.09/0.43 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
% 0.09/0.48 % Version: 3.5.1
% 0.09/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.48 % Starting sh5l with 300s (1) cores
% 0.09/0.48 % new_bool_1 with pid 380554 completed with status 0
% 0.09/0.48 % Result found by new_bool_1
% 0.09/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.09/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.09/0.48 % Search class: FGHNF-FFMS21-SFFFFFNN
% 0.09/0.48 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.48 % Starting SubtermCWHack with 31s (1) cores
% 0.09/0.48 % SubtermCWHack with pid 380556 completed with status 0
% 0.09/0.48 % Result found by SubtermCWHack
% 0.09/0.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.09/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.09/0.48 % Search class: FGHNF-FFMS21-SFFFFFNN
% 0.09/0.48 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.48 % Starting SubtermCWHack with 31s (1) cores
% 0.09/0.48 % Preprocessing time : 0.002 s
% 0.09/0.48
% 0.09/0.48 % Proof found!
% 0.09/0.48 % SZS status Theorem
% 0.09/0.48 % SZS output start CNFRefutation
% See solution above
% 0.09/0.48 % Parsed axioms : 32
% 0.09/0.48 % Removed by relevancy pruning/SinE : 6
% 0.09/0.48 % Initial clauses : 54
% 0.09/0.48 % Removed in clause preprocessing : 0
% 0.09/0.48 % Initial clauses in saturation : 54
% 0.09/0.48 % Processed clauses : 121
% 0.09/0.48 % ...of these trivial : 0
% 0.09/0.48 % ...subsumed : 33
% 0.09/0.48 % ...remaining for further processing : 88
% 0.09/0.48 % Other redundant clauses eliminated : 0
% 0.09/0.48 % Clauses deleted for lack of memory : 0
% 0.09/0.48 % Backward-subsumed : 8
% 0.09/0.48 % Backward-rewritten : 0
% 0.09/0.48 % Generated clauses : 301
% 0.09/0.48 % ...of the previous two non-redundant : 225
% 0.09/0.48 % ...aggressively subsumed : 0
% 0.09/0.48 % Contextual simplify-reflections : 0
% 0.09/0.48 % Paramodulations : 271
% 0.09/0.48 % Factorizations : 30
% 0.09/0.48 % NegExts : 0
% 0.09/0.48 % Equation resolutions : 0
% 0.09/0.48 % Disequality decompositions : 0
% 0.09/0.48 % Total rewrite steps : 57
% 0.09/0.48 % ...of those cached : 45
% 0.09/0.48 % Propositional unsat checks : 0
% 0.09/0.48 % Propositional check models : 0
% 0.09/0.48 % Propositional check unsatisfiable : 0
% 0.09/0.48 % Propositional clauses : 0
% 0.09/0.48 % Propositional clauses after purity: 0
% 0.09/0.48 % Propositional unsat core size : 0
% 0.09/0.48 % Propositional preprocessing time : 0.000
% 0.09/0.48 % Propositional encoding time : 0.000
% 0.09/0.48 % Propositional solver time : 0.000
% 0.09/0.48 % Success case prop preproc time : 0.000
% 0.09/0.48 % Success case prop encoding time : 0.000
% 0.09/0.48 % Success case prop solver time : 0.000
% 0.09/0.48 % Current number of processed clauses : 80
% 0.09/0.48 % Positive orientable unit clauses : 20
% 0.09/0.48 % Positive unorientable unit clauses: 0
% 0.09/0.48 % Negative unit clauses : 7
% 0.09/0.48 % Non-unit-clauses : 53
% 0.09/0.48 % Current number of unprocessed clauses: 150
% 0.09/0.48 % ...number of literals in the above : 554
% 0.09/0.48 % Current number of archived formulas : 0
% 0.09/0.48 % Current number of archived clauses : 8
% 0.09/0.48 % Clause-clause subsumption calls (NU) : 1194
% 0.09/0.48 % Rec. Clause-clause subsumption calls : 771
% 0.09/0.48 % Non-unit clause-clause subsumptions : 26
% 0.09/0.48 % Unit Clause-clause subsumption calls : 167
% 0.09/0.48 % Rewrite failures with RHS unbound : 0
% 0.09/0.48 % BW rewrite match attempts : 0
% 0.09/0.48 % BW rewrite match successes : 0
% 0.09/0.48 % Condensation attempts : 0
% 0.09/0.48 % Condensation successes : 0
% 0.09/0.48 % Termbank termtop insertions : 6338
% 0.09/0.48 % Search garbage collected termcells : 685
% 0.09/0.48
% 0.09/0.48 % -------------------------------------------------
% 0.09/0.48 % User time : 0.013 s
% 0.09/0.48 % System time : 0.000 s
% 0.09/0.48 % Total time : 0.014 s
% 0.09/0.48 % Maximum resident set size: 3624 pages
% 0.09/0.48
% 0.09/0.48 % -------------------------------------------------
% 0.09/0.48 % User time : 0.015 s
% 0.09/0.48 % System time : 0.004 s
% 0.09/0.48 % Total time : 0.020 s
% 0.09/0.48 % Maximum resident set size: 4608 pages
% 0.09/0.48 % E exiting
%------------------------------------------------------------------------------