%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO088+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 : n018.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 0.31s 0.71s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 6 unt; 0 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 167 ( 58 ~; 83 |; 20 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_2_10,conjecture,
! [X1,X8,X3] :
( ( incident_c(X3,X8)
& end_point(X3,X1)
& part_of(X8,X1) )
=> end_point(X3,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_10) ).
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(end_point_defn,axiom,
! [X3,X1] :
( end_point(X3,X1)
<=> ( ! [X2,X4] :
( ( incident_c(X3,X4)
& incident_c(X3,X2)
& part_of(X4,X1)
& part_of(X2,X1) )
=> ( part_of(X4,X2)
| part_of(X2,X4) ) )
& incident_c(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',end_point_defn) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X8,X3] :
( ( incident_c(X3,X8)
& end_point(X3,X1)
& part_of(X8,X1) )
=> end_point(X3,X8) ),
inference(assume_negation,[status(cth)],[theorem_2_10]) ).
fof(c_0_4,plain,
! [X19,X20,X21,X22,X23] :
( ( part_of(X23,X22)
| ~ incident_c(esk5_2(X22,X23),X22) )
& ( part_of(X23,X22)
| incident_c(esk5_2(X22,X23),X23) )
& ( incident_c(X21,X19)
| ~ incident_c(X21,X20)
| ~ part_of(X20,X19) ) ),
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_5,negated_conjecture,
( ~ end_point(esk3_0,esk2_0)
& incident_c(esk3_0,esk2_0)
& end_point(esk3_0,esk1_0)
& part_of(esk2_0,esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_6,plain,
! [X25,X26,X27,X28,X29,X30] :
( ( end_point(X29,X30)
| ~ incident_c(X29,X30)
| ~ part_of(esk7_2(X29,X30),esk6_2(X29,X30)) )
& ( end_point(X29,X30)
| ~ incident_c(X29,X30)
| ~ part_of(esk6_2(X29,X30),esk7_2(X29,X30)) )
& ( end_point(X29,X30)
| ~ incident_c(X29,X30)
| incident_c(X29,esk7_2(X29,X30)) )
& ( end_point(X29,X30)
| ~ incident_c(X29,X30)
| incident_c(X29,esk6_2(X29,X30)) )
& ( end_point(X29,X30)
| ~ incident_c(X29,X30)
| part_of(esk7_2(X29,X30),X30) )
& ( end_point(X29,X30)
| ~ incident_c(X29,X30)
| part_of(esk6_2(X29,X30),X30) )
& ( ~ end_point(X25,X26)
| part_of(X28,X27)
| part_of(X27,X28)
| ~ incident_c(X25,X28)
| ~ incident_c(X25,X27)
| ~ part_of(X28,X26)
| ~ part_of(X27,X26) )
& ( ~ end_point(X25,X26)
| incident_c(X25,X26) ) ),
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)],[end_point_defn])])])])])])]) ).
cnf(c_0_7,plain,
( ~ incident_c(X3,X1)
| ~ part_of(X1,X2)
| incident_c(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
part_of(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ incident_c(X1,X2)
| end_point(X1,X2)
| part_of(esk7_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ end_point(X4,X2)
| ~ incident_c(X4,X3)
| ~ incident_c(X4,X1)
| ~ part_of(X3,X2)
| ~ part_of(X1,X2)
| part_of(X3,X1)
| part_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
end_point(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( ~ incident_c(esk5_2(X1,X2),X1)
| part_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
( ~ incident_c(X1,esk2_0)
| incident_c(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_14,plain,
( ~ incident_c(X1,X2)
| ~ incident_c(X3,esk7_2(X1,X2))
| incident_c(X3,X2)
| end_point(X1,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_15,plain,
( part_of(X2,X1)
| incident_c(esk5_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,negated_conjecture,
( ~ part_of(X2,esk1_0)
| ~ part_of(X1,esk1_0)
| ~ incident_c(esk3_0,X2)
| ~ incident_c(esk3_0,X1)
| part_of(X2,X1)
| part_of(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,plain,
( ~ incident_c(X1,X2)
| end_point(X1,X2)
| incident_c(X1,esk7_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( ~ incident_c(esk5_2(esk1_0,X1),esk2_0)
| part_of(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
( ~ incident_c(X1,X2)
| part_of(esk7_2(X1,X2),X3)
| incident_c(esk5_2(X3,esk7_2(X1,X2)),X2)
| end_point(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( ~ incident_c(X1,X2)
| end_point(X1,X2)
| part_of(esk6_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( ~ part_of(X2,esk1_0)
| ~ part_of(esk7_2(esk3_0,X1),esk1_0)
| ~ incident_c(esk3_0,X1)
| ~ incident_c(esk3_0,X2)
| part_of(esk7_2(esk3_0,X1),X2)
| part_of(X2,esk7_2(esk3_0,X1))
| end_point(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( ~ incident_c(X1,esk2_0)
| part_of(esk7_2(X1,esk2_0),esk1_0)
| end_point(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
incident_c(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
~ end_point(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_25,plain,
( ~ incident_c(X1,X2)
| ~ incident_c(X3,esk6_2(X1,X2))
| incident_c(X3,X2)
| end_point(X1,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( ~ part_of(X1,esk1_0)
| ~ incident_c(esk3_0,X1)
| part_of(X1,esk7_2(esk3_0,esk2_0))
| part_of(esk7_2(esk3_0,esk2_0),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_27,plain,
( ~ incident_c(X1,X2)
| end_point(X1,X2)
| incident_c(X1,esk6_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_28,plain,
( ~ incident_c(X1,X2)
| part_of(esk6_2(X1,X2),X3)
| incident_c(esk5_2(X3,esk6_2(X1,X2)),X2)
| end_point(X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_15]) ).
cnf(c_0_29,negated_conjecture,
( ~ part_of(esk6_2(esk3_0,X1),esk1_0)
| ~ incident_c(esk3_0,X1)
| part_of(esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,X1))
| part_of(esk6_2(esk3_0,X1),esk7_2(esk3_0,esk2_0))
| end_point(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
( ~ incident_c(X1,esk2_0)
| part_of(esk6_2(X1,esk2_0),esk1_0)
| end_point(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_28]) ).
cnf(c_0_31,plain,
( ~ incident_c(X1,X2)
| ~ part_of(esk7_2(X1,X2),esk6_2(X1,X2))
| end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_32,negated_conjecture,
( part_of(esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0))
| part_of(esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_23])]),c_0_24]) ).
cnf(c_0_33,plain,
( ~ incident_c(X1,X2)
| ~ part_of(esk6_2(X1,X2),esk7_2(X1,X2))
| end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_34,negated_conjecture,
part_of(esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_23])]),c_0_24]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_23])]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO088+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.48 % Computer : n018.cluster.edu
% 0.20/0.48 % Model : x86_64 x86_64
% 0.20/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.48 % Memory : 8046.5625MB
% 0.20/0.48 % OS : Linux 6.8.0-71-generic
% 0.20/0.48 % CPULimit : 300
% 0.20/0.48 % WCLimit : 300
% 0.20/0.48 % DateTime : Sun Sep 20 10:31:27 UTC 2026
% 0.20/0.49 % CPUTime :
% 0.20/0.49 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.58 Running first-order theorem proving
% 0.25/0.59 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
% 0.31/0.71 % Version: 3.5.1
% 0.31/0.71 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.31/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.31/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.31/0.71 % Starting new_bool_3 with 300s (1) cores
% 0.31/0.71 % Starting new_bool_1 with 300s (1) cores
% 0.31/0.71 % Starting sh5l with 300s (1) cores
% 0.31/0.71 % new_bool_3 with pid 3506433 completed with status 0
% 0.31/0.71 % Result found by new_bool_3
% 0.31/0.71 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.31/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.31/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.31/0.71 % Starting new_bool_3 with 300s (1) cores
% 0.31/0.71 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.31/0.71 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.31/0.71 % Search class: FGHSF-FFMS22-SFFFFFNN
% 0.31/0.71 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.31/0.71 % Starting SubtermCWHack with 31s (1) cores
% 0.31/0.71 % SubtermCWHack with pid 3506437 completed with status 0
% 0.31/0.71 % Result found by SubtermCWHack
% 0.31/0.71 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.31/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.31/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.31/0.71 % Starting new_bool_3 with 300s (1) cores
% 0.31/0.71 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.31/0.71 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.31/0.71 % Search class: FGHSF-FFMS22-SFFFFFNN
% 0.31/0.71 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.31/0.71 % Starting SubtermCWHack with 31s (1) cores
% 0.31/0.71 % Preprocessing time : 0.003 s
% 0.31/0.71
% 0.31/0.71 % Proof found!
% 0.31/0.71 % SZS status Theorem
% 0.31/0.71 % SZS output start CNFRefutation
% See solution above
% 0.31/0.71 % Parsed axioms : 17
% 0.31/0.71 % Removed by relevancy pruning/SinE : 10
% 0.31/0.71 % Initial clauses : 21
% 0.31/0.71 % Removed in clause preprocessing : 0
% 0.31/0.71 % Initial clauses in saturation : 21
% 0.31/0.71 % Processed clauses : 237
% 0.31/0.71 % ...of these trivial : 0
% 0.31/0.71 % ...subsumed : 73
% 0.31/0.71 % ...remaining for further processing : 164
% 0.31/0.71 % Other redundant clauses eliminated : 2
% 0.31/0.71 % Clauses deleted for lack of memory : 0
% 0.31/0.71 % Backward-subsumed : 11
% 0.31/0.71 % Backward-rewritten : 1
% 0.31/0.71 % Generated clauses : 1155
% 0.31/0.71 % ...of the previous two non-redundant : 1103
% 0.31/0.71 % ...aggressively subsumed : 0
% 0.31/0.71 % Contextual simplify-reflections : 1
% 0.31/0.71 % Paramodulations : 1127
% 0.31/0.71 % Factorizations : 26
% 0.31/0.71 % NegExts : 0
% 0.31/0.71 % Equation resolutions : 2
% 0.31/0.71 % Disequality decompositions : 0
% 0.31/0.71 % Total rewrite steps : 73
% 0.31/0.71 % ...of those cached : 64
% 0.31/0.71 % Propositional unsat checks : 0
% 0.31/0.71 % Propositional check models : 0
% 0.31/0.71 % Propositional check unsatisfiable : 0
% 0.31/0.71 % Propositional clauses : 0
% 0.31/0.71 % Propositional clauses after purity: 0
% 0.31/0.71 % Propositional unsat core size : 0
% 0.31/0.71 % Propositional preprocessing time : 0.000
% 0.31/0.71 % Propositional encoding time : 0.000
% 0.31/0.71 % Propositional solver time : 0.000
% 0.31/0.71 % Success case prop preproc time : 0.000
% 0.31/0.71 % Success case prop encoding time : 0.000
% 0.31/0.71 % Success case prop solver time : 0.000
% 0.31/0.71 % Current number of processed clauses : 152
% 0.31/0.71 % Positive orientable unit clauses : 6
% 0.31/0.71 % Positive unorientable unit clauses: 0
% 0.31/0.71 % Negative unit clauses : 1
% 0.31/0.71 % Non-unit-clauses : 145
% 0.31/0.71 % Current number of unprocessed clauses: 883
% 0.31/0.71 % ...number of literals in the above : 5909
% 0.31/0.71 % Current number of archived formulas : 0
% 0.31/0.71 % Current number of archived clauses : 12
% 0.31/0.71 % Clause-clause subsumption calls (NU) : 2716
% 0.31/0.71 % Rec. Clause-clause subsumption calls : 782
% 0.31/0.71 % Non-unit clause-clause subsumptions : 85
% 0.31/0.71 % Unit Clause-clause subsumption calls : 3
% 0.31/0.71 % Rewrite failures with RHS unbound : 0
% 0.31/0.71 % BW rewrite match attempts : 5
% 0.31/0.71 % BW rewrite match successes : 1
% 0.31/0.71 % Condensation attempts : 0
% 0.31/0.71 % Condensation successes : 0
% 0.31/0.71 % Termbank termtop insertions : 39040
% 0.31/0.71 % Search garbage collected termcells : 559
% 0.31/0.71
% 0.31/0.71 % -------------------------------------------------
% 0.31/0.71 % User time : 0.074 s
% 0.31/0.71 % System time : 0.006 s
% 0.31/0.71 % Total time : 0.080 s
% 0.31/0.71 % Maximum resident set size: 3608 pages
% 0.31/0.71
% 0.31/0.71 % -------------------------------------------------
% 0.31/0.71 % User time : 0.076 s
% 0.31/0.71 % System time : 0.014 s
% 0.31/0.71 % Total time : 0.090 s
% 0.31/0.71 % Maximum resident set size: 4608 pages
% 0.31/0.71 % E exiting
%------------------------------------------------------------------------------