%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO094+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 : n013.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 12:27:10 PM UTC 2026
% Result : Theorem 0.16s 0.49s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 43 ( 12 unt; 0 def)
% Number of atoms : 173 ( 0 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 209 ( 79 ~; 83 |; 36 &)
% ( 5 <=>; 6 =>; 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 : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 87 ( 6 sgn 49 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(proposition_2_14_3,conjecture,
! [X1,X2,X4,X3] :
( ( part_of(X4,X1)
& part_of(X2,X1)
& meet(X3,X2,X4) )
=> ~ end_point(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3) ).
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(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(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(c_0_6,negated_conjecture,
~ ! [X1,X2,X4,X3] :
( ( part_of(X4,X1)
& part_of(X2,X1)
& meet(X3,X2,X4) )
=> ~ end_point(X3,X1) ),
inference(assume_negation,[status(cth)],[proposition_2_14_3]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X2,X4,X3] :
( ( part_of(X4,X1)
& part_of(X2,X1)
& meet(X3,X2,X4) )
=> ~ end_point(X3,X1) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_8,plain,
! [X23,X24,X25,X26,X27,X28] :
( ( end_point(X27,X28)
| ~ incident_c(X27,X28)
| ~ part_of(esk4_2(X27,X28),esk3_2(X27,X28)) )
& ( end_point(X27,X28)
| ~ incident_c(X27,X28)
| ~ part_of(esk3_2(X27,X28),esk4_2(X27,X28)) )
& ( end_point(X27,X28)
| ~ incident_c(X27,X28)
| incident_c(X27,esk4_2(X27,X28)) )
& ( end_point(X27,X28)
| ~ incident_c(X27,X28)
| incident_c(X27,esk3_2(X27,X28)) )
& ( end_point(X27,X28)
| ~ incident_c(X27,X28)
| part_of(esk4_2(X27,X28),X28) )
& ( end_point(X27,X28)
| ~ incident_c(X27,X28)
| part_of(esk3_2(X27,X28),X28) )
& ( ~ end_point(X23,X24)
| part_of(X26,X25)
| part_of(X25,X26)
| ~ incident_c(X23,X26)
| ~ incident_c(X23,X25)
| ~ part_of(X26,X24)
| ~ part_of(X25,X24) )
& ( ~ end_point(X23,X24)
| incident_c(X23,X24) ) ),
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])])])])])])]) ).
fof(c_0_9,negated_conjecture,
( end_point(esk17_0,esk14_0)
& part_of(esk16_0,esk14_0)
& part_of(esk15_0,esk14_0)
& meet(esk17_0,esk15_0,esk16_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_10,plain,
! [X33,X34,X35,X36,X37,X38,X39] :
( ( meet(X37,X38,X39)
| ~ incident_c(X37,X39)
| ~ incident_c(X37,X38)
| ~ end_point(esk5_3(X37,X38,X39),X39)
| ~ end_point(esk5_3(X37,X38,X39),X38) )
& ( meet(X37,X38,X39)
| ~ incident_c(X37,X39)
| ~ incident_c(X37,X38)
| incident_c(esk5_3(X37,X38,X39),X39) )
& ( meet(X37,X38,X39)
| ~ incident_c(X37,X39)
| ~ incident_c(X37,X38)
| incident_c(esk5_3(X37,X38,X39),X38) )
& ( ~ meet(X33,X34,X35)
| ~ incident_c(X36,X35)
| ~ incident_c(X36,X34)
| end_point(X36,X35) )
& ( ~ meet(X33,X34,X35)
| ~ incident_c(X36,X35)
| ~ incident_c(X36,X34)
| end_point(X36,X34) )
& ( ~ meet(X33,X34,X35)
| incident_c(X33,X35) )
& ( ~ meet(X33,X34,X35)
| incident_c(X33,X34) ) ),
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_11,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_8]) ).
cnf(c_0_12,negated_conjecture,
end_point(esk17_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( ~ meet(X1,X3,X2)
| incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
meet(esk17_0,esk15_0,esk16_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
( ~ part_of(X2,esk14_0)
| ~ part_of(X1,esk14_0)
| ~ incident_c(esk17_0,X2)
| ~ incident_c(esk17_0,X1)
| part_of(X2,X1)
| part_of(X1,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
incident_c(esk17_0,esk16_0),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
part_of(esk16_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
( ~ meet(X1,X2,X3)
| incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_19,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_20,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])])])])])])]) ).
cnf(c_0_21,negated_conjecture,
( ~ part_of(X1,esk14_0)
| ~ incident_c(esk17_0,X1)
| part_of(esk16_0,X1)
| part_of(X1,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_22,negated_conjecture,
incident_c(esk17_0,esk15_0),
inference(spm,[status(thm)],[c_0_18,c_0_14]) ).
cnf(c_0_23,negated_conjecture,
part_of(esk15_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,plain,
( ~ meet(X4,X2,X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2)
| end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_25,plain,
! [X31,X32] :
( ( inner_point(X31,X32)
| end_point(X31,X32)
| ~ incident_c(X31,X32) )
& ( ~ inner_point(X31,X32)
| ~ end_point(X31,X32) )
& ( ~ inner_point(X31,X32)
| incident_c(X31,X32) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
cnf(c_0_26,plain,
( ~ incident_c(X3,X1)
| ~ part_of(X1,X2)
| incident_c(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
( part_of(esk15_0,esk16_0)
| part_of(esk16_0,esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_28,negated_conjecture,
( ~ incident_c(X1,esk15_0)
| ~ incident_c(X1,esk16_0)
| end_point(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_14]) ).
cnf(c_0_29,plain,
( ~ inner_point(X1,X2)
| incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,plain,
( ~ inner_point(X1,X2)
| ~ end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( ~ incident_c(X1,esk15_0)
| part_of(esk16_0,esk15_0)
| incident_c(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( ~ incident_c(X1,esk16_0)
| ~ inner_point(X1,esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
fof(c_0_33,plain,
! [X56] : inner_point(esk8_1(X56),X56),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c3])]) ).
cnf(c_0_34,negated_conjecture,
( ~ inner_point(X1,esk15_0)
| part_of(esk16_0,esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_29]),c_0_32]) ).
cnf(c_0_35,plain,
inner_point(esk8_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_36,plain,
( ~ meet(X4,X3,X2)
| ~ incident_c(X1,X2)
| ~ incident_c(X1,X3)
| end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_37,negated_conjecture,
part_of(esk16_0,esk15_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( ~ incident_c(X1,esk16_0)
| ~ incident_c(X1,esk15_0)
| end_point(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_14]) ).
cnf(c_0_39,negated_conjecture,
( ~ incident_c(X1,esk16_0)
| incident_c(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
( ~ incident_c(X1,esk16_0)
| end_point(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_41,negated_conjecture,
~ inner_point(X1,esk16_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_29]),c_0_30]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_41,c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO094+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n013.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 20 10:41:37 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.44 Running first-order theorem proving
% 0.10/0.44 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
% 0.16/0.49 % Version: 3.5.1
% 0.16/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.49 % Starting sh5l with 300s (1) cores
% 0.16/0.49 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2612372 completed with status 0
% 0.16/0.49 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.49 % No SInE strategy applied
% 0.16/0.49 % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.16/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.49 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 0.16/0.49 % Starting new_bool_3 with 189s (1) cores
% 0.16/0.49 % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.16/0.49 % G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with pid 2612381 completed with status 0
% 0.16/0.49 % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S0Y
% 0.16/0.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.49 % No SInE strategy applied
% 0.16/0.49 % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.16/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.49 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 0.16/0.49 % Preprocessing time : 0.001 s
% 0.16/0.49
% 0.16/0.49 % Proof found!
% 0.16/0.49 % SZS status Theorem
% 0.16/0.49 % SZS output start CNFRefutation
% See solution above
% 0.16/0.49 % Parsed axioms : 17
% 0.16/0.49 % Removed by relevancy pruning/SinE : 0
% 0.16/0.49 % Initial clauses : 47
% 0.16/0.49 % Removed in clause preprocessing : 0
% 0.16/0.49 % Initial clauses in saturation : 47
% 0.16/0.49 % Processed clauses : 425
% 0.16/0.49 % ...of these trivial : 0
% 0.16/0.49 % ...subsumed : 162
% 0.16/0.49 % ...remaining for further processing : 263
% 0.16/0.49 % Other redundant clauses eliminated : 14
% 0.16/0.49 % Clauses deleted for lack of memory : 0
% 0.16/0.49 % Backward-subsumed : 53
% 0.16/0.49 % Backward-rewritten : 11
% 0.16/0.49 % Generated clauses : 1235
% 0.16/0.49 % ...of the previous two non-redundant : 1061
% 0.16/0.49 % ...aggressively subsumed : 0
% 0.16/0.49 % Contextual simplify-reflections : 17
% 0.16/0.49 % Paramodulations : 1199
% 0.16/0.49 % Factorizations : 22
% 0.16/0.49 % NegExts : 0
% 0.16/0.49 % Equation resolutions : 14
% 0.16/0.49 % Disequality decompositions : 0
% 0.16/0.49 % Total rewrite steps : 156
% 0.16/0.49 % ...of those cached : 141
% 0.16/0.49 % Propositional unsat checks : 0
% 0.16/0.49 % Propositional check models : 0
% 0.16/0.49 % Propositional check unsatisfiable : 0
% 0.16/0.49 % Propositional clauses : 0
% 0.16/0.49 % Propositional clauses after purity: 0
% 0.16/0.49 % Propositional unsat core size : 0
% 0.16/0.49 % Propositional preprocessing time : 0.000
% 0.16/0.49 % Propositional encoding time : 0.000
% 0.16/0.49 % Propositional solver time : 0.000
% 0.16/0.49 % Success case prop preproc time : 0.000
% 0.16/0.49 % Success case prop encoding time : 0.000
% 0.16/0.49 % Success case prop solver time : 0.000
% 0.16/0.49 % Current number of processed clauses : 195
% 0.16/0.49 % Positive orientable unit clauses : 16
% 0.16/0.49 % Positive unorientable unit clauses: 0
% 0.16/0.49 % Negative unit clauses : 8
% 0.16/0.49 % Non-unit-clauses : 171
% 0.16/0.49 % Current number of unprocessed clauses: 649
% 0.16/0.49 % ...number of literals in the above : 3592
% 0.16/0.49 % Current number of archived formulas : 0
% 0.16/0.49 % Current number of archived clauses : 64
% 0.16/0.49 % Clause-clause subsumption calls (NU) : 4682
% 0.16/0.49 % Rec. Clause-clause subsumption calls : 2228
% 0.16/0.49 % Non-unit clause-clause subsumptions : 182
% 0.16/0.49 % Unit Clause-clause subsumption calls : 339
% 0.16/0.49 % Rewrite failures with RHS unbound : 0
% 0.16/0.49 % BW rewrite match attempts : 22
% 0.16/0.49 % BW rewrite match successes : 5
% 0.16/0.49 % Condensation attempts : 0
% 0.16/0.49 % Condensation successes : 0
% 0.16/0.49 % Termbank termtop insertions : 24231
% 0.16/0.49 % Search garbage collected termcells : 1007
% 0.16/0.49
% 0.16/0.49 % -------------------------------------------------
% 0.16/0.49 % User time : 0.028 s
% 0.16/0.49 % System time : 0.006 s
% 0.16/0.49 % Total time : 0.034 s
% 0.16/0.49 % Maximum resident set size: 3660 pages
% 0.16/0.49
% 0.16/0.49 % -------------------------------------------------
% 0.16/0.49 % User time : 0.122 s
% 0.16/0.49 % System time : 0.020 s
% 0.16/0.49 % Total time : 0.142 s
% 0.16/0.49 % Maximum resident set size: 4608 pages
% 0.16/0.49 % E exiting
%------------------------------------------------------------------------------