%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO260+1 : TPTP v9.3.1. Bugfixed v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 12:28:01 PM UTC 2026
% Result : Theorem 0.09s 0.45s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 14 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 87 ( 30 ~; 36 |; 16 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 67 ( 2 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X2,X1,X4,X5] :
( ( distinct_points(X1,X4)
& distinct_points(X4,X5)
& distinct_points(X1,X5)
& line(X2) )
=> ~ ( between_on_line(X2,X1,X5,X4)
& between_on_line(X2,X1,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(oag8,axiom,
! [X2,X3] :
( ( line(X3)
& line(X2) )
=> ( unequally_directed_lines(X2,reverse_line(X3))
| unequally_directed_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag8) ).
fof(oag5,axiom,
! [X2] : ~ unequally_directed_lines(X2,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag5) ).
fof(oag9,axiom,
! [X2,X3] :
( ( unequally_directed_lines(X2,reverse_line(X3))
& unequally_directed_lines(X2,X3) )
=> ( left_convergent_lines(X2,reverse_line(X3))
| left_convergent_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag9) ).
fof(oag11,axiom,
! [X2,X3] :
~ ( left_convergent_lines(X2,reverse_line(X3))
| left_convergent_lines(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag11) ).
fof(oag6,axiom,
! [X2,X3,X6] :
( unequally_directed_lines(X2,X3)
=> ( unequally_directed_lines(X3,X6)
| unequally_directed_lines(X2,X6) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag6) ).
fof(oagco9,axiom,
! [X1,X4] : ~ unequally_directed_lines(line_connecting(X1,X4),reverse_line(line_connecting(X4,X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco9) ).
fof(c_0_7,negated_conjecture,
~ ! [X2,X1,X4,X5] :
( ( distinct_points(X1,X4)
& distinct_points(X4,X5)
& distinct_points(X1,X5)
& line(X2) )
=> ~ ( between_on_line(X2,X1,X5,X4)
& between_on_line(X2,X1,X4,X5) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_8,plain,
! [X36,X37] :
( unequally_directed_lines(X36,reverse_line(X37))
| unequally_directed_lines(X36,X37)
| ~ line(X37)
| ~ line(X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag8])])]) ).
fof(c_0_9,negated_conjecture,
( between_on_line(esk1_0,esk2_0,esk4_0,esk3_0)
& between_on_line(esk1_0,esk2_0,esk3_0,esk4_0)
& distinct_points(esk2_0,esk3_0)
& distinct_points(esk3_0,esk4_0)
& distinct_points(esk2_0,esk4_0)
& line(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_10,plain,
! [X2] : ~ unequally_directed_lines(X2,X2),
inference(fof_simplification,[status(thm)],[oag5]) ).
cnf(c_0_11,plain,
( ~ line(X2)
| ~ line(X1)
| unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
line(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X29] : ~ unequally_directed_lines(X29,X29),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).
fof(c_0_14,plain,
! [X38,X39] :
( left_convergent_lines(X38,reverse_line(X39))
| left_convergent_lines(X38,X39)
| ~ unequally_directed_lines(X38,reverse_line(X39))
| ~ unequally_directed_lines(X38,X39) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag9])])]) ).
fof(c_0_15,plain,
! [X42,X43] :
( ~ left_convergent_lines(X42,reverse_line(X43))
& ~ left_convergent_lines(X42,X43) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag11])])]) ).
fof(c_0_16,plain,
! [X30,X31,X32] :
( unequally_directed_lines(X31,X32)
| unequally_directed_lines(X30,X32)
| ~ unequally_directed_lines(X30,X31) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag6])])]) ).
cnf(c_0_17,negated_conjecture,
( ~ line(X1)
| unequally_directed_lines(X1,esk1_0)
| unequally_directed_lines(X1,reverse_line(esk1_0)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
~ unequally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( ~ unequally_directed_lines(X1,X2)
| unequally_directed_lines(X2,X3)
| unequally_directed_lines(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_12]),c_0_18]) ).
cnf(c_0_23,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_19,c_0_20]),c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( unequally_directed_lines(esk1_0,X1)
| unequally_directed_lines(reverse_line(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( ~ unequally_directed_lines(reverse_line(esk1_0),X1)
| unequally_directed_lines(esk1_0,reverse_line(X1)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,negated_conjecture,
( unequally_directed_lines(X2,X1)
| unequally_directed_lines(esk1_0,X2)
| unequally_directed_lines(reverse_line(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_24]) ).
fof(c_0_27,plain,
! [X1,X4] : ~ unequally_directed_lines(line_connecting(X1,X4),reverse_line(line_connecting(X4,X1))),
inference(fof_simplification,[status(thm)],[oagco9]) ).
cnf(c_0_28,negated_conjecture,
( unequally_directed_lines(X2,X1)
| unequally_directed_lines(esk1_0,X2)
| unequally_directed_lines(esk1_0,reverse_line(X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_29,plain,
! [X58,X59] : ~ unequally_directed_lines(line_connecting(X58,X59),reverse_line(line_connecting(X59,X58))),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_27])]) ).
cnf(c_0_30,negated_conjecture,
( ~ unequally_directed_lines(esk1_0,X2)
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( unequally_directed_lines(esk1_0,X1)
| unequally_directed_lines(esk1_0,reverse_line(X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_32,plain,
~ unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( unequally_directed_lines(esk1_0,X1)
| unequally_directed_lines(esk1_0,X2)
| unequally_directed_lines(X1,reverse_line(X2)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
( unequally_directed_lines(esk1_0,line_connecting(X2,X1))
| unequally_directed_lines(esk1_0,line_connecting(X1,X2)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_35,negated_conjecture,
unequally_directed_lines(esk1_0,line_connecting(X1,X1)),
inference(ef,[status(thm)],[c_0_34]) ).
cnf(c_0_36,negated_conjecture,
( unequally_directed_lines(esk1_0,X2)
| unequally_directed_lines(line_connecting(X1,X1),X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_35]) ).
cnf(c_0_37,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(line_connecting(X1,X1))),
inference(spm,[status(thm)],[c_0_32,c_0_36]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_37]),c_0_35])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO260+1 : TPTP v9.3.1. Bugfixed v8.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 14:54:22 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.45 % Version: 3.5.1
% 0.09/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.45 % Starting sh5l with 300s (1) cores
% 0.09/0.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 294964 completed with status 0
% 0.09/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.09/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.45 % No SInE strategy applied
% 0.09/0.45 % Search class: FGHNF-FFMM21-SFFFFFNN
% 0.09/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.09/0.45 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with 191s (1) cores
% 0.09/0.45 % Starting new_bool_3 with 191s (1) cores
% 0.09/0.45 % Starting new_bool_1 with 191s (1) cores
% 0.09/0.45 % SubtermCWHack with pid 294968 completed with status 0
% 0.09/0.45 % Result found by SubtermCWHack
% 0.09/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.45 % No SInE strategy applied
% 0.09/0.45 % Search class: FGHNF-FFMM21-SFFFFFNN
% 0.09/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.45 % Preprocessing time : 0.002 s
% 0.09/0.45
% 0.09/0.45 % Proof found!
% 0.09/0.45 % SZS status Theorem
% 0.09/0.45 % SZS output start CNFRefutation
% See solution above
% 0.09/0.45 % Parsed axioms : 32
% 0.09/0.45 % Removed by relevancy pruning/SinE : 0
% 0.09/0.45 % Initial clauses : 64
% 0.09/0.45 % Removed in clause preprocessing : 0
% 0.09/0.45 % Initial clauses in saturation : 64
% 0.09/0.45 % Processed clauses : 158
% 0.09/0.45 % ...of these trivial : 1
% 0.09/0.45 % ...subsumed : 66
% 0.09/0.45 % ...remaining for further processing : 91
% 0.09/0.45 % Other redundant clauses eliminated : 0
% 0.09/0.45 % Clauses deleted for lack of memory : 0
% 0.09/0.45 % Backward-subsumed : 6
% 0.09/0.45 % Backward-rewritten : 0
% 0.09/0.45 % Generated clauses : 322
% 0.09/0.45 % ...of the previous two non-redundant : 212
% 0.09/0.45 % ...aggressively subsumed : 0
% 0.09/0.45 % Contextual simplify-reflections : 0
% 0.09/0.45 % Paramodulations : 264
% 0.09/0.45 % Factorizations : 58
% 0.09/0.45 % NegExts : 0
% 0.09/0.45 % Equation resolutions : 0
% 0.09/0.45 % Disequality decompositions : 0
% 0.09/0.45 % Total rewrite steps : 106
% 0.09/0.45 % ...of those cached : 91
% 0.09/0.45 % Propositional unsat checks : 0
% 0.09/0.45 % Propositional check models : 0
% 0.09/0.45 % Propositional check unsatisfiable : 0
% 0.09/0.45 % Propositional clauses : 0
% 0.09/0.45 % Propositional clauses after purity: 0
% 0.09/0.45 % Propositional unsat core size : 0
% 0.09/0.45 % Propositional preprocessing time : 0.000
% 0.09/0.45 % Propositional encoding time : 0.000
% 0.09/0.45 % Propositional solver time : 0.000
% 0.09/0.45 % Success case prop preproc time : 0.000
% 0.09/0.45 % Success case prop encoding time : 0.000
% 0.09/0.45 % Success case prop solver time : 0.000
% 0.09/0.45 % Current number of processed clauses : 85
% 0.09/0.45 % Positive orientable unit clauses : 15
% 0.09/0.45 % Positive unorientable unit clauses: 0
% 0.09/0.45 % Negative unit clauses : 11
% 0.09/0.45 % Non-unit-clauses : 59
% 0.09/0.45 % Current number of unprocessed clauses: 117
% 0.09/0.45 % ...number of literals in the above : 420
% 0.09/0.45 % Current number of archived formulas : 0
% 0.09/0.45 % Current number of archived clauses : 6
% 0.09/0.45 % Clause-clause subsumption calls (NU) : 984
% 0.09/0.45 % Rec. Clause-clause subsumption calls : 666
% 0.09/0.45 % Non-unit clause-clause subsumptions : 50
% 0.09/0.45 % Unit Clause-clause subsumption calls : 166
% 0.09/0.45 % Rewrite failures with RHS unbound : 0
% 0.09/0.45 % BW rewrite match attempts : 3
% 0.09/0.45 % BW rewrite match successes : 0
% 0.09/0.45 % Condensation attempts : 0
% 0.09/0.45 % Condensation successes : 0
% 0.09/0.45 % Termbank termtop insertions : 7062
% 0.09/0.45 % Search garbage collected termcells : 705
% 0.09/0.45
% 0.09/0.45 % -------------------------------------------------
% 0.09/0.45 % User time : 0.011 s
% 0.09/0.45 % System time : 0.004 s
% 0.09/0.45 % Total time : 0.015 s
% 0.09/0.45 % Maximum resident set size: 3420 pages
% 0.09/0.45
% 0.09/0.45 % -------------------------------------------------
% 0.09/0.45 % User time : 0.042 s
% 0.09/0.45 % System time : 0.016 s
% 0.09/0.45 % Total time : 0.058 s
% 0.09/0.45 % Maximum resident set size: 4608 pages
% 0.09/0.45 % E exiting
%------------------------------------------------------------------------------