TSTP Solution File: FLD013-4 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : FLD013-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 07:40:23 EDT 2024
% Result : Unsatisfiable 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 17 unt; 0 nHn; 30 RR)
% Number of literals : 53 ( 0 equ; 27 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 : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(commutativity_addition,axiom,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.lpu7qwJqOT/E---3.1_2331.p',commutativity_addition) ).
cnf(associativity_addition_1,axiom,
( sum(X1,X2,X3)
| ~ sum(X1,X4,X5)
| ~ sum(X4,X6,X2)
| ~ sum(X5,X6,X3) ),
file('/export/starexec/sandbox/tmp/tmp.lpu7qwJqOT/E---3.1_2331.p',associativity_addition_1) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
file('/export/starexec/sandbox/tmp/tmp.lpu7qwJqOT/E---3.1_2331.p',existence_of_identity_addition) ).
cnf(sum_8,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox/tmp/tmp.lpu7qwJqOT/E---3.1_2331.p',sum_8) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/tmp/tmp.lpu7qwJqOT/E---3.1_2331.p',well_definedness_of_additive_identity) ).
cnf(not_sum_9,negated_conjecture,
~ sum(d,b,u),
file('/export/starexec/sandbox/tmp/tmp.lpu7qwJqOT/E---3.1_2331.p',not_sum_9) ).
cnf(sum_6,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox/tmp/tmp.lpu7qwJqOT/E---3.1_2331.p',sum_6) ).
cnf(sum_7,negated_conjecture,
sum(additive_identity,c,d),
file('/export/starexec/sandbox/tmp/tmp.lpu7qwJqOT/E---3.1_2331.p',sum_7) ).
cnf(c_is_defined,hypothesis,
defined(c),
file('/export/starexec/sandbox/tmp/tmp.lpu7qwJqOT/E---3.1_2331.p',c_is_defined) ).
cnf(c_0_9,plain,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_addition]) ).
cnf(c_0_10,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_11,plain,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_addition]) ).
cnf(c_0_12,plain,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
c_0_9 ).
cnf(c_0_13,negated_conjecture,
sum(a,c,u),
sum_8 ).
cnf(c_0_14,plain,
( sum(X1,X2,X3)
| ~ sum(X1,X4,X5)
| ~ sum(X4,X6,X2)
| ~ sum(X5,X6,X3) ),
c_0_10 ).
cnf(c_0_15,plain,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
c_0_11 ).
cnf(c_0_16,negated_conjecture,
sum(c,a,u),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( sum(X1,X2,X3)
| ~ defined(X3)
| ~ sum(X1,X4,additive_identity)
| ~ sum(X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,axiom,
defined(additive_identity),
well_definedness_of_additive_identity ).
cnf(c_0_19,negated_conjecture,
~ sum(d,b,u),
inference(fof_simplification,[status(thm)],[not_sum_9]) ).
cnf(c_0_20,negated_conjecture,
( sum(X1,X2,u)
| ~ sum(X3,a,X2)
| ~ sum(X1,X3,c) ),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
sum(additive_identity,a,b),
sum_6 ).
cnf(c_0_22,plain,
( sum(additive_identity,X1,X2)
| ~ defined(X2)
| ~ sum(additive_identity,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_18])]) ).
cnf(c_0_23,negated_conjecture,
sum(additive_identity,c,d),
sum_7 ).
cnf(c_0_24,hypothesis,
defined(c),
c_is_defined ).
cnf(c_0_25,negated_conjecture,
~ sum(d,b,u),
c_0_19 ).
cnf(c_0_26,negated_conjecture,
( sum(X1,b,u)
| ~ sum(X1,additive_identity,c) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,negated_conjecture,
sum(additive_identity,d,c),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_28,negated_conjecture,
~ sum(d,additive_identity,c),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_27]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD013-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 13:28:25 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.49 Running first-order model finding
% 0.20/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.lpu7qwJqOT/E---3.1_2331.p
% 0.20/0.51 # Version: 3.1.0
% 0.20/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51 # Starting sh5l with 300s (1) cores
% 0.20/0.51 # new_bool_1 with pid 2441 completed with status 0
% 0.20/0.51 # Result found by new_bool_1
% 0.20/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51 # Search class: FHUNF-FFSM00-SFFFFFNN
% 0.20/0.51 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.51 # SAT001_MinMin_p005000_rr_RG with pid 2447 completed with status 0
% 0.20/0.51 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51 # Search class: FHUNF-FFSM00-SFFFFFNN
% 0.20/0.51 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.51 # Preprocessing time : 0.001 s
% 0.20/0.51 # Presaturation interreduction done
% 0.20/0.51
% 0.20/0.51 # Proof found!
% 0.20/0.51 # SZS status Unsatisfiable
% 0.20/0.51 # SZS output start CNFRefutation
% See solution above
% 0.20/0.51 # Parsed axioms : 35
% 0.20/0.51 # Removed by relevancy pruning/SinE : 21
% 0.20/0.51 # Initial clauses : 14
% 0.20/0.51 # Removed in clause preprocessing : 0
% 0.20/0.51 # Initial clauses in saturation : 14
% 0.20/0.51 # Processed clauses : 78
% 0.20/0.51 # ...of these trivial : 1
% 0.20/0.51 # ...subsumed : 2
% 0.20/0.51 # ...remaining for further processing : 75
% 0.20/0.51 # Other redundant clauses eliminated : 0
% 0.20/0.51 # Clauses deleted for lack of memory : 0
% 0.20/0.51 # Backward-subsumed : 0
% 0.20/0.51 # Backward-rewritten : 0
% 0.20/0.51 # Generated clauses : 153
% 0.20/0.51 # ...of the previous two non-redundant : 125
% 0.20/0.51 # ...aggressively subsumed : 0
% 0.20/0.51 # Contextual simplify-reflections : 0
% 0.20/0.51 # Paramodulations : 153
% 0.20/0.51 # Factorizations : 0
% 0.20/0.51 # NegExts : 0
% 0.20/0.51 # Equation resolutions : 0
% 0.20/0.51 # Disequality decompositions : 0
% 0.20/0.51 # Total rewrite steps : 59
% 0.20/0.51 # ...of those cached : 41
% 0.20/0.51 # Propositional unsat checks : 0
% 0.20/0.51 # Propositional check models : 0
% 0.20/0.51 # Propositional check unsatisfiable : 0
% 0.20/0.51 # Propositional clauses : 0
% 0.20/0.51 # Propositional clauses after purity: 0
% 0.20/0.51 # Propositional unsat core size : 0
% 0.20/0.51 # Propositional preprocessing time : 0.000
% 0.20/0.51 # Propositional encoding time : 0.000
% 0.20/0.51 # Propositional solver time : 0.000
% 0.20/0.51 # Success case prop preproc time : 0.000
% 0.20/0.51 # Success case prop encoding time : 0.000
% 0.20/0.51 # Success case prop solver time : 0.000
% 0.20/0.51 # Current number of processed clauses : 61
% 0.20/0.51 # Positive orientable unit clauses : 22
% 0.20/0.51 # Positive unorientable unit clauses: 0
% 0.20/0.51 # Negative unit clauses : 2
% 0.20/0.51 # Non-unit-clauses : 37
% 0.20/0.51 # Current number of unprocessed clauses: 75
% 0.20/0.51 # ...number of literals in the above : 241
% 0.20/0.51 # Current number of archived formulas : 0
% 0.20/0.51 # Current number of archived clauses : 14
% 0.20/0.51 # Clause-clause subsumption calls (NU) : 149
% 0.20/0.51 # Rec. Clause-clause subsumption calls : 149
% 0.20/0.51 # Non-unit clause-clause subsumptions : 2
% 0.20/0.51 # Unit Clause-clause subsumption calls : 5
% 0.20/0.51 # Rewrite failures with RHS unbound : 0
% 0.20/0.51 # BW rewrite match attempts : 2
% 0.20/0.51 # BW rewrite match successes : 0
% 0.20/0.51 # Condensation attempts : 0
% 0.20/0.51 # Condensation successes : 0
% 0.20/0.51 # Termbank termtop insertions : 2269
% 0.20/0.51 # Search garbage collected termcells : 156
% 0.20/0.51
% 0.20/0.51 # -------------------------------------------------
% 0.20/0.51 # User time : 0.004 s
% 0.20/0.51 # System time : 0.004 s
% 0.20/0.51 # Total time : 0.008 s
% 0.20/0.51 # Maximum resident set size: 1740 pages
% 0.20/0.51
% 0.20/0.51 # -------------------------------------------------
% 0.20/0.51 # User time : 0.007 s
% 0.20/0.51 # System time : 0.006 s
% 0.20/0.51 # Total time : 0.013 s
% 0.20/0.51 # Maximum resident set size: 1720 pages
% 0.20/0.51 % E---3.1 exiting
%------------------------------------------------------------------------------