%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GEO215+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:29:44 PM UTC 2026
% Result : Theorem 0.11s 0.47s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 8 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 65 ( 26 ~; 29 |; 2 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X6,X7,X8] :
( convergent_lines(X6,X7)
=> ( unorthogonal_lines(X7,X8)
| unorthogonal_lines(X6,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(ceq3,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| distinct_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq3) ).
fof(ouo1,axiom,
! [X9,X6,X7,X8] :
( distinct_lines(X6,X7)
=> ( unorthogonal_lines(X7,X8)
| unorthogonal_lines(X6,X8)
| apart_point_and_line(X9,X7)
| apart_point_and_line(X9,X6) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ouo1) ).
fof(apart3,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
fof(ci3,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci3) ).
fof(ci4,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci4) ).
fof(c_0_6,negated_conjecture,
~ ! [X6,X7,X8] :
( convergent_lines(X6,X7)
=> ( unorthogonal_lines(X7,X8)
| unorthogonal_lines(X6,X8) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_7,plain,
! [X40,X41,X42] :
( convergent_lines(X40,X42)
| distinct_lines(X41,X42)
| ~ convergent_lines(X40,X41) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq3])])]) ).
fof(c_0_8,negated_conjecture,
( ~ unorthogonal_lines(esk2_0,esk3_0)
& ~ unorthogonal_lines(esk1_0,esk3_0)
& convergent_lines(esk1_0,esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_9,plain,
! [X59,X60,X61,X62] :
( unorthogonal_lines(X61,X62)
| unorthogonal_lines(X60,X62)
| apart_point_and_line(X59,X61)
| apart_point_and_line(X59,X60)
| ~ distinct_lines(X60,X61) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ouo1])])]) ).
cnf(c_0_10,plain,
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X3)
| distinct_lines(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X1] : ~ convergent_lines(X1,X1),
inference(fof_simplification,[status(thm)],[apart3]) ).
fof(c_0_13,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[ci3]) ).
cnf(c_0_14,plain,
( ~ distinct_lines(X1,X2)
| unorthogonal_lines(X2,X4)
| unorthogonal_lines(X1,X4)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
( distinct_lines(esk2_0,X1)
| convergent_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_16,plain,
! [X12] : ~ convergent_lines(X12,X12),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_12])]) ).
fof(c_0_17,plain,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
inference(fof_simplification,[status(thm)],[ci4]) ).
fof(c_0_18,plain,
! [X26,X27] :
( ~ apart_point_and_line(intersection_point(X26,X27),X26)
| ~ convergent_lines(X26,X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_19,negated_conjecture,
~ unorthogonal_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,negated_conjecture,
( convergent_lines(esk1_0,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,esk2_0)
| unorthogonal_lines(X2,X1)
| unorthogonal_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
~ unorthogonal_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_23,plain,
! [X28,X29] :
( ~ apart_point_and_line(intersection_point(X28,X29),X29)
| ~ convergent_lines(X28,X29) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
cnf(c_0_24,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X1)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
( apart_point_and_line(X1,esk2_0)
| apart_point_and_line(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]) ).
cnf(c_0_26,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( ~ convergent_lines(esk1_0,X1)
| apart_point_and_line(intersection_point(esk1_0,X1),esk2_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO215+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 13:28:37 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.43 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
% 0.11/0.47 % Version: 3.5.1
% 0.11/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.47 % Starting sh5l with 300s (1) cores
% 0.11/0.47 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2826611 completed with status 0
% 0.11/0.47 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.11/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.47 % No SInE strategy applied
% 0.11/0.47 % Search class: FGHNF-FFMF22-SFFFFFNN
% 0.11/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.11/0.47 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.11/0.47 % Starting new_bool_3 with 136s (1) cores
% 0.11/0.47 % Starting new_bool_1 with 136s (1) cores
% 0.11/0.47 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2826618 completed with status 0
% 0.11/0.47 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.11/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.47 % No SInE strategy applied
% 0.11/0.47 % Search class: FGHNF-FFMF22-SFFFFFNN
% 0.11/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.11/0.47 % Preprocessing time : 0.001 s
% 0.11/0.47 % Presaturation interreduction done
% 0.11/0.47
% 0.11/0.47 % Proof found!
% 0.11/0.47 % SZS status Theorem
% 0.11/0.47 % SZS output start CNFRefutation
% See solution above
% 0.11/0.47 % Parsed axioms : 23
% 0.11/0.47 % Removed by relevancy pruning/SinE : 0
% 0.11/0.47 % Initial clauses : 28
% 0.11/0.47 % Removed in clause preprocessing : 0
% 0.11/0.47 % Initial clauses in saturation : 28
% 0.11/0.47 % Processed clauses : 228
% 0.11/0.47 % ...of these trivial : 0
% 0.11/0.47 % ...subsumed : 59
% 0.11/0.47 % ...remaining for further processing : 169
% 0.11/0.47 % Other redundant clauses eliminated : 0
% 0.11/0.47 % Clauses deleted for lack of memory : 0
% 0.11/0.47 % Backward-subsumed : 0
% 0.11/0.47 % Backward-rewritten : 0
% 0.11/0.47 % Generated clauses : 691
% 0.11/0.47 % ...of the previous two non-redundant : 550
% 0.11/0.47 % ...aggressively subsumed : 0
% 0.11/0.47 % Contextual simplify-reflections : 0
% 0.11/0.47 % Paramodulations : 613
% 0.11/0.47 % Factorizations : 78
% 0.11/0.47 % NegExts : 0
% 0.11/0.47 % Equation resolutions : 0
% 0.11/0.47 % Disequality decompositions : 0
% 0.11/0.47 % Total rewrite steps : 138
% 0.11/0.47 % ...of those cached : 115
% 0.11/0.47 % Propositional unsat checks : 0
% 0.11/0.47 % Propositional check models : 0
% 0.11/0.47 % Propositional check unsatisfiable : 0
% 0.11/0.47 % Propositional clauses : 0
% 0.11/0.47 % Propositional clauses after purity: 0
% 0.11/0.47 % Propositional unsat core size : 0
% 0.11/0.47 % Propositional preprocessing time : 0.000
% 0.11/0.47 % Propositional encoding time : 0.000
% 0.11/0.47 % Propositional solver time : 0.000
% 0.11/0.47 % Success case prop preproc time : 0.000
% 0.11/0.47 % Success case prop encoding time : 0.000
% 0.11/0.47 % Success case prop solver time : 0.000
% 0.11/0.47 % Current number of processed clauses : 142
% 0.11/0.47 % Positive orientable unit clauses : 24
% 0.11/0.47 % Positive unorientable unit clauses: 0
% 0.11/0.47 % Negative unit clauses : 9
% 0.11/0.47 % Non-unit-clauses : 109
% 0.11/0.47 % Current number of unprocessed clauses: 375
% 0.11/0.47 % ...number of literals in the above : 1726
% 0.11/0.47 % Current number of archived formulas : 0
% 0.11/0.47 % Current number of archived clauses : 27
% 0.11/0.47 % Clause-clause subsumption calls (NU) : 4752
% 0.11/0.47 % Rec. Clause-clause subsumption calls : 2638
% 0.11/0.47 % Non-unit clause-clause subsumptions : 59
% 0.11/0.47 % Unit Clause-clause subsumption calls : 702
% 0.11/0.47 % Rewrite failures with RHS unbound : 0
% 0.11/0.47 % BW rewrite match attempts : 0
% 0.11/0.47 % BW rewrite match successes : 0
% 0.11/0.47 % Condensation attempts : 0
% 0.11/0.47 % Condensation successes : 0
% 0.11/0.47 % Termbank termtop insertions : 8981
% 0.11/0.47 % Search garbage collected termcells : 275
% 0.11/0.47
% 0.11/0.47 % -------------------------------------------------
% 0.11/0.47 % User time : 0.021 s
% 0.11/0.47 % System time : 0.003 s
% 0.11/0.47 % Total time : 0.024 s
% 0.11/0.47 % Maximum resident set size: 3660 pages
% 0.11/0.47
% 0.11/0.47 % -------------------------------------------------
% 0.11/0.47 % User time : 0.081 s
% 0.11/0.47 % System time : 0.014 s
% 0.11/0.47 % Total time : 0.095 s
% 0.11/0.47 % Maximum resident set size: 4864 pages
% 0.11/0.47 % E exiting
%------------------------------------------------------------------------------