TSTP Solution File: GRP031-2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GRP031-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 : 300s
% WCLimit : 300s
% DateTime : Sat May 4 07:47:00 EDT 2024
% Result : Unsatisfiable 0.22s 0.50s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 20 ( 9 unt; 0 nHn; 15 RR)
% Number of literals : 46 ( 0 equ; 29 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 61 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity2,axiom,
( product(X3,X4,X6)
| ~ product(X1,X2,X3)
| ~ product(X2,X4,X5)
| ~ product(X1,X5,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.3PaKoUgqnx/E---3.1_10329.p',associativity2) ).
cnf(associativity1,axiom,
( product(X1,X5,X6)
| ~ product(X1,X2,X3)
| ~ product(X2,X4,X5)
| ~ product(X3,X4,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.3PaKoUgqnx/E---3.1_10329.p',associativity1) ).
cnf(right_inverse,hypothesis,
product(X1,inverse(X1),identity),
file('/export/starexec/sandbox2/tmp/tmp.3PaKoUgqnx/E---3.1_10329.p',right_inverse) ).
cnf(right_identity,hypothesis,
product(X1,identity,X1),
file('/export/starexec/sandbox2/tmp/tmp.3PaKoUgqnx/E---3.1_10329.p',right_identity) ).
cnf(prove_a_has_a_left_inverse,negated_conjecture,
~ product(X1,a,identity),
file('/export/starexec/sandbox2/tmp/tmp.3PaKoUgqnx/E---3.1_10329.p',prove_a_has_a_left_inverse) ).
cnf(c_0_5,plain,
( product(X3,X4,X6)
| ~ product(X1,X2,X3)
| ~ product(X2,X4,X5)
| ~ product(X1,X5,X6) ),
inference(fof_simplification,[status(thm)],[associativity2]) ).
cnf(c_0_6,plain,
( product(X1,X5,X6)
| ~ product(X1,X2,X3)
| ~ product(X2,X4,X5)
| ~ product(X3,X4,X6) ),
inference(fof_simplification,[status(thm)],[associativity1]) ).
cnf(c_0_7,plain,
( product(X3,X4,X6)
| ~ product(X1,X2,X3)
| ~ product(X2,X4,X5)
| ~ product(X1,X5,X6) ),
c_0_5 ).
cnf(c_0_8,hypothesis,
product(X1,inverse(X1),identity),
right_inverse ).
cnf(c_0_9,plain,
( product(X1,X5,X6)
| ~ product(X1,X2,X3)
| ~ product(X2,X4,X5)
| ~ product(X3,X4,X6) ),
c_0_6 ).
cnf(c_0_10,hypothesis,
( product(X1,inverse(X2),X3)
| ~ product(X4,identity,X3)
| ~ product(X4,X2,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,hypothesis,
product(X1,identity,X1),
right_identity ).
cnf(c_0_12,hypothesis,
( product(X1,X2,identity)
| ~ product(X3,inverse(X4),X2)
| ~ product(X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_13,hypothesis,
( product(X1,inverse(X2),X3)
| ~ product(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,hypothesis,
( product(X1,X2,identity)
| ~ product(X1,X3,X4)
| ~ product(X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
~ product(X1,a,identity),
inference(fof_simplification,[status(thm)],[prove_a_has_a_left_inverse]) ).
cnf(c_0_16,hypothesis,
( product(X1,X2,identity)
| ~ product(X2,X1,identity) ),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
~ product(X1,a,identity),
c_0_15 ).
cnf(c_0_18,hypothesis,
product(inverse(X1),X1,identity),
inference(spm,[status(thm)],[c_0_16,c_0_8]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_17,c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP031-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 16:25:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 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/tmp/tmp.3PaKoUgqnx/E---3.1_10329.p
% 0.22/0.50 # Version: 3.1.0
% 0.22/0.50 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.50 # Starting sh5l with 300s (1) cores
% 0.22/0.50 # new_bool_3 with pid 10408 completed with status 0
% 0.22/0.50 # Result found by new_bool_3
% 0.22/0.50 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.50 # Search class: FHUNS-FFSF11-SFFFFFNN
% 0.22/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.50 # SAT001_MinMin_p005000_rr_RG with pid 10413 completed with status 0
% 0.22/0.50 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.22/0.50 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.50 # Search class: FHUNS-FFSF11-SFFFFFNN
% 0.22/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.50 # Preprocessing time : 0.001 s
% 0.22/0.50 # Presaturation interreduction done
% 0.22/0.50
% 0.22/0.50 # Proof found!
% 0.22/0.50 # SZS status Unsatisfiable
% 0.22/0.50 # SZS output start CNFRefutation
% See solution above
% 0.22/0.50 # Parsed axioms : 7
% 0.22/0.50 # Removed by relevancy pruning/SinE : 2
% 0.22/0.50 # Initial clauses : 5
% 0.22/0.50 # Removed in clause preprocessing : 0
% 0.22/0.50 # Initial clauses in saturation : 5
% 0.22/0.50 # Processed clauses : 29
% 0.22/0.50 # ...of these trivial : 0
% 0.22/0.50 # ...subsumed : 2
% 0.22/0.50 # ...remaining for further processing : 27
% 0.22/0.50 # Other redundant clauses eliminated : 0
% 0.22/0.50 # Clauses deleted for lack of memory : 0
% 0.22/0.50 # Backward-subsumed : 0
% 0.22/0.50 # Backward-rewritten : 1
% 0.22/0.50 # Generated clauses : 63
% 0.22/0.50 # ...of the previous two non-redundant : 37
% 0.22/0.50 # ...aggressively subsumed : 0
% 0.22/0.50 # Contextual simplify-reflections : 0
% 0.22/0.50 # Paramodulations : 63
% 0.22/0.50 # Factorizations : 0
% 0.22/0.50 # NegExts : 0
% 0.22/0.50 # Equation resolutions : 0
% 0.22/0.50 # Disequality decompositions : 0
% 0.22/0.50 # Total rewrite steps : 12
% 0.22/0.50 # ...of those cached : 7
% 0.22/0.50 # Propositional unsat checks : 0
% 0.22/0.50 # Propositional check models : 0
% 0.22/0.50 # Propositional check unsatisfiable : 0
% 0.22/0.50 # Propositional clauses : 0
% 0.22/0.50 # Propositional clauses after purity: 0
% 0.22/0.50 # Propositional unsat core size : 0
% 0.22/0.50 # Propositional preprocessing time : 0.000
% 0.22/0.50 # Propositional encoding time : 0.000
% 0.22/0.50 # Propositional solver time : 0.000
% 0.22/0.50 # Success case prop preproc time : 0.000
% 0.22/0.50 # Success case prop encoding time : 0.000
% 0.22/0.50 # Success case prop solver time : 0.000
% 0.22/0.50 # Current number of processed clauses : 21
% 0.22/0.50 # Positive orientable unit clauses : 4
% 0.22/0.50 # Positive unorientable unit clauses: 0
% 0.22/0.50 # Negative unit clauses : 1
% 0.22/0.50 # Non-unit-clauses : 16
% 0.22/0.50 # Current number of unprocessed clauses: 18
% 0.22/0.50 # ...number of literals in the above : 47
% 0.22/0.50 # Current number of archived formulas : 0
% 0.22/0.50 # Current number of archived clauses : 6
% 0.22/0.50 # Clause-clause subsumption calls (NU) : 40
% 0.22/0.50 # Rec. Clause-clause subsumption calls : 33
% 0.22/0.50 # Non-unit clause-clause subsumptions : 2
% 0.22/0.50 # Unit Clause-clause subsumption calls : 0
% 0.22/0.50 # Rewrite failures with RHS unbound : 0
% 0.22/0.50 # BW rewrite match attempts : 2
% 0.22/0.50 # BW rewrite match successes : 1
% 0.22/0.50 # Condensation attempts : 0
% 0.22/0.50 # Condensation successes : 0
% 0.22/0.50 # Termbank termtop insertions : 881
% 0.22/0.50 # Search garbage collected termcells : 23
% 0.22/0.50
% 0.22/0.50 # -------------------------------------------------
% 0.22/0.50 # User time : 0.004 s
% 0.22/0.50 # System time : 0.001 s
% 0.22/0.50 # Total time : 0.005 s
% 0.22/0.50 # Maximum resident set size: 1624 pages
% 0.22/0.50
% 0.22/0.50 # -------------------------------------------------
% 0.22/0.50 # User time : 0.005 s
% 0.22/0.50 # System time : 0.003 s
% 0.22/0.50 # Total time : 0.008 s
% 0.22/0.50 # Maximum resident set size: 1692 pages
% 0.22/0.50 % E---3.1 exiting
% 0.22/0.50 % E exiting
%------------------------------------------------------------------------------