%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO083+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 : n005.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 0.11s 0.47s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 80 ( 10 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 87 ( 32 ~; 35 |; 14 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 57 ( 4 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(corollary_2_6_1,conjecture,
! [X2,X4,X6,X3] :
( ( meet(X3,X2,X6)
& meet(X3,X2,X4)
& part_of(X4,X6) )
=> part_of(sum(X2,X4),sum(X2,X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_1) ).
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(sum_defn,axiom,
! [X1,X2,X4] :
( X1 = sum(X2,X4)
<=> ! [X5] :
( incident_c(X5,X1)
<=> ( incident_c(X5,X4)
| incident_c(X5,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',sum_defn) ).
fof(c_0_3,negated_conjecture,
~ ! [X2,X4,X6,X3] :
( ( meet(X3,X2,X6)
& meet(X3,X2,X4)
& part_of(X4,X6) )
=> part_of(sum(X2,X4),sum(X2,X6)) ),
inference(assume_negation,[status(cth)],[corollary_2_6_1]) ).
fof(c_0_4,negated_conjecture,
( ~ part_of(sum(esk14_0,esk15_0),sum(esk14_0,esk16_0))
& meet(esk17_0,esk14_0,esk16_0)
& meet(esk17_0,esk14_0,esk15_0)
& part_of(esk15_0,esk16_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_5,plain,
! [X8,X9,X10,X11,X12] :
( ( part_of(X12,X11)
| ~ incident_c(esk1_2(X11,X12),X11) )
& ( part_of(X12,X11)
| incident_c(esk1_2(X11,X12),X12) )
& ( incident_c(X10,X8)
| ~ incident_c(X10,X9)
| ~ part_of(X9,X8) ) ),
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_6,plain,
! [X14,X15,X16,X17,X18,X19,X20,X21] :
( ( X19 = sum(X20,X21)
| incident_c(esk2_3(X19,X20,X21),X21)
| incident_c(esk2_3(X19,X20,X21),X20)
| incident_c(esk2_3(X19,X20,X21),X19) )
& ( X19 = sum(X20,X21)
| ~ incident_c(esk2_3(X19,X20,X21),X19)
| ~ incident_c(esk2_3(X19,X20,X21),X21) )
& ( X19 = sum(X20,X21)
| ~ incident_c(esk2_3(X19,X20,X21),X19)
| ~ incident_c(esk2_3(X19,X20,X21),X20) )
& ( X14 != sum(X15,X16)
| incident_c(X18,X14)
| ~ incident_c(X18,X16) )
& ( X14 != sum(X15,X16)
| incident_c(X18,X14)
| ~ incident_c(X18,X15) )
& ( X14 != sum(X15,X16)
| incident_c(X17,X16)
| incident_c(X17,X15)
| ~ incident_c(X17,X14) ) ),
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)],[sum_defn])])])])])])]) ).
cnf(c_0_7,negated_conjecture,
~ part_of(sum(esk14_0,esk15_0),sum(esk14_0,esk16_0)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( ~ incident_c(esk1_2(X1,X2),X1)
| part_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( X3 != sum(X2,X4)
| ~ incident_c(X1,X2)
| incident_c(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( X2 != sum(X3,X4)
| ~ incident_c(X1,X2)
| incident_c(X1,X4)
| incident_c(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( part_of(X2,X1)
| incident_c(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
~ incident_c(esk1_2(sum(esk14_0,esk16_0),sum(esk14_0,esk15_0)),sum(esk14_0,esk16_0)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,plain,
( ~ incident_c(X1,X2)
| incident_c(X1,sum(X2,X3)) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( X3 != sum(X4,X2)
| ~ incident_c(X1,X2)
| incident_c(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,plain,
( ~ incident_c(X3,X1)
| ~ part_of(X1,X2)
| incident_c(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,negated_conjecture,
part_of(esk15_0,esk16_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,plain,
( ~ incident_c(X1,sum(X3,X2))
| incident_c(X1,X3)
| incident_c(X1,X2) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
incident_c(esk1_2(sum(esk14_0,esk16_0),sum(esk14_0,esk15_0)),sum(esk14_0,esk15_0)),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_19,negated_conjecture,
~ incident_c(esk1_2(sum(esk14_0,esk16_0),sum(esk14_0,esk15_0)),esk14_0),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,plain,
( ~ incident_c(X1,X3)
| incident_c(X1,sum(X2,X3)) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
( ~ incident_c(X1,esk15_0)
| incident_c(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
incident_c(esk1_2(sum(esk14_0,esk16_0),sum(esk14_0,esk15_0)),esk15_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_23,negated_conjecture,
~ incident_c(esk1_2(sum(esk14_0,esk16_0),sum(esk14_0,esk15_0)),esk16_0),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO083+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 10:14:18 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.43 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
% 0.11/0.47 % Version: 3.5.1
% 0.11/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.47 % Starting sh5l with 300s (1) cores
% 0.11/0.47 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 872716 completed with status 0
% 0.11/0.47 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.11/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.47 % No SInE strategy applied
% 0.11/0.47 % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.11/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.11/0.47 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 0.11/0.47 % Starting new_bool_3 with 189s (1) cores
% 0.11/0.47 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.11/0.47 % 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 872727 completed with status 0
% 0.11/0.47 % Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 0.11/0.47 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.47 % No SInE strategy applied
% 0.11/0.47 % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.11/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.47 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.11/0.47 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 0.11/0.47 % Starting new_bool_3 with 189s (1) cores
% 0.11/0.47 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.11/0.47 % Preprocessing time : 0.002 s
% 0.11/0.47 % Presaturation interreduction done
% 0.11/0.47
% 0.11/0.47 % Proof found!
% 0.11/0.47 % SZS status Theorem
% 0.11/0.47 % SZS output start CNFRefutation
% See solution above
% 0.11/0.47 % Parsed axioms : 17
% 0.11/0.47 % Removed by relevancy pruning/SinE : 0
% 0.11/0.47 % Initial clauses : 47
% 0.11/0.47 % Removed in clause preprocessing : 0
% 0.11/0.47 % Initial clauses in saturation : 47
% 0.11/0.47 % Processed clauses : 113
% 0.11/0.47 % ...of these trivial : 1
% 0.11/0.47 % ...subsumed : 4
% 0.11/0.47 % ...remaining for further processing : 108
% 0.11/0.47 % Other redundant clauses eliminated : 4
% 0.11/0.47 % Clauses deleted for lack of memory : 0
% 0.11/0.47 % Backward-subsumed : 0
% 0.11/0.47 % Backward-rewritten : 0
% 0.11/0.47 % Generated clauses : 64
% 0.11/0.47 % ...of the previous two non-redundant : 57
% 0.11/0.47 % ...aggressively subsumed : 0
% 0.11/0.47 % Contextual simplify-reflections : 0
% 0.11/0.47 % Paramodulations : 60
% 0.11/0.47 % Factorizations : 0
% 0.11/0.47 % NegExts : 0
% 0.11/0.47 % Equation resolutions : 4
% 0.11/0.47 % Disequality decompositions : 0
% 0.11/0.47 % Total rewrite steps : 3
% 0.11/0.47 % ...of those cached : 0
% 0.11/0.47 % Propositional unsat checks : 0
% 0.11/0.47 % Propositional check models : 0
% 0.11/0.47 % Propositional check unsatisfiable : 0
% 0.11/0.47 % Propositional clauses : 0
% 0.11/0.47 % Propositional clauses after purity: 0
% 0.11/0.47 % Propositional unsat core size : 0
% 0.11/0.47 % Propositional preprocessing time : 0.000
% 0.11/0.47 % Propositional encoding time : 0.000
% 0.11/0.47 % Propositional solver time : 0.000
% 0.11/0.47 % Success case prop preproc time : 0.000
% 0.11/0.47 % Success case prop encoding time : 0.000
% 0.11/0.47 % Success case prop solver time : 0.000
% 0.11/0.47 % Current number of processed clauses : 57
% 0.11/0.47 % Positive orientable unit clauses : 13
% 0.11/0.47 % Positive unorientable unit clauses: 0
% 0.11/0.47 % Negative unit clauses : 6
% 0.11/0.47 % Non-unit-clauses : 38
% 0.11/0.47 % Current number of unprocessed clauses: 38
% 0.11/0.47 % ...number of literals in the above : 141
% 0.11/0.47 % Current number of archived formulas : 0
% 0.11/0.47 % Current number of archived clauses : 47
% 0.11/0.47 % Clause-clause subsumption calls (NU) : 517
% 0.11/0.47 % Rec. Clause-clause subsumption calls : 312
% 0.11/0.47 % Non-unit clause-clause subsumptions : 4
% 0.11/0.47 % Unit Clause-clause subsumption calls : 36
% 0.11/0.47 % Rewrite failures with RHS unbound : 0
% 0.11/0.47 % BW rewrite match attempts : 2
% 0.11/0.47 % BW rewrite match successes : 0
% 0.11/0.47 % Condensation attempts : 0
% 0.11/0.47 % Condensation successes : 0
% 0.11/0.47 % Termbank termtop insertions : 4551
% 0.11/0.47 % Search garbage collected termcells : 1013
% 0.11/0.47
% 0.11/0.47 % -------------------------------------------------
% 0.11/0.47 % User time : 0.012 s
% 0.11/0.47 % System time : 0.004 s
% 0.11/0.47 % Total time : 0.017 s
% 0.11/0.47 % Maximum resident set size: 3660 pages
% 0.11/0.47
% 0.11/0.47 % -------------------------------------------------
% 0.11/0.47 % User time : 0.080 s
% 0.11/0.47 % System time : 0.019 s
% 0.11/0.47 % Total time : 0.100 s
% 0.11/0.47 % Maximum resident set size: 4864 pages
% 0.11/0.47 % E exiting
%------------------------------------------------------------------------------