%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO117+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:27:13 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 88 ( 5 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 110 ( 41 ~; 39 |; 25 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-5 aty)
% Number of variables : 66 ( 4 sgn 47 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_4_4,conjecture,
! [X9,X3] : ~ ordered_by(X9,X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_4) ).
fof(between_o_defn,axiom,
! [X9,X3,X5,X7] :
( between_o(X9,X3,X5,X7)
<=> ( ( ordered_by(X9,X5,X3)
& ordered_by(X9,X7,X5) )
| ( ordered_by(X9,X5,X7)
& ordered_by(X9,X3,X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax',between_o_defn) ).
fof(between_c_defn,axiom,
! [X1,X3,X5,X7] :
( between_c(X1,X3,X5,X7)
<=> ( ? [X8] :
( inner_point(X5,X8)
& end_point(X7,X8)
& end_point(X3,X8)
& part_of(X8,X1) )
& X3 != X7 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+1.ax',between_c_defn) ).
fof(o3,axiom,
! [X3,X5,X7,X9] :
( between_o(X9,X3,X5,X7)
<=> ? [X1] :
( between_c(X1,X3,X5,X7)
& ! [X3] :
( incident_o(X3,X9)
<=> incident_c(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax',o3) ).
fof(c_0_4,negated_conjecture,
~ ! [X9,X3] : ~ ordered_by(X9,X3,X3),
inference(assume_negation,[status(cth)],[theorem_4_4]) ).
fof(c_0_5,negated_conjecture,
~ ! [X9,X3] : ~ ordered_by(X9,X3,X3),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X95,X96,X97,X98] :
( ( between_o(X95,X96,X97,X98)
| ~ ordered_by(X95,X97,X96)
| ~ ordered_by(X95,X98,X97) )
& ( between_o(X95,X96,X97,X98)
| ~ ordered_by(X95,X97,X98)
| ~ ordered_by(X95,X96,X97) )
& ( ~ between_o(X95,X96,X97,X98)
| ordered_by(X95,X97,X98)
| ordered_by(X95,X97,X96) )
& ( ~ between_o(X95,X96,X97,X98)
| ordered_by(X95,X97,X98)
| ordered_by(X95,X98,X97) )
& ( ~ between_o(X95,X96,X97,X98)
| ordered_by(X95,X96,X97)
| ordered_by(X95,X97,X96) )
& ( ~ between_o(X95,X96,X97,X98)
| ordered_by(X95,X96,X97)
| ordered_by(X95,X98,X97) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[between_o_defn])])])]) ).
fof(c_0_7,negated_conjecture,
ordered_by(esk25_0,esk26_0,esk26_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X1,X3,X5,X7] :
( between_c(X1,X3,X5,X7)
<=> ( ? [X8] :
( inner_point(X5,X8)
& end_point(X7,X8)
& end_point(X3,X8)
& part_of(X8,X1) )
& X3 != X7 ) ),
inference(fof_simplification,[status(thm)],[between_c_defn]) ).
cnf(c_0_9,plain,
( ~ ordered_by(X1,X3,X4)
| ~ ordered_by(X1,X2,X3)
| between_o(X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
ordered_by(esk25_0,esk26_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X85,X86,X87,X88,X90,X91,X92,X93,X94] :
( ( between_c(X90,X91,X92,X93)
| ~ inner_point(X92,X94)
| ~ end_point(X93,X94)
| ~ end_point(X91,X94)
| ~ part_of(X94,X90)
| X91 = X93 )
& ( ~ between_c(X85,X86,X87,X88)
| inner_point(X87,esk14_4(X85,X86,X87,X88)) )
& ( ~ between_c(X85,X86,X87,X88)
| end_point(X88,esk14_4(X85,X86,X87,X88)) )
& ( ~ between_c(X85,X86,X87,X88)
| end_point(X86,esk14_4(X85,X86,X87,X88)) )
& ( ~ between_c(X85,X86,X87,X88)
| part_of(esk14_4(X85,X86,X87,X88),X85) )
& ( ~ between_c(X85,X86,X87,X88)
| X86 != X88 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])])]) ).
fof(c_0_12,plain,
! [X118,X119,X120,X121,X123,X124,X125,X126,X127,X128,X129] :
( ( between_o(X128,X125,X126,X127)
| ~ between_c(X129,X125,X126,X127)
| incident_c(esk19_5(X125,X126,X127,X128,X129),X129)
| incident_o(esk19_5(X125,X126,X127,X128,X129),X128) )
& ( between_o(X128,X125,X126,X127)
| ~ between_c(X129,X125,X126,X127)
| ~ incident_c(esk19_5(X125,X126,X127,X128,X129),X129)
| ~ incident_o(esk19_5(X125,X126,X127,X128,X129),X128) )
& ( ~ between_o(X121,X118,X119,X120)
| between_c(esk18_4(X118,X119,X120,X121),X118,X119,X120) )
& ( ~ between_o(X121,X118,X119,X120)
| incident_o(X124,X121)
| ~ incident_c(X124,esk18_4(X118,X119,X120,X121)) )
& ( ~ between_o(X121,X118,X119,X120)
| incident_c(X123,esk18_4(X118,X119,X120,X121))
| ~ incident_o(X123,X121) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[o3])])])])])])]) ).
cnf(c_0_13,negated_conjecture,
( ~ ordered_by(esk25_0,X1,esk26_0)
| between_o(esk25_0,esk26_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( ~ between_c(X3,X1,X4,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( ~ between_o(X4,X1,X2,X3)
| between_c(esk18_4(X1,X2,X3,X4),X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
between_o(esk25_0,esk26_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_17,plain,
~ between_c(X1,X2,X3,X2),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO117+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 11:38:42 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.45 % Version: 3.5.1
% 0.11/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.45 % Starting sh5l with 300s (1) cores
% 0.11/0.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3415828 completed with status 0
% 0.11/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.11/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.45 % No SInE strategy applied
% 0.11/0.45 % Search class: FGHSS-FFMF32-SFFFFFNN
% 0.11/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.11/0.45 % Starting G-E--_207_B07_F1_AE_CS_SP_PS_S0Y with 253s (1) cores
% 0.11/0.45 % Starting new_bool_3 with 248s (1) cores
% 0.11/0.45 % Starting new_bool_1 with 241s (1) cores
% 0.11/0.45 % new_bool_3 with pid 3415837 completed with status 0
% 0.11/0.45 % Result found by new_bool_3
% 0.11/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.45 % No SInE strategy applied
% 0.11/0.45 % Search class: FGHSS-FFMF32-SFFFFFNN
% 0.11/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.11/0.45 % Starting G-E--_207_B07_F1_AE_CS_SP_PS_S0Y with 253s (1) cores
% 0.11/0.45 % Starting new_bool_3 with 248s (1) cores
% 0.11/0.45 % Preprocessing time : 0.002 s
% 0.11/0.45 % Presaturation interreduction done
% 0.11/0.45
% 0.11/0.45 % Proof found!
% 0.11/0.45 % SZS status Theorem
% 0.11/0.45 % SZS output start CNFRefutation
% See solution above
% 0.11/0.45 % Parsed axioms : 28
% 0.11/0.45 % Removed by relevancy pruning/SinE : 0
% 0.11/0.45 % Initial clauses : 86
% 0.11/0.45 % Removed in clause preprocessing : 0
% 0.11/0.45 % Initial clauses in saturation : 86
% 0.11/0.45 % Processed clauses : 253
% 0.11/0.45 % ...of these trivial : 1
% 0.11/0.45 % ...subsumed : 4
% 0.11/0.45 % ...remaining for further processing : 248
% 0.11/0.45 % Other redundant clauses eliminated : 7
% 0.11/0.45 % Clauses deleted for lack of memory : 0
% 0.11/0.45 % Backward-subsumed : 0
% 0.11/0.45 % Backward-rewritten : 0
% 0.11/0.45 % Generated clauses : 558
% 0.11/0.45 % ...of the previous two non-redundant : 502
% 0.11/0.45 % ...aggressively subsumed : 0
% 0.11/0.45 % Contextual simplify-reflections : 2
% 0.11/0.45 % Paramodulations : 549
% 0.11/0.45 % Factorizations : 2
% 0.11/0.45 % NegExts : 0
% 0.11/0.45 % Equation resolutions : 7
% 0.11/0.45 % Disequality decompositions : 0
% 0.11/0.45 % Total rewrite steps : 46
% 0.11/0.45 % ...of those cached : 20
% 0.11/0.45 % Propositional unsat checks : 0
% 0.11/0.45 % Propositional check models : 0
% 0.11/0.45 % Propositional check unsatisfiable : 0
% 0.11/0.45 % Propositional clauses : 0
% 0.11/0.45 % Propositional clauses after purity: 0
% 0.11/0.45 % Propositional unsat core size : 0
% 0.11/0.45 % Propositional preprocessing time : 0.000
% 0.11/0.45 % Propositional encoding time : 0.000
% 0.11/0.45 % Propositional solver time : 0.000
% 0.11/0.45 % Success case prop preproc time : 0.000
% 0.11/0.45 % Success case prop encoding time : 0.000
% 0.11/0.45 % Success case prop solver time : 0.000
% 0.11/0.45 % Current number of processed clauses : 155
% 0.11/0.45 % Positive orientable unit clauses : 48
% 0.11/0.45 % Positive unorientable unit clauses: 0
% 0.11/0.45 % Negative unit clauses : 2
% 0.11/0.45 % Non-unit-clauses : 105
% 0.11/0.45 % Current number of unprocessed clauses: 421
% 0.11/0.45 % ...number of literals in the above : 995
% 0.11/0.45 % Current number of archived formulas : 0
% 0.11/0.45 % Current number of archived clauses : 86
% 0.11/0.45 % Clause-clause subsumption calls (NU) : 2881
% 0.11/0.45 % Rec. Clause-clause subsumption calls : 1630
% 0.11/0.45 % Non-unit clause-clause subsumptions : 6
% 0.11/0.45 % Unit Clause-clause subsumption calls : 287
% 0.11/0.45 % Rewrite failures with RHS unbound : 0
% 0.11/0.45 % BW rewrite match attempts : 11
% 0.11/0.45 % BW rewrite match successes : 0
% 0.11/0.45 % Condensation attempts : 0
% 0.11/0.45 % Condensation successes : 0
% 0.11/0.45 % Termbank termtop insertions : 14884
% 0.11/0.45 % Search garbage collected termcells : 1913
% 0.11/0.45
% 0.11/0.45 % -------------------------------------------------
% 0.11/0.45 % User time : 0.017 s
% 0.11/0.45 % System time : 0.002 s
% 0.11/0.45 % Total time : 0.019 s
% 0.11/0.45 % Maximum resident set size: 3932 pages
% 0.11/0.45
% 0.11/0.45 % -------------------------------------------------
% 0.11/0.45 % User time : 0.064 s
% 0.11/0.45 % System time : 0.015 s
% 0.11/0.45 % Total time : 0.079 s
% 0.11/0.45 % Maximum resident set size: 4608 pages
% 0.11/0.45 % E exiting
%------------------------------------------------------------------------------