TSTP Solution File: FLD039-3 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : FLD039-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 : Mon May 20 19:52:28 EDT 2024
% Result : Unsatisfiable 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 25 ( 11 unt; 0 nHn; 25 RR)
% Number of literals : 47 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_addition_1,axiom,
( sum(X1,X2,X3)
| ~ sum(X1,X4,X5)
| ~ sum(X4,X6,X2)
| ~ sum(X5,X6,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(sum_3,negated_conjecture,
sum(additive_identity,multiplicative_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_3) ).
cnf(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(commutativity_addition,axiom,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(different_identities,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',different_identities) ).
cnf(c_0_6,plain,
( sum(X1,X2,X3)
| ~ sum(X1,X4,X5)
| ~ sum(X4,X6,X2)
| ~ sum(X5,X6,X3) ),
inference(fof_simplification,[status(thm)],[associativity_addition_1]) ).
cnf(c_0_7,plain,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_addition]) ).
cnf(c_0_8,plain,
( sum(X1,X2,X3)
| ~ sum(X1,X4,X5)
| ~ sum(X4,X6,X2)
| ~ sum(X5,X6,X3) ),
c_0_6 ).
cnf(c_0_9,negated_conjecture,
sum(additive_identity,multiplicative_identity,additive_identity),
sum_3 ).
cnf(c_0_10,plain,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
c_0_7 ).
cnf(c_0_11,axiom,
defined(multiplicative_identity),
well_definedness_of_multiplicative_identity ).
cnf(c_0_12,plain,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_addition]) ).
cnf(c_0_13,negated_conjecture,
( sum(X1,X2,additive_identity)
| ~ sum(X3,multiplicative_identity,X2)
| ~ sum(X1,X3,additive_identity) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
c_0_12 ).
cnf(c_0_16,negated_conjecture,
( sum(X1,multiplicative_identity,additive_identity)
| ~ sum(X1,additive_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( sum(multiplicative_identity,X1,additive_identity)
| ~ sum(X1,additive_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
sum(multiplicative_identity,additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_15,c_0_9]) ).
cnf(c_0_19,plain,
( sum(X1,X2,multiplicative_identity)
| ~ sum(X3,multiplicative_identity,X2)
| ~ sum(X1,X3,additive_identity) ),
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
sum(multiplicative_identity,multiplicative_identity,additive_identity),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
~ sum(additive_identity,additive_identity,multiplicative_identity),
inference(fof_simplification,[status(thm)],[different_identities]) ).
cnf(c_0_22,negated_conjecture,
( sum(X1,additive_identity,multiplicative_identity)
| ~ sum(X1,multiplicative_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
~ sum(additive_identity,additive_identity,multiplicative_identity),
c_0_21 ).
cnf(c_0_24,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_9]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD039-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 21:12:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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/benchmark/theBenchmark.p
% 0.20/0.50 # Version: 3.1.0
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50 # Starting sh5l with 300s (1) cores
% 0.20/0.50 # new_bool_3 with pid 16903 completed with status 0
% 0.20/0.50 # Result found by new_bool_3
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50 # Search class: FHUNF-FFSS00-SFFFFFNN
% 0.20/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.50 # SAT001_MinMin_p005000_rr_RG with pid 16907 completed with status 0
% 0.20/0.50 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50 # Search class: FHUNF-FFSS00-SFFFFFNN
% 0.20/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.50 # Preprocessing time : 0.001 s
% 0.20/0.50 # Presaturation interreduction done
% 0.20/0.50
% 0.20/0.50 # Proof found!
% 0.20/0.50 # SZS status Unsatisfiable
% 0.20/0.50 # SZS output start CNFRefutation
% See solution above
% 0.20/0.50 # Parsed axioms : 29
% 0.20/0.50 # Removed by relevancy pruning/SinE : 13
% 0.20/0.50 # Initial clauses : 16
% 0.20/0.50 # Removed in clause preprocessing : 0
% 0.20/0.50 # Initial clauses in saturation : 16
% 0.20/0.50 # Processed clauses : 63
% 0.20/0.50 # ...of these trivial : 0
% 0.20/0.50 # ...subsumed : 3
% 0.20/0.50 # ...remaining for further processing : 60
% 0.20/0.50 # Other redundant clauses eliminated : 0
% 0.20/0.50 # Clauses deleted for lack of memory : 0
% 0.20/0.50 # Backward-subsumed : 0
% 0.20/0.50 # Backward-rewritten : 0
% 0.20/0.50 # Generated clauses : 112
% 0.20/0.50 # ...of the previous two non-redundant : 87
% 0.20/0.50 # ...aggressively subsumed : 0
% 0.20/0.50 # Contextual simplify-reflections : 0
% 0.20/0.50 # Paramodulations : 112
% 0.20/0.50 # Factorizations : 0
% 0.20/0.50 # NegExts : 0
% 0.20/0.50 # Equation resolutions : 0
% 0.20/0.50 # Disequality decompositions : 0
% 0.20/0.50 # Total rewrite steps : 17
% 0.20/0.50 # ...of those cached : 5
% 0.20/0.50 # Propositional unsat checks : 0
% 0.20/0.50 # Propositional check models : 0
% 0.20/0.50 # Propositional check unsatisfiable : 0
% 0.20/0.50 # Propositional clauses : 0
% 0.20/0.50 # Propositional clauses after purity: 0
% 0.20/0.50 # Propositional unsat core size : 0
% 0.20/0.50 # Propositional preprocessing time : 0.000
% 0.20/0.50 # Propositional encoding time : 0.000
% 0.20/0.50 # Propositional solver time : 0.000
% 0.20/0.50 # Success case prop preproc time : 0.000
% 0.20/0.50 # Success case prop encoding time : 0.000
% 0.20/0.50 # Success case prop solver time : 0.000
% 0.20/0.50 # Current number of processed clauses : 44
% 0.20/0.50 # Positive orientable unit clauses : 18
% 0.20/0.50 # Positive unorientable unit clauses: 0
% 0.20/0.50 # Negative unit clauses : 2
% 0.20/0.50 # Non-unit-clauses : 24
% 0.20/0.50 # Current number of unprocessed clauses: 56
% 0.20/0.50 # ...number of literals in the above : 192
% 0.20/0.50 # Current number of archived formulas : 0
% 0.20/0.50 # Current number of archived clauses : 16
% 0.20/0.50 # Clause-clause subsumption calls (NU) : 112
% 0.20/0.50 # Rec. Clause-clause subsumption calls : 112
% 0.20/0.50 # Non-unit clause-clause subsumptions : 3
% 0.20/0.50 # Unit Clause-clause subsumption calls : 0
% 0.20/0.50 # Rewrite failures with RHS unbound : 0
% 0.20/0.50 # BW rewrite match attempts : 4
% 0.20/0.50 # BW rewrite match successes : 0
% 0.20/0.50 # Condensation attempts : 0
% 0.20/0.50 # Condensation successes : 0
% 0.20/0.50 # Termbank termtop insertions : 1950
% 0.20/0.50 # Search garbage collected termcells : 149
% 0.20/0.50
% 0.20/0.50 # -------------------------------------------------
% 0.20/0.50 # User time : 0.004 s
% 0.20/0.50 # System time : 0.004 s
% 0.20/0.50 # Total time : 0.007 s
% 0.20/0.50 # Maximum resident set size: 1732 pages
% 0.20/0.50
% 0.20/0.50 # -------------------------------------------------
% 0.20/0.50 # User time : 0.005 s
% 0.20/0.50 # System time : 0.006 s
% 0.20/0.50 # Total time : 0.011 s
% 0.20/0.50 # Maximum resident set size: 1724 pages
% 0.20/0.50 % E---3.1 exiting
% 0.20/0.50 % E exiting
%------------------------------------------------------------------------------