TSTP Solution File: GEO084+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO084+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:31:25 EDT 2023
% Result : Theorem 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 73 ( 8 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 76 ( 25 ~; 31 |; 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 : 44 ( 0 sgn; 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(corollary_2_6_2,conjecture,
! [X2,X4,X6,X3] :
( ( part_of(X2,X6)
& part_of(X4,X6)
& meet(X3,X2,X4) )
=> part_of(sum(X2,X4),X6) ),
file('/export/starexec/sandbox/tmp/tmp.1fizm1EKTd/E---3.1_6965.p',corollary_2_6_2) ).
fof(sum_defn,axiom,
! [X1,X2,X4] :
( X1 = sum(X2,X4)
<=> ! [X5] :
( incident_c(X5,X1)
<=> ( incident_c(X5,X2)
| incident_c(X5,X4) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1fizm1EKTd/E---3.1_6965.p',sum_defn) ).
fof(part_of_defn,axiom,
! [X1,X2] :
( part_of(X2,X1)
<=> ! [X3] :
( incident_c(X3,X2)
=> incident_c(X3,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.1fizm1EKTd/E---3.1_6965.p',part_of_defn) ).
fof(c_0_3,negated_conjecture,
~ ! [X2,X4,X6,X3] :
( ( part_of(X2,X6)
& part_of(X4,X6)
& meet(X3,X2,X4) )
=> part_of(sum(X2,X4),X6) ),
inference(assume_negation,[status(cth)],[corollary_2_6_2]) ).
fof(c_0_4,plain,
! [X14,X15,X16,X17,X18,X19,X20,X21] :
( ( ~ incident_c(X17,X14)
| incident_c(X17,X15)
| incident_c(X17,X16)
| X14 != sum(X15,X16) )
& ( ~ incident_c(X18,X15)
| incident_c(X18,X14)
| X14 != sum(X15,X16) )
& ( ~ incident_c(X18,X16)
| incident_c(X18,X14)
| X14 != sum(X15,X16) )
& ( ~ 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),X21)
| ~ 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),X20)
| incident_c(esk2_3(X19,X20,X21),X21)
| X19 = sum(X20,X21) ) ),
inference(distribute,[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])])])])])]) ).
fof(c_0_5,negated_conjecture,
( part_of(esk14_0,esk16_0)
& part_of(esk15_0,esk16_0)
& meet(esk17_0,esk14_0,esk15_0)
& ~ part_of(sum(esk14_0,esk15_0),esk16_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_6,plain,
! [X8,X9,X10,X11,X12] :
( ( ~ part_of(X9,X8)
| ~ incident_c(X10,X9)
| incident_c(X10,X8) )
& ( incident_c(esk1_2(X11,X12),X12)
| part_of(X12,X11) )
& ( ~ incident_c(esk1_2(X11,X12),X11)
| part_of(X12,X11) ) ),
inference(distribute,[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_7,plain,
( incident_c(X1,X3)
| incident_c(X1,X4)
| ~ incident_c(X1,X2)
| X2 != sum(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
~ part_of(sum(esk14_0,esk15_0),esk16_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( incident_c(esk1_2(X1,X2),X2)
| part_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
part_of(esk14_0,esk16_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( incident_c(X1,X2)
| incident_c(X1,X3)
| ~ incident_c(X1,sum(X3,X2)) ),
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
incident_c(esk1_2(esk16_0,sum(esk14_0,esk15_0)),sum(esk14_0,esk15_0)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( part_of(X2,X1)
| ~ incident_c(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
part_of(esk15_0,esk16_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,negated_conjecture,
( incident_c(X1,esk16_0)
| ~ incident_c(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
( incident_c(esk1_2(esk16_0,sum(esk14_0,esk15_0)),esk15_0)
| incident_c(esk1_2(esk16_0,sum(esk14_0,esk15_0)),esk14_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
~ incident_c(esk1_2(esk16_0,sum(esk14_0,esk15_0)),esk16_0),
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( incident_c(X1,esk16_0)
| ~ incident_c(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
incident_c(esk1_2(esk16_0,sum(esk14_0,esk15_0)),esk15_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO084+1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Oct 3 06:50:37 EDT 2023
% 0.16/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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/tmp/tmp.1fizm1EKTd/E---3.1_6965.p
% 0.16/0.44 # Version: 3.1pre001
% 0.16/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44 # Starting sh5l with 300s (1) cores
% 0.16/0.44 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 7043 completed with status 0
% 0.16/0.44 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44 # No SInE strategy applied
% 0.16/0.44 # Search class: FGHSF-FFMS31-SFFFFFNN
% 0.16/0.44 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.44 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 737s (1) cores
% 0.16/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.44 # Starting new_bool_3 with 189s (1) cores
% 0.16/0.44 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.16/0.44 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/0.44 # 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 7053 completed with status 0
% 0.16/0.44 # Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 0.16/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44 # No SInE strategy applied
% 0.16/0.44 # Search class: FGHSF-FFMS31-SFFFFFNN
% 0.16/0.44 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.44 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 737s (1) cores
% 0.16/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.44 # Starting new_bool_3 with 189s (1) cores
% 0.16/0.44 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.16/0.44 # Preprocessing time : 0.001 s
% 0.16/0.44 # Presaturation interreduction done
% 0.16/0.44
% 0.16/0.44 # Proof found!
% 0.16/0.44 # SZS status Theorem
% 0.16/0.44 # SZS output start CNFRefutation
% See solution above
% 0.16/0.44 # Parsed axioms : 17
% 0.16/0.44 # Removed by relevancy pruning/SinE : 0
% 0.16/0.44 # Initial clauses : 47
% 0.16/0.44 # Removed in clause preprocessing : 0
% 0.16/0.44 # Initial clauses in saturation : 47
% 0.16/0.44 # Processed clauses : 117
% 0.16/0.44 # ...of these trivial : 0
% 0.16/0.44 # ...subsumed : 3
% 0.16/0.44 # ...remaining for further processing : 114
% 0.16/0.44 # Other redundant clauses eliminated : 4
% 0.16/0.44 # Clauses deleted for lack of memory : 0
% 0.16/0.44 # Backward-subsumed : 0
% 0.16/0.44 # Backward-rewritten : 1
% 0.16/0.44 # Generated clauses : 69
% 0.16/0.44 # ...of the previous two non-redundant : 62
% 0.16/0.44 # ...aggressively subsumed : 0
% 0.16/0.44 # Contextual simplify-reflections : 0
% 0.16/0.44 # Paramodulations : 65
% 0.16/0.44 # Factorizations : 0
% 0.16/0.44 # NegExts : 0
% 0.16/0.44 # Equation resolutions : 4
% 0.16/0.44 # Total rewrite steps : 3
% 0.16/0.44 # Propositional unsat checks : 0
% 0.16/0.44 # Propositional check models : 0
% 0.16/0.44 # Propositional check unsatisfiable : 0
% 0.16/0.44 # Propositional clauses : 0
% 0.16/0.44 # Propositional clauses after purity: 0
% 0.16/0.44 # Propositional unsat core size : 0
% 0.16/0.44 # Propositional preprocessing time : 0.000
% 0.16/0.44 # Propositional encoding time : 0.000
% 0.16/0.44 # Propositional solver time : 0.000
% 0.16/0.44 # Success case prop preproc time : 0.000
% 0.16/0.44 # Success case prop encoding time : 0.000
% 0.16/0.44 # Success case prop solver time : 0.000
% 0.16/0.44 # Current number of processed clauses : 62
% 0.16/0.44 # Positive orientable unit clauses : 13
% 0.16/0.44 # Positive unorientable unit clauses: 0
% 0.16/0.44 # Negative unit clauses : 3
% 0.16/0.44 # Non-unit-clauses : 46
% 0.16/0.44 # Current number of unprocessed clauses: 39
% 0.16/0.44 # ...number of literals in the above : 147
% 0.16/0.44 # Current number of archived formulas : 0
% 0.16/0.44 # Current number of archived clauses : 48
% 0.16/0.44 # Clause-clause subsumption calls (NU) : 831
% 0.16/0.44 # Rec. Clause-clause subsumption calls : 526
% 0.16/0.44 # Non-unit clause-clause subsumptions : 3
% 0.16/0.44 # Unit Clause-clause subsumption calls : 57
% 0.16/0.44 # Rewrite failures with RHS unbound : 0
% 0.16/0.44 # BW rewrite match attempts : 1
% 0.16/0.44 # BW rewrite match successes : 1
% 0.16/0.44 # Condensation attempts : 0
% 0.16/0.44 # Condensation successes : 0
% 0.16/0.44 # Termbank termtop insertions : 3942
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.009 s
% 0.16/0.44 # System time : 0.003 s
% 0.16/0.44 # Total time : 0.012 s
% 0.16/0.44 # Maximum resident set size: 1832 pages
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.034 s
% 0.16/0.44 # System time : 0.011 s
% 0.16/0.44 # Total time : 0.045 s
% 0.16/0.44 # Maximum resident set size: 1692 pages
% 0.16/0.44 % E---3.1 exiting
% 0.16/0.44 % E---3.1 exiting
%------------------------------------------------------------------------------