%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO258+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:28:01 PM UTC 2026
% Result : Theorem 0.15s 0.51s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 69 ( 27 ~; 31 |; 8 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 40 ( 2 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X2,X1,X4,X5] :
( between_on_line(X2,X1,X4,X5)
=> between_on_line(X2,X5,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(bet_def,axiom,
! [X2,X1,X4,X5] :
( between_on_line(X2,X1,X4,X5)
<=> ( ( before_on_line(X2,X4,X1)
& before_on_line(X2,X5,X4) )
| ( before_on_line(X2,X4,X5)
& before_on_line(X2,X1,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',bet_def) ).
fof(c_0_2,negated_conjecture,
~ ! [X2,X1,X4,X5] :
( between_on_line(X2,X1,X4,X5)
=> between_on_line(X2,X5,X4,X1) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_3,negated_conjecture,
( ~ between_on_line(esk1_0,esk4_0,esk3_0,esk2_0)
& between_on_line(esk1_0,esk2_0,esk3_0,esk4_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
fof(c_0_4,plain,
! [X11,X12,X13,X14] :
( ( between_on_line(X11,X12,X13,X14)
| ~ before_on_line(X11,X13,X12)
| ~ before_on_line(X11,X14,X13) )
& ( between_on_line(X11,X12,X13,X14)
| ~ before_on_line(X11,X13,X14)
| ~ before_on_line(X11,X12,X13) )
& ( ~ between_on_line(X11,X12,X13,X14)
| before_on_line(X11,X13,X14)
| before_on_line(X11,X13,X12) )
& ( ~ between_on_line(X11,X12,X13,X14)
| before_on_line(X11,X13,X14)
| before_on_line(X11,X14,X13) )
& ( ~ between_on_line(X11,X12,X13,X14)
| before_on_line(X11,X12,X13)
| before_on_line(X11,X13,X12) )
& ( ~ between_on_line(X11,X12,X13,X14)
| before_on_line(X11,X12,X13)
| before_on_line(X11,X14,X13) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[bet_def])])])]) ).
cnf(c_0_5,negated_conjecture,
~ between_on_line(esk1_0,esk4_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( ~ before_on_line(X1,X3,X4)
| ~ before_on_line(X1,X2,X3)
| between_on_line(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( ~ between_on_line(X1,X4,X3,X2)
| before_on_line(X1,X3,X2)
| before_on_line(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
between_on_line(esk1_0,esk2_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,plain,
( ~ between_on_line(X1,X4,X3,X2)
| before_on_line(X1,X4,X3)
| before_on_line(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( ~ before_on_line(X1,X3,X4)
| ~ before_on_line(X1,X2,X3)
| between_on_line(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( ~ before_on_line(esk1_0,esk4_0,esk3_0)
| ~ before_on_line(esk1_0,esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( before_on_line(esk1_0,esk4_0,esk3_0)
| before_on_line(esk1_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( before_on_line(esk1_0,esk4_0,esk3_0)
| before_on_line(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( ~ before_on_line(esk1_0,esk2_0,esk3_0)
| ~ before_on_line(esk1_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( ~ before_on_line(esk1_0,esk3_0,esk2_0)
| before_on_line(esk1_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( ~ before_on_line(esk1_0,esk3_0,esk2_0)
| before_on_line(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_17,plain,
( ~ between_on_line(X1,X3,X2,X4)
| before_on_line(X1,X3,X2)
| before_on_line(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,negated_conjecture,
~ before_on_line(esk1_0,esk3_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
before_on_line(esk1_0,esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_8]),c_0_18]) ).
cnf(c_0_20,plain,
( ~ between_on_line(X1,X3,X2,X4)
| before_on_line(X1,X2,X4)
| before_on_line(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_21,negated_conjecture,
~ before_on_line(esk1_0,esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_19])]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_8]),c_0_18]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO258+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 14:48:31 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.45 Running first-order theorem proving
% 0.15/0.45 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
% 0.15/0.51 % Version: 3.5.1
% 0.15/0.51 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.51 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.51 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.51 % Starting sh5l with 300s (1) cores
% 0.15/0.51 % new_bool_1 with pid 1174653 completed with status 0
% 0.15/0.51 % Result found by new_bool_1
% 0.15/0.51 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.51 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.51 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.51 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.51 % Search class: FGHNF-FFMF21-SFFFFFNN
% 0.15/0.51 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.51 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.51 % SubtermCWHack with pid 1174656 completed with status 0
% 0.15/0.51 % Result found by SubtermCWHack
% 0.15/0.51 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.51 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.51 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.51 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.51 % Search class: FGHNF-FFMF21-SFFFFFNN
% 0.15/0.51 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.51 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.51 % Preprocessing time : 0.002 s
% 0.15/0.51
% 0.15/0.51 % Proof found!
% 0.15/0.51 % SZS status Theorem
% 0.15/0.51 % SZS output start CNFRefutation
% See solution above
% 0.15/0.51 % Parsed axioms : 32
% 0.15/0.51 % Removed by relevancy pruning/SinE : 19
% 0.15/0.51 % Initial clauses : 30
% 0.15/0.51 % Removed in clause preprocessing : 0
% 0.15/0.51 % Initial clauses in saturation : 30
% 0.15/0.51 % Processed clauses : 88
% 0.15/0.51 % ...of these trivial : 0
% 0.15/0.51 % ...subsumed : 35
% 0.15/0.51 % ...remaining for further processing : 53
% 0.15/0.51 % Other redundant clauses eliminated : 0
% 0.15/0.51 % Clauses deleted for lack of memory : 0
% 0.15/0.51 % Backward-subsumed : 9
% 0.15/0.51 % Backward-rewritten : 2
% 0.15/0.51 % Generated clauses : 125
% 0.15/0.51 % ...of the previous two non-redundant : 84
% 0.15/0.51 % ...aggressively subsumed : 0
% 0.15/0.51 % Contextual simplify-reflections : 2
% 0.15/0.51 % Paramodulations : 90
% 0.15/0.51 % Factorizations : 34
% 0.15/0.51 % NegExts : 0
% 0.15/0.51 % Equation resolutions : 0
% 0.15/0.51 % Disequality decompositions : 0
% 0.15/0.51 % Total rewrite steps : 33
% 0.15/0.51 % ...of those cached : 29
% 0.15/0.51 % Propositional unsat checks : 0
% 0.15/0.51 % Propositional check models : 0
% 0.15/0.51 % Propositional check unsatisfiable : 0
% 0.15/0.51 % Propositional clauses : 0
% 0.15/0.51 % Propositional clauses after purity: 0
% 0.15/0.51 % Propositional unsat core size : 0
% 0.15/0.51 % Propositional preprocessing time : 0.000
% 0.15/0.51 % Propositional encoding time : 0.000
% 0.15/0.51 % Propositional solver time : 0.000
% 0.15/0.51 % Success case prop preproc time : 0.000
% 0.15/0.51 % Success case prop encoding time : 0.000
% 0.15/0.51 % Success case prop solver time : 0.000
% 0.15/0.51 % Current number of processed clauses : 41
% 0.15/0.51 % Positive orientable unit clauses : 6
% 0.15/0.51 % Positive unorientable unit clauses: 0
% 0.15/0.51 % Negative unit clauses : 7
% 0.15/0.51 % Non-unit-clauses : 28
% 0.15/0.51 % Current number of unprocessed clauses: 25
% 0.15/0.51 % ...number of literals in the above : 107
% 0.15/0.51 % Current number of archived formulas : 0
% 0.15/0.51 % Current number of archived clauses : 12
% 0.15/0.51 % Clause-clause subsumption calls (NU) : 316
% 0.15/0.51 % Rec. Clause-clause subsumption calls : 209
% 0.15/0.51 % Non-unit clause-clause subsumptions : 32
% 0.15/0.51 % Unit Clause-clause subsumption calls : 28
% 0.15/0.51 % Rewrite failures with RHS unbound : 0
% 0.15/0.51 % BW rewrite match attempts : 3
% 0.15/0.51 % BW rewrite match successes : 3
% 0.15/0.51 % Condensation attempts : 0
% 0.15/0.51 % Condensation successes : 0
% 0.15/0.51 % Termbank termtop insertions : 3007
% 0.15/0.51 % Search garbage collected termcells : 454
% 0.15/0.51
% 0.15/0.51 % -------------------------------------------------
% 0.15/0.51 % User time : 0.012 s
% 0.15/0.51 % System time : 0.005 s
% 0.15/0.51 % Total time : 0.017 s
% 0.15/0.51 % Maximum resident set size: 3676 pages
% 0.15/0.51
% 0.15/0.51 % -------------------------------------------------
% 0.15/0.51 % User time : 0.015 s
% 0.15/0.51 % System time : 0.011 s
% 0.15/0.51 % Total time : 0.027 s
% 0.15/0.51 % Maximum resident set size: 4608 pages
% 0.15/0.51 % E exiting
%------------------------------------------------------------------------------