%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO087+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 : n001.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 12:27:09 PM UTC 2026
% Result : Theorem 0.14s 0.51s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 99 ( 39 ~; 35 |; 17 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 50 ( 1 sgn 31 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(corollary_2_9,conjecture,
! [X2,X4] :
( part_of(X2,X4)
=> ~ ? [X3] : meet(X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_9) ).
fof(inner_point_defn,axiom,
! [X3,X1] :
( inner_point(X3,X1)
<=> ( ~ end_point(X3,X1)
& incident_c(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).
fof(part_of_defn,axiom,
! [X1,X2] :
( part_of(X2,X1)
<=> ! [X3] :
( incident_c(X3,X2)
=> incident_c(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(c3,axiom,
! [X1] :
? [X3] : inner_point(X3,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',c3) ).
fof(meet_defn,axiom,
! [X3,X1,X2] :
( meet(X3,X1,X2)
<=> ( ! [X5] :
( ( incident_c(X5,X2)
& incident_c(X5,X1) )
=> ( end_point(X5,X2)
& end_point(X5,X1) ) )
& incident_c(X3,X2)
& incident_c(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',meet_defn) ).
fof(c_0_5,negated_conjecture,
~ ! [X2,X4] :
( part_of(X2,X4)
=> ~ ? [X3] : meet(X3,X2,X4) ),
inference(assume_negation,[status(cth)],[corollary_2_9]) ).
fof(c_0_6,plain,
! [X3,X1] :
( inner_point(X3,X1)
<=> ( ~ end_point(X3,X1)
& incident_c(X3,X1) ) ),
inference(fof_simplification,[status(thm)],[inner_point_defn]) ).
fof(c_0_7,plain,
! [X23,X24,X25,X26,X27] :
( ( part_of(X27,X26)
| ~ incident_c(esk6_2(X26,X27),X26) )
& ( part_of(X27,X26)
| incident_c(esk6_2(X26,X27),X27) )
& ( incident_c(X25,X23)
| ~ incident_c(X25,X24)
| ~ part_of(X24,X23) ) ),
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)],[part_of_defn])])])])])])]) ).
fof(c_0_8,negated_conjecture,
( meet(esk3_0,esk1_0,esk2_0)
& part_of(esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_9,plain,
! [X65,X66] :
( ( inner_point(X65,X66)
| end_point(X65,X66)
| ~ incident_c(X65,X66) )
& ( ~ inner_point(X65,X66)
| ~ end_point(X65,X66) )
& ( ~ inner_point(X65,X66)
| incident_c(X65,X66) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_10,plain,
! [X67] : inner_point(esk14_1(X67),X67),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c3])]) ).
fof(c_0_11,plain,
! [X11,X12,X13,X14,X15,X16,X17] :
( ( meet(X15,X16,X17)
| ~ incident_c(X15,X17)
| ~ incident_c(X15,X16)
| ~ end_point(esk4_3(X15,X16,X17),X17)
| ~ end_point(esk4_3(X15,X16,X17),X16) )
& ( meet(X15,X16,X17)
| ~ incident_c(X15,X17)
| ~ incident_c(X15,X16)
| incident_c(esk4_3(X15,X16,X17),X17) )
& ( meet(X15,X16,X17)
| ~ incident_c(X15,X17)
| ~ incident_c(X15,X16)
| incident_c(esk4_3(X15,X16,X17),X16) )
& ( ~ meet(X11,X12,X13)
| ~ incident_c(X14,X13)
| ~ incident_c(X14,X12)
| end_point(X14,X13) )
& ( ~ meet(X11,X12,X13)
| ~ incident_c(X14,X13)
| ~ incident_c(X14,X12)
| end_point(X14,X12) )
& ( ~ meet(X11,X12,X13)
| incident_c(X11,X13) )
& ( ~ meet(X11,X12,X13)
| incident_c(X11,X12) ) ),
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)],[meet_defn])])])])])])]) ).
cnf(c_0_12,plain,
( ~ incident_c(X3,X1)
| ~ part_of(X1,X2)
| incident_c(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
part_of(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( ~ inner_point(X1,X2)
| ~ end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
inner_point(esk14_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( ~ meet(X4,X2,X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2)
| end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
meet(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,negated_conjecture,
( ~ incident_c(X1,esk1_0)
| incident_c(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
( ~ inner_point(X1,X2)
| incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,plain,
~ end_point(esk14_1(X1),X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( ~ incident_c(X1,esk1_0)
| end_point(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_22,plain,
incident_c(esk14_1(X1),X1),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO087+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 10:39:26 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 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
% 0.14/0.51 % Version: 3.5.1
% 0.14/0.51 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.51 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.51 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.51 % Starting sh5l with 300s (1) cores
% 0.14/0.51 % new_bool_1 with pid 513044 completed with status 0
% 0.14/0.51 % Result found by new_bool_1
% 0.14/0.51 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.51 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.51 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.51 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.51 % Search class: FGHSF-FFMF32-SFFFFFNN
% 0.14/0.51 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.51 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.51 % SubtermCWHack with pid 513047 completed with status 0
% 0.14/0.51 % Result found by SubtermCWHack
% 0.14/0.51 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.51 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.51 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.51 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.51 % Search class: FGHSF-FFMF32-SFFFFFNN
% 0.14/0.51 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.51 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.51 % Preprocessing time : 0.001 s
% 0.14/0.51
% 0.14/0.51 % Proof found!
% 0.14/0.51 % SZS status Theorem
% 0.14/0.51 % SZS output start CNFRefutation
% See solution above
% 0.14/0.51 % Parsed axioms : 17
% 0.14/0.51 % Removed by relevancy pruning/SinE : 4
% 0.14/0.51 % Initial clauses : 39
% 0.14/0.51 % Removed in clause preprocessing : 0
% 0.14/0.51 % Initial clauses in saturation : 39
% 0.14/0.51 % Processed clauses : 87
% 0.14/0.51 % ...of these trivial : 3
% 0.14/0.51 % ...subsumed : 9
% 0.14/0.51 % ...remaining for further processing : 75
% 0.14/0.51 % Other redundant clauses eliminated : 3
% 0.14/0.51 % Clauses deleted for lack of memory : 0
% 0.14/0.51 % Backward-subsumed : 0
% 0.14/0.51 % Backward-rewritten : 0
% 0.14/0.51 % Generated clauses : 131
% 0.14/0.51 % ...of the previous two non-redundant : 114
% 0.14/0.51 % ...aggressively subsumed : 0
% 0.14/0.51 % Contextual simplify-reflections : 2
% 0.14/0.51 % Paramodulations : 120
% 0.14/0.51 % Factorizations : 8
% 0.14/0.51 % NegExts : 0
% 0.14/0.51 % Equation resolutions : 3
% 0.14/0.51 % Disequality decompositions : 0
% 0.14/0.51 % Total rewrite steps : 10
% 0.14/0.51 % ...of those cached : 1
% 0.14/0.51 % Propositional unsat checks : 0
% 0.14/0.51 % Propositional check models : 0
% 0.14/0.51 % Propositional check unsatisfiable : 0
% 0.14/0.51 % Propositional clauses : 0
% 0.14/0.51 % Propositional clauses after purity: 0
% 0.14/0.51 % Propositional unsat core size : 0
% 0.14/0.51 % Propositional preprocessing time : 0.000
% 0.14/0.51 % Propositional encoding time : 0.000
% 0.14/0.51 % Propositional solver time : 0.000
% 0.14/0.51 % Success case prop preproc time : 0.000
% 0.14/0.51 % Success case prop encoding time : 0.000
% 0.14/0.51 % Success case prop solver time : 0.000
% 0.14/0.51 % Current number of processed clauses : 72
% 0.14/0.51 % Positive orientable unit clauses : 17
% 0.14/0.51 % Positive unorientable unit clauses: 0
% 0.14/0.51 % Negative unit clauses : 2
% 0.14/0.51 % Non-unit-clauses : 53
% 0.14/0.51 % Current number of unprocessed clauses: 66
% 0.14/0.51 % ...number of literals in the above : 221
% 0.14/0.51 % Current number of archived formulas : 0
% 0.14/0.51 % Current number of archived clauses : 0
% 0.14/0.51 % Clause-clause subsumption calls (NU) : 308
% 0.14/0.51 % Rec. Clause-clause subsumption calls : 260
% 0.14/0.51 % Non-unit clause-clause subsumptions : 11
% 0.14/0.51 % Unit Clause-clause subsumption calls : 36
% 0.14/0.51 % Rewrite failures with RHS unbound : 0
% 0.14/0.51 % BW rewrite match attempts : 17
% 0.14/0.51 % BW rewrite match successes : 0
% 0.14/0.51 % Condensation attempts : 0
% 0.14/0.51 % Condensation successes : 0
% 0.14/0.51 % Termbank termtop insertions : 4587
% 0.14/0.51 % Search garbage collected termcells : 872
% 0.14/0.51
% 0.14/0.51 % -------------------------------------------------
% 0.14/0.51 % User time : 0.014 s
% 0.14/0.51 % System time : 0.003 s
% 0.14/0.51 % Total time : 0.017 s
% 0.14/0.51 % Maximum resident set size: 3660 pages
% 0.14/0.51
% 0.14/0.51 % -------------------------------------------------
% 0.14/0.51 % User time : 0.016 s
% 0.14/0.51 % System time : 0.010 s
% 0.14/0.51 % Total time : 0.026 s
% 0.14/0.51 % Maximum resident set size: 4608 pages
% 0.14/0.51 % E exiting
%------------------------------------------------------------------------------