%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO225+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 12:27:52 PM UTC 2026
% Result : Theorem 0.14s 5.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 2 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 51 ( 21 ~; 7 |; 13 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 19 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X6,X7] :
( ( distinct_points(X6,X7)
& point(X7)
& point(X6) )
=> ? [X1] :
( line(X1)
=> ( ~ apart_point_and_line(X7,X1)
& ~ apart_point_and_line(X6,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(ci2,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci2) ).
fof(ci1,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci1) ).
fof(c_0_3,negated_conjecture,
~ ! [X6,X7] :
( ( distinct_points(X6,X7)
& point(X7)
& point(X6) )
=> ? [X1] :
( line(X1)
=> ( ~ apart_point_and_line(X7,X1)
& ~ apart_point_and_line(X6,X1) ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_4,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[ci2]) ).
fof(c_0_5,negated_conjecture,
~ ! [X6,X7] :
( ( distinct_points(X6,X7)
& point(X7)
& point(X6) )
=> ? [X1] :
( line(X1)
=> ( ~ apart_point_and_line(X7,X1)
& ~ apart_point_and_line(X6,X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_6,plain,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
inference(fof_simplification,[status(thm)],[ci1]) ).
fof(c_0_7,plain,
! [X15,X16] :
( ~ apart_point_and_line(X16,line_connecting(X15,X16))
| ~ distinct_points(X15,X16) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_8,negated_conjecture,
! [X12] :
( ( apart_point_and_line(esk2_0,X12)
| apart_point_and_line(esk1_0,X12) )
& line(X12)
& distinct_points(esk1_0,esk2_0)
& point(esk2_0)
& point(esk1_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_9,plain,
! [X13,X14] :
( ~ apart_point_and_line(X13,line_connecting(X13,X14))
| ~ distinct_points(X13,X14) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_10,plain,
( ~ apart_point_and_line(X2,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( apart_point_and_line(esk2_0,X1)
| apart_point_and_line(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( ~ distinct_points(X1,esk2_0)
| apart_point_and_line(esk1_0,line_connecting(X1,esk2_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO225+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.37 % Computer : n014.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sun Sep 20 13:54:26 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.44 % Version: 3.5.1
% 0.14/5.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.44 % Starting sh5l with 300s (1) cores
% 0.14/5.44 % sh5l with pid 1749328 completed with status 0
% 0.14/5.44 % Result found by sh5l
% 0.14/5.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.44 % Starting sh5l with 300s (1) cores
% 0.14/5.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.14/5.44 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/5.44 % Search class: FGHNF-FFSS22-SFFFFFNN
% 0.14/5.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/5.44 % Starting SubtermCWHack with 31s (1) cores
% 0.14/5.44 % SubtermCWHack with pid 1749335 completed with status 0
% 0.14/5.44 % Result found by SubtermCWHack
% 0.14/5.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.44 % Starting sh5l with 300s (1) cores
% 0.14/5.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.14/5.44 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/5.44 % Search class: FGHNF-FFSS22-SFFFFFNN
% 0.14/5.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/5.44 % Starting SubtermCWHack with 31s (1) cores
% 0.14/5.44 % Preprocessing time : 0.001 s
% 0.14/5.44
% 0.14/5.44 % Proof found!
% 0.14/5.44 % SZS status Theorem
% 0.14/5.44 % SZS output start CNFRefutation
% See solution above
% 0.14/5.44 % Parsed axioms : 19
% 0.14/5.44 % Removed by relevancy pruning/SinE : 0
% 0.14/5.44 % Initial clauses : 23
% 0.14/5.44 % Removed in clause preprocessing : 0
% 0.14/5.44 % Initial clauses in saturation : 23
% 0.14/5.44 % Processed clauses : 17
% 0.14/5.44 % ...of these trivial : 2
% 0.14/5.44 % ...subsumed : 0
% 0.14/5.44 % ...remaining for further processing : 15
% 0.14/5.44 % Other redundant clauses eliminated : 0
% 0.14/5.44 % Clauses deleted for lack of memory : 0
% 0.14/5.44 % Backward-subsumed : 0
% 0.14/5.44 % Backward-rewritten : 0
% 0.14/5.44 % Generated clauses : 6
% 0.14/5.44 % ...of the previous two non-redundant : 4
% 0.14/5.44 % ...aggressively subsumed : 0
% 0.14/5.44 % Contextual simplify-reflections : 0
% 0.14/5.44 % Paramodulations : 6
% 0.14/5.44 % Factorizations : 0
% 0.14/5.44 % NegExts : 0
% 0.14/5.44 % Equation resolutions : 0
% 0.14/5.44 % Disequality decompositions : 0
% 0.14/5.44 % Total rewrite steps : 6
% 0.14/5.44 % ...of those cached : 2
% 0.14/5.44 % Propositional unsat checks : 0
% 0.14/5.44 % Propositional check models : 0
% 0.14/5.44 % Propositional check unsatisfiable : 0
% 0.14/5.44 % Propositional clauses : 0
% 0.14/5.44 % Propositional clauses after purity: 0
% 0.14/5.44 % Propositional unsat core size : 0
% 0.14/5.44 % Propositional preprocessing time : 0.000
% 0.14/5.44 % Propositional encoding time : 0.000
% 0.14/5.44 % Propositional solver time : 0.000
% 0.14/5.44 % Success case prop preproc time : 0.000
% 0.14/5.44 % Success case prop encoding time : 0.000
% 0.14/5.44 % Success case prop solver time : 0.000
% 0.14/5.44 % Current number of processed clauses : 15
% 0.14/5.44 % Positive orientable unit clauses : 4
% 0.14/5.44 % Positive unorientable unit clauses: 0
% 0.14/5.44 % Negative unit clauses : 3
% 0.14/5.44 % Non-unit-clauses : 8
% 0.14/5.44 % Current number of unprocessed clauses: 10
% 0.14/5.44 % ...number of literals in the above : 34
% 0.14/5.44 % Current number of archived formulas : 0
% 0.14/5.44 % Current number of archived clauses : 0
% 0.14/5.44 % Clause-clause subsumption calls (NU) : 6
% 0.14/5.44 % Rec. Clause-clause subsumption calls : 6
% 0.14/5.44 % Non-unit clause-clause subsumptions : 0
% 0.14/5.44 % Unit Clause-clause subsumption calls : 1
% 0.14/5.44 % Rewrite failures with RHS unbound : 0
% 0.14/5.44 % BW rewrite match attempts : 0
% 0.14/5.44 % BW rewrite match successes : 0
% 0.14/5.44 % Condensation attempts : 0
% 0.14/5.44 % Condensation successes : 0
% 0.14/5.44 % Termbank termtop insertions : 1760
% 0.14/5.44 % Search garbage collected termcells : 307
% 0.14/5.44
% 0.14/5.44 % -------------------------------------------------
% 0.14/5.44 % User time : 0.006 s
% 0.14/5.44 % System time : 0.001 s
% 0.14/5.44 % Total time : 0.008 s
% 0.14/5.44 % Maximum resident set size: 3656 pages
% 0.14/5.44
% 0.14/5.44 % -------------------------------------------------
% 0.14/5.44 % User time : 0.006 s
% 0.14/5.44 % System time : 0.006 s
% 0.14/5.44 % Total time : 0.012 s
% 0.14/5.44 % Maximum resident set size: 4864 pages
% 0.14/5.44 % E exiting
%------------------------------------------------------------------------------