%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO269+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 12:28:03 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 80 ( 29 ~; 35 |; 9 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 57 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a4_defns,axiom,
! [X1,X2] :
( equally_directed_lines(X1,X2)
<=> ~ unequally_directed_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a4_defns) ).
fof(ax5_basics,axiom,
! [X4] : equally_directed_lines(X4,X4),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax5_basics) ).
fof(con,conjecture,
! [X4] : equally_directed_opposite_lines(X4,reverse_line(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(a5_defns,axiom,
! [X1,X2] :
( equally_directed_opposite_lines(X1,X2)
<=> ~ unequally_directed_opposite_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a5_defns) ).
fof(ax8_basics,axiom,
! [X4,X5] :
( unequally_directed_lines(X4,reverse_line(X5))
| unequally_directed_lines(X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).
fof(ax6_basics,axiom,
! [X4,X5,X8] :
( unequally_directed_lines(X4,X5)
=> ( unequally_directed_lines(X5,X8)
| unequally_directed_lines(X4,X8) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax6_basics) ).
fof(a1_defns,axiom,
! [X1,X2] :
( unequally_directed_opposite_lines(X1,X2)
<=> unequally_directed_lines(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
fof(ax7_basics,axiom,
! [X4,X5,X8] :
( ( unequally_directed_lines(X4,reverse_line(X5))
& unequally_directed_lines(X4,X5) )
=> ( ( unequally_directed_lines(X5,reverse_line(X8))
& unequally_directed_lines(X5,X8) )
| ( unequally_directed_lines(X4,reverse_line(X8))
& unequally_directed_lines(X4,X8) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax7_basics) ).
fof(c_0_8,plain,
! [X1,X2] :
( equally_directed_lines(X1,X2)
<=> ~ unequally_directed_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[a4_defns]) ).
fof(c_0_9,plain,
! [X38,X39] :
( ( equally_directed_lines(X38,X39)
| unequally_directed_lines(X38,X39) )
& ( ~ unequally_directed_lines(X38,X39)
| ~ equally_directed_lines(X38,X39) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_10,plain,
! [X71] : equally_directed_lines(X71,X71),
inference(variable_rename,[status(thm)],[ax5_basics]) ).
fof(c_0_11,negated_conjecture,
~ ! [X4] : equally_directed_opposite_lines(X4,reverse_line(X4)),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_12,plain,
! [X1,X2] :
( equally_directed_opposite_lines(X1,X2)
<=> ~ unequally_directed_opposite_lines(X1,X2) ),
inference(fof_simplification,[status(thm)],[a5_defns]) ).
cnf(c_0_13,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ equally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
equally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X15,X16] :
( unequally_directed_lines(X15,reverse_line(X16))
| unequally_directed_lines(X15,X16) ),
inference(variable_rename,[status(thm)],[ax8_basics]) ).
fof(c_0_16,negated_conjecture,
~ equally_directed_opposite_lines(esk1_0,reverse_line(esk1_0)),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_17,plain,
! [X10,X11] :
( ( equally_directed_opposite_lines(X10,X11)
| unequally_directed_opposite_lines(X10,X11) )
& ( ~ unequally_directed_opposite_lines(X10,X11)
| ~ equally_directed_opposite_lines(X10,X11) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_18,plain,
! [X40,X41,X42] :
( unequally_directed_lines(X41,X42)
| unequally_directed_lines(X40,X42)
| ~ unequally_directed_lines(X40,X41) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6_basics])])]) ).
cnf(c_0_19,plain,
~ unequally_directed_lines(X1,X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X34,X35] :
( ( unequally_directed_opposite_lines(X34,X35)
| ~ unequally_directed_lines(X34,reverse_line(X35)) )
& ( unequally_directed_lines(X34,reverse_line(X35))
| ~ unequally_directed_opposite_lines(X34,X35) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_defns])])]) ).
cnf(c_0_22,negated_conjecture,
~ equally_directed_opposite_lines(esk1_0,reverse_line(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( equally_directed_opposite_lines(X1,X2)
| unequally_directed_opposite_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( ~ unequally_directed_lines(X1,X2)
| unequally_directed_lines(X2,X3)
| unequally_directed_lines(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
unequally_directed_lines(reverse_line(X1),X1),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_26,plain,
! [X12,X13,X14] :
( ( ~ unequally_directed_lines(X12,reverse_line(X13))
| ~ unequally_directed_lines(X12,X13)
| unequally_directed_lines(X12,reverse_line(X14))
| unequally_directed_lines(X13,reverse_line(X14)) )
& ( ~ unequally_directed_lines(X12,reverse_line(X13))
| ~ unequally_directed_lines(X12,X13)
| unequally_directed_lines(X12,reverse_line(X14))
| unequally_directed_lines(X13,X14) )
& ( ~ unequally_directed_lines(X12,reverse_line(X13))
| ~ unequally_directed_lines(X12,X13)
| unequally_directed_lines(X12,X14)
| unequally_directed_lines(X13,reverse_line(X14)) )
& ( ~ unequally_directed_lines(X12,reverse_line(X13))
| ~ unequally_directed_lines(X12,X13)
| unequally_directed_lines(X12,X14)
| unequally_directed_lines(X13,X14) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7_basics])])])]) ).
cnf(c_0_27,plain,
( ~ unequally_directed_opposite_lines(X1,X2)
| unequally_directed_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
unequally_directed_opposite_lines(esk1_0,reverse_line(esk1_0)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(reverse_line(X1),X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
( ~ unequally_directed_lines(X3,reverse_line(X1))
| ~ unequally_directed_lines(X3,X1)
| unequally_directed_lines(X3,X2)
| unequally_directed_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(reverse_line(esk1_0))),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,plain,
unequally_directed_lines(X1,reverse_line(X1)),
inference(spm,[status(thm)],[c_0_19,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( unequally_directed_lines(esk1_0,X1)
| unequally_directed_lines(reverse_line(esk1_0),reverse_line(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_33]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO269+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 15:00:20 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.45 % Version: 3.5.1
% 0.11/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.45 % Starting sh5l with 300s (1) cores
% 0.11/0.45 % sh5l with pid 966240 completed with status 0
% 0.11/0.45 % Result found by sh5l
% 0.11/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.45 % Starting sh5l with 300s (1) cores
% 0.11/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.11/0.45 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.11/0.45 % Search class: FGHNS-FFMF21-SFFFFFNN
% 0.11/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.45 % SubtermCWHack with pid 966247 completed with status 0
% 0.11/0.45 % Result found by SubtermCWHack
% 0.11/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.45 % Starting sh5l with 300s (1) cores
% 0.11/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.11/0.45 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.11/0.45 % Search class: FGHNS-FFMF21-SFFFFFNN
% 0.11/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.45 % Preprocessing time : 0.002 s
% 0.11/0.45
% 0.11/0.45 % Proof found!
% 0.11/0.45 % SZS status Theorem
% 0.11/0.45 % SZS output start CNFRefutation
% See solution above
% 0.11/0.45 % Parsed axioms : 37
% 0.11/0.45 % Removed by relevancy pruning/SinE : 0
% 0.11/0.45 % Initial clauses : 67
% 0.11/0.45 % Removed in clause preprocessing : 0
% 0.11/0.45 % Initial clauses in saturation : 67
% 0.11/0.45 % Processed clauses : 89
% 0.11/0.45 % ...of these trivial : 0
% 0.11/0.45 % ...subsumed : 23
% 0.11/0.45 % ...remaining for further processing : 66
% 0.11/0.45 % Other redundant clauses eliminated : 0
% 0.11/0.45 % Clauses deleted for lack of memory : 0
% 0.11/0.45 % Backward-subsumed : 5
% 0.11/0.45 % Backward-rewritten : 0
% 0.11/0.45 % Generated clauses : 112
% 0.11/0.45 % ...of the previous two non-redundant : 88
% 0.11/0.45 % ...aggressively subsumed : 0
% 0.11/0.45 % Contextual simplify-reflections : 0
% 0.11/0.45 % Paramodulations : 104
% 0.11/0.45 % Factorizations : 8
% 0.11/0.45 % NegExts : 0
% 0.11/0.45 % Equation resolutions : 0
% 0.11/0.45 % Disequality decompositions : 0
% 0.11/0.45 % Total rewrite steps : 17
% 0.11/0.45 % ...of those cached : 3
% 0.11/0.45 % Propositional unsat checks : 0
% 0.11/0.45 % Propositional check models : 0
% 0.11/0.45 % Propositional check unsatisfiable : 0
% 0.11/0.45 % Propositional clauses : 0
% 0.11/0.45 % Propositional clauses after purity: 0
% 0.11/0.45 % Propositional unsat core size : 0
% 0.11/0.45 % Propositional preprocessing time : 0.000
% 0.11/0.45 % Propositional encoding time : 0.000
% 0.11/0.45 % Propositional solver time : 0.000
% 0.11/0.45 % Success case prop preproc time : 0.000
% 0.11/0.45 % Success case prop encoding time : 0.000
% 0.11/0.45 % Success case prop solver time : 0.000
% 0.11/0.45 % Current number of processed clauses : 61
% 0.11/0.45 % Positive orientable unit clauses : 12
% 0.11/0.45 % Positive unorientable unit clauses: 0
% 0.11/0.45 % Negative unit clauses : 15
% 0.11/0.45 % Non-unit-clauses : 34
% 0.11/0.45 % Current number of unprocessed clauses: 65
% 0.11/0.45 % ...number of literals in the above : 225
% 0.11/0.45 % Current number of archived formulas : 0
% 0.11/0.45 % Current number of archived clauses : 5
% 0.11/0.45 % Clause-clause subsumption calls (NU) : 407
% 0.11/0.45 % Rec. Clause-clause subsumption calls : 350
% 0.11/0.45 % Non-unit clause-clause subsumptions : 10
% 0.11/0.45 % Unit Clause-clause subsumption calls : 105
% 0.11/0.45 % Rewrite failures with RHS unbound : 0
% 0.11/0.45 % BW rewrite match attempts : 4
% 0.11/0.45 % BW rewrite match successes : 0
% 0.11/0.45 % Condensation attempts : 0
% 0.11/0.45 % Condensation successes : 0
% 0.11/0.45 % Termbank termtop insertions : 5333
% 0.11/0.45 % Search garbage collected termcells : 718
% 0.11/0.45
% 0.11/0.45 % -------------------------------------------------
% 0.11/0.45 % User time : 0.009 s
% 0.11/0.45 % System time : 0.004 s
% 0.11/0.45 % Total time : 0.013 s
% 0.11/0.45 % Maximum resident set size: 3684 pages
% 0.11/0.45
% 0.11/0.45 % -------------------------------------------------
% 0.11/0.45 % User time : 0.010 s
% 0.11/0.45 % System time : 0.010 s
% 0.11/0.45 % Total time : 0.020 s
% 0.11/0.45 % Maximum resident set size: 4864 pages
% 0.11/0.45 % E exiting
%------------------------------------------------------------------------------