%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO082+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:27:07 PM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 50 ( 10 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 46 ( 15 ~; 18 |; 7 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(part_of_antisymmetry,conjecture,
! [X2,X4] :
( ( part_of(X4,X2)
& part_of(X2,X4) )
=> X2 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry) ).
fof(part_of_defn,axiom,
! [X1,X2] :
( part_of(X2,X1)
<=> ! [X3] :
( incident_c(X3,X2)
=> incident_c(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(c9,axiom,
! [X1,X2] :
( ! [X3] :
( incident_c(X3,X1)
<=> incident_c(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c9) ).
fof(c_0_3,negated_conjecture,
~ ! [X2,X4] :
( ( part_of(X4,X2)
& part_of(X2,X4) )
=> X2 = X4 ),
inference(assume_negation,[status(cth)],[part_of_antisymmetry]) ).
fof(c_0_4,plain,
! [X10,X11,X12,X13,X14] :
( ( part_of(X14,X13)
| ~ incident_c(esk3_2(X13,X14),X13) )
& ( part_of(X14,X13)
| incident_c(esk3_2(X13,X14),X14) )
& ( incident_c(X12,X10)
| ~ incident_c(X12,X11)
| ~ part_of(X11,X10) ) ),
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,
( esk1_0 != esk2_0
& part_of(esk2_0,esk1_0)
& part_of(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_3])])])]) ).
cnf(c_0_6,plain,
( ~ incident_c(X3,X1)
| ~ part_of(X1,X2)
| incident_c(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
part_of(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X46,X47] :
( ( X46 = X47
| incident_c(esk8_2(X46,X47),X47)
| incident_c(esk8_2(X46,X47),X46) )
& ( X46 = X47
| ~ incident_c(esk8_2(X46,X47),X47)
| ~ incident_c(esk8_2(X46,X47),X46) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c9])])])])]) ).
cnf(c_0_9,negated_conjecture,
( ~ incident_c(X1,esk1_0)
| incident_c(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( X1 = X2
| incident_c(esk8_2(X1,X2),X2)
| incident_c(esk8_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( incident_c(esk8_2(esk1_0,X1),X1)
| incident_c(esk8_2(esk1_0,X1),esk2_0)
| esk1_0 = X1 ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( ~ incident_c(esk8_2(X1,X2),X2)
| ~ incident_c(esk8_2(X1,X2),X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
incident_c(esk8_2(esk1_0,esk2_0),esk2_0),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_11]),c_0_12]) ).
cnf(c_0_15,negated_conjecture,
part_of(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,negated_conjecture,
~ incident_c(esk8_2(esk1_0,esk2_0),esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( ~ incident_c(X1,esk2_0)
| incident_c(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO082+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n011.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 10:10:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.10/0.45 % Version: 3.5.1
% 0.10/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % Starting sh5l with 300s (1) cores
% 0.10/0.45 % new_bool_1 with pid 3474849 completed with status 0
% 0.10/0.45 % Result found by new_bool_1
% 0.10/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.45 % Search class: FGHSF-FFMF32-SFFFFFNN
% 0.10/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.45 % SubtermCWHack with pid 3474852 completed with status 0
% 0.10/0.45 % Result found by SubtermCWHack
% 0.10/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.45 % Search class: FGHSF-FFMF32-SFFFFFNN
% 0.10/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.45 % Preprocessing time : 0.002 s
% 0.10/0.45
% 0.10/0.45 % Proof found!
% 0.10/0.45 % SZS status Theorem
% 0.10/0.45 % SZS output start CNFRefutation
% See solution above
% 0.10/0.45 % Parsed axioms : 17
% 0.10/0.45 % Removed by relevancy pruning/SinE : 6
% 0.10/0.45 % Initial clauses : 36
% 0.10/0.45 % Removed in clause preprocessing : 0
% 0.10/0.45 % Initial clauses in saturation : 36
% 0.10/0.45 % Processed clauses : 85
% 0.10/0.45 % ...of these trivial : 2
% 0.10/0.45 % ...subsumed : 14
% 0.10/0.45 % ...remaining for further processing : 69
% 0.10/0.45 % Other redundant clauses eliminated : 3
% 0.10/0.45 % Clauses deleted for lack of memory : 0
% 0.10/0.45 % Backward-subsumed : 0
% 0.10/0.45 % Backward-rewritten : 0
% 0.10/0.45 % Generated clauses : 119
% 0.10/0.45 % ...of the previous two non-redundant : 103
% 0.10/0.45 % ...aggressively subsumed : 0
% 0.10/0.45 % Contextual simplify-reflections : 0
% 0.10/0.45 % Paramodulations : 110
% 0.10/0.45 % Factorizations : 6
% 0.10/0.45 % NegExts : 0
% 0.10/0.45 % Equation resolutions : 3
% 0.10/0.45 % Disequality decompositions : 0
% 0.10/0.45 % Total rewrite steps : 10
% 0.10/0.45 % ...of those cached : 1
% 0.10/0.45 % Propositional unsat checks : 0
% 0.10/0.45 % Propositional check models : 0
% 0.10/0.45 % Propositional check unsatisfiable : 0
% 0.10/0.45 % Propositional clauses : 0
% 0.10/0.45 % Propositional clauses after purity: 0
% 0.10/0.45 % Propositional unsat core size : 0
% 0.10/0.45 % Propositional preprocessing time : 0.000
% 0.10/0.45 % Propositional encoding time : 0.000
% 0.10/0.45 % Propositional solver time : 0.000
% 0.10/0.45 % Success case prop preproc time : 0.000
% 0.10/0.45 % Success case prop encoding time : 0.000
% 0.10/0.45 % Success case prop solver time : 0.000
% 0.10/0.45 % Current number of processed clauses : 66
% 0.10/0.45 % Positive orientable unit clauses : 11
% 0.10/0.45 % Positive unorientable unit clauses: 0
% 0.10/0.45 % Negative unit clauses : 2
% 0.10/0.45 % Non-unit-clauses : 53
% 0.10/0.45 % Current number of unprocessed clauses: 54
% 0.10/0.45 % ...number of literals in the above : 187
% 0.10/0.45 % Current number of archived formulas : 0
% 0.10/0.45 % Current number of archived clauses : 0
% 0.10/0.45 % Clause-clause subsumption calls (NU) : 483
% 0.10/0.45 % Rec. Clause-clause subsumption calls : 352
% 0.10/0.45 % Non-unit clause-clause subsumptions : 14
% 0.10/0.45 % Unit Clause-clause subsumption calls : 22
% 0.10/0.45 % Rewrite failures with RHS unbound : 0
% 0.10/0.45 % BW rewrite match attempts : 11
% 0.10/0.45 % BW rewrite match successes : 0
% 0.10/0.45 % Condensation attempts : 0
% 0.10/0.45 % Condensation successes : 0
% 0.10/0.45 % Termbank termtop insertions : 4329
% 0.10/0.45 % Search garbage collected termcells : 858
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.011 s
% 0.10/0.45 % System time : 0.003 s
% 0.10/0.45 % Total time : 0.013 s
% 0.10/0.45 % Maximum resident set size: 3660 pages
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.012 s
% 0.10/0.45 % System time : 0.008 s
% 0.10/0.45 % Total time : 0.020 s
% 0.10/0.45 % Maximum resident set size: 4608 pages
% 0.10/0.45 % E exiting
%------------------------------------------------------------------------------