%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO226+2 : 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 : n016.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 12:27:53 PM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 74 ( 31 ~; 20 |; 14 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 25 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X8,X9] :
( ( convergent_lines(X8,X9)
& line(X9)
& line(X8) )
=> ? [X1] :
( point(X1)
=> ( ~ apart_point_and_line(X1,X9)
& ~ apart_point_and_line(X1,X8) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(apart1,axiom,
! [X1] : ~ distinct_points(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
fof(con2,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( ( apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1) )
=> distinct_points(X3,intersection_point(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con2) ).
fof(apart3,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart3) ).
fof(apart6,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X2,X3)
| convergent_lines(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart6) ).
fof(c_0_5,negated_conjecture,
~ ! [X8,X9] :
( ( convergent_lines(X8,X9)
& line(X9)
& line(X8) )
=> ? [X1] :
( point(X1)
=> ( ~ apart_point_and_line(X1,X9)
& ~ apart_point_and_line(X1,X8) ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_6,plain,
! [X1] : ~ distinct_points(X1,X1),
inference(fof_simplification,[status(thm)],[apart1]) ).
fof(c_0_7,negated_conjecture,
~ ! [X8,X9] :
( ( convergent_lines(X8,X9)
& line(X9)
& line(X8) )
=> ? [X1] :
( point(X1)
=> ( ~ apart_point_and_line(X1,X9)
& ~ apart_point_and_line(X1,X8) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X10] : ~ distinct_points(X10,X10),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_6])]) ).
fof(c_0_9,plain,
! [X25,X26,X27] :
( ( ~ convergent_lines(X25,X26)
| distinct_points(X27,intersection_point(X25,X26))
| ~ apart_point_and_line(X27,X26) )
& ( ~ convergent_lines(X25,X26)
| distinct_points(X27,intersection_point(X25,X26))
| ~ apart_point_and_line(X27,X25) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[con2])])])]) ).
fof(c_0_10,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[apart3]) ).
fof(c_0_11,plain,
! [X19,X20,X21] :
( convergent_lines(X20,X21)
| convergent_lines(X19,X21)
| ~ convergent_lines(X19,X20) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apart6])])]) ).
fof(c_0_12,negated_conjecture,
! [X50] :
( ( apart_point_and_line(X50,esk2_0)
| apart_point_and_line(X50,esk1_0) )
& point(X50)
& convergent_lines(esk1_0,esk2_0)
& line(esk2_0)
& line(esk1_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
cnf(c_0_13,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( ~ convergent_lines(X3,X2)
| ~ apart_point_and_line(X1,X2)
| distinct_points(X1,intersection_point(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_15,plain,
! [X12] : ~ convergent_lines(X12,X12),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).
cnf(c_0_16,plain,
( ~ convergent_lines(X1,X2)
| convergent_lines(X2,X3)
| convergent_lines(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( ~ convergent_lines(X2,X3)
| ~ apart_point_and_line(X1,X2)
| distinct_points(X1,intersection_point(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,plain,
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( convergent_lines(esk2_0,X1)
| convergent_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
( ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( ~ convergent_lines(X1,esk1_0)
| apart_point_and_line(intersection_point(X1,esk1_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
convergent_lines(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO226+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n016.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 20 14:02:37 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.44 Running first-order theorem proving
% 0.10/0.44 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
% 0.17/0.47 % Version: 3.5.1
% 0.17/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.47 % Starting sh5l with 300s (1) cores
% 0.17/0.47 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 241997 completed with status 0
% 0.17/0.47 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.47 % No SInE strategy applied
% 0.17/0.47 % Search class: FGUNF-FFSS22-SFFFFFNN
% 0.17/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.17/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.17/0.47 % Starting new_bool_3 with 136s (1) cores
% 0.17/0.47 % Starting new_bool_1 with 136s (1) cores
% 0.17/0.47 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 242004 completed with status 0
% 0.17/0.47 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.47 % No SInE strategy applied
% 0.17/0.47 % Search class: FGUNF-FFSS22-SFFFFFNN
% 0.17/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.17/0.47 % Preprocessing time : 0.001 s
% 0.17/0.47 % Presaturation interreduction done
% 0.17/0.47
% 0.17/0.47 % Proof found!
% 0.17/0.47 % SZS status Theorem
% 0.17/0.47 % SZS output start CNFRefutation
% See solution above
% 0.17/0.47 % Parsed axioms : 17
% 0.17/0.47 % Removed by relevancy pruning/SinE : 0
% 0.17/0.47 % Initial clauses : 23
% 0.17/0.47 % Removed in clause preprocessing : 2
% 0.17/0.47 % Initial clauses in saturation : 21
% 0.17/0.47 % Processed clauses : 52
% 0.17/0.47 % ...of these trivial : 0
% 0.17/0.47 % ...subsumed : 3
% 0.17/0.47 % ...remaining for further processing : 49
% 0.17/0.47 % Other redundant clauses eliminated : 0
% 0.17/0.47 % Clauses deleted for lack of memory : 0
% 0.17/0.47 % Backward-subsumed : 0
% 0.17/0.47 % Backward-rewritten : 0
% 0.17/0.47 % Generated clauses : 26
% 0.17/0.47 % ...of the previous two non-redundant : 25
% 0.17/0.47 % ...aggressively subsumed : 0
% 0.17/0.47 % Contextual simplify-reflections : 0
% 0.17/0.47 % Paramodulations : 24
% 0.17/0.47 % Factorizations : 2
% 0.17/0.47 % NegExts : 0
% 0.17/0.47 % Equation resolutions : 0
% 0.17/0.47 % Disequality decompositions : 0
% 0.17/0.47 % Total rewrite steps : 1
% 0.17/0.47 % ...of those cached : 0
% 0.17/0.47 % Propositional unsat checks : 0
% 0.17/0.47 % Propositional check models : 0
% 0.17/0.47 % Propositional check unsatisfiable : 0
% 0.17/0.47 % Propositional clauses : 0
% 0.17/0.47 % Propositional clauses after purity: 0
% 0.17/0.47 % Propositional unsat core size : 0
% 0.17/0.47 % Propositional preprocessing time : 0.000
% 0.17/0.47 % Propositional encoding time : 0.000
% 0.17/0.47 % Propositional solver time : 0.000
% 0.17/0.47 % Success case prop preproc time : 0.000
% 0.17/0.47 % Success case prop encoding time : 0.000
% 0.17/0.47 % Success case prop solver time : 0.000
% 0.17/0.47 % Current number of processed clauses : 28
% 0.17/0.47 % Positive orientable unit clauses : 4
% 0.17/0.47 % Positive unorientable unit clauses: 0
% 0.17/0.47 % Negative unit clauses : 3
% 0.17/0.47 % Non-unit-clauses : 21
% 0.17/0.47 % Current number of unprocessed clauses: 14
% 0.17/0.47 % ...number of literals in the above : 51
% 0.17/0.47 % Current number of archived formulas : 0
% 0.17/0.47 % Current number of archived clauses : 22
% 0.17/0.47 % Clause-clause subsumption calls (NU) : 37
% 0.17/0.47 % Rec. Clause-clause subsumption calls : 37
% 0.17/0.47 % Non-unit clause-clause subsumptions : 2
% 0.17/0.47 % Unit Clause-clause subsumption calls : 1
% 0.17/0.47 % Rewrite failures with RHS unbound : 0
% 0.17/0.47 % BW rewrite match attempts : 0
% 0.17/0.47 % BW rewrite match successes : 0
% 0.17/0.47 % Condensation attempts : 0
% 0.17/0.47 % Condensation successes : 0
% 0.17/0.47 % Termbank termtop insertions : 2142
% 0.17/0.47 % Search garbage collected termcells : 318
% 0.17/0.47
% 0.17/0.47 % -------------------------------------------------
% 0.17/0.47 % User time : 0.006 s
% 0.17/0.47 % System time : 0.002 s
% 0.17/0.47 % Total time : 0.008 s
% 0.17/0.47 % Maximum resident set size: 3656 pages
% 0.17/0.47
% 0.17/0.47 % -------------------------------------------------
% 0.17/0.47 % User time : 0.016 s
% 0.17/0.47 % System time : 0.013 s
% 0.17/0.47 % Total time : 0.029 s
% 0.17/0.47 % Maximum resident set size: 4608 pages
% 0.17/0.47 % E exiting
%------------------------------------------------------------------------------