TSTP Solution File: FLD013-3 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : FLD013-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n001.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 17:30:28 EDT 2023
% Result : Unsatisfiable 0.15s 0.50s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of clauses : 43 ( 22 unt; 0 nHn; 43 RR)
% Number of literals : 87 ( 0 equ; 47 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 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/tmp/tmp.MDKtMgl0OT/E---3.1_2261.p',associativity_addition_1) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.MDKtMgl0OT/E---3.1_2261.p',existence_of_identity_addition) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/tmp/tmp.MDKtMgl0OT/E---3.1_2261.p',well_definedness_of_additive_identity) ).
cnf(commutativity_addition,axiom,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.MDKtMgl0OT/E---3.1_2261.p',commutativity_addition) ).
cnf(sum_6,negated_conjecture,
sum(additive_identity,c,d),
file('/export/starexec/sandbox2/tmp/tmp.MDKtMgl0OT/E---3.1_2261.p',sum_6) ).
cnf(c_is_defined,hypothesis,
defined(c),
file('/export/starexec/sandbox2/tmp/tmp.MDKtMgl0OT/E---3.1_2261.p',c_is_defined) ).
cnf(sum_5,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox2/tmp/tmp.MDKtMgl0OT/E---3.1_2261.p',sum_5) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/tmp/tmp.MDKtMgl0OT/E---3.1_2261.p',a_is_defined) ).
cnf(associativity_addition_2,axiom,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X1)
| ~ sum(X5,X2,X6)
| ~ sum(X4,X6,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.MDKtMgl0OT/E---3.1_2261.p',associativity_addition_2) ).
cnf(totality_of_addition,axiom,
( sum(X1,X2,add(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.MDKtMgl0OT/E---3.1_2261.p',totality_of_addition) ).
cnf(d_is_defined,hypothesis,
defined(d),
file('/export/starexec/sandbox2/tmp/tmp.MDKtMgl0OT/E---3.1_2261.p',d_is_defined) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox2/tmp/tmp.MDKtMgl0OT/E---3.1_2261.p',b_is_defined) ).
cnf(not_sum_7,negated_conjecture,
~ sum(a,c,add(d,b)),
file('/export/starexec/sandbox2/tmp/tmp.MDKtMgl0OT/E---3.1_2261.p',not_sum_7) ).
cnf(well_definedness_of_addition,axiom,
( defined(add(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.MDKtMgl0OT/E---3.1_2261.p',well_definedness_of_addition) ).
cnf(c_0_14,axiom,
( sum(X1,X2,X3)
| ~ sum(X1,X4,X5)
| ~ sum(X4,X6,X2)
| ~ sum(X5,X6,X3) ),
associativity_addition_1 ).
cnf(c_0_15,axiom,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
existence_of_identity_addition ).
cnf(c_0_16,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_17,axiom,
defined(additive_identity),
well_definedness_of_additive_identity ).
cnf(c_0_18,axiom,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
commutativity_addition ).
cnf(c_0_19,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_16,c_0_15]),c_0_17])]) ).
cnf(c_0_20,negated_conjecture,
sum(additive_identity,c,d),
sum_6 ).
cnf(c_0_21,hypothesis,
defined(c),
c_is_defined ).
cnf(c_0_22,negated_conjecture,
sum(additive_identity,a,b),
sum_5 ).
cnf(c_0_23,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_24,plain,
( sum(X1,additive_identity,X1)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_25,negated_conjecture,
sum(additive_identity,d,c),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_26,axiom,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X1)
| ~ sum(X5,X2,X6)
| ~ sum(X4,X6,X3) ),
associativity_addition_2 ).
cnf(c_0_27,negated_conjecture,
sum(additive_identity,b,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_22]),c_0_23])]) ).
cnf(c_0_28,plain,
( sum(X1,X2,X3)
| ~ defined(X3)
| ~ sum(X4,additive_identity,X2)
| ~ sum(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
sum(d,additive_identity,c),
inference(spm,[status(thm)],[c_0_18,c_0_25]) ).
cnf(c_0_30,axiom,
( sum(X1,X2,add(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
totality_of_addition ).
cnf(c_0_31,plain,
( sum(X1,X2,X3)
| ~ defined(X2)
| ~ sum(X4,additive_identity,X1)
| ~ sum(X4,X2,X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_15]) ).
cnf(c_0_32,negated_conjecture,
sum(b,additive_identity,a),
inference(spm,[status(thm)],[c_0_18,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( sum(X1,c,X2)
| ~ defined(X2)
| ~ sum(X1,d,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
( sum(X1,X2,add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_30]) ).
cnf(c_0_35,hypothesis,
defined(d),
d_is_defined ).
cnf(c_0_36,negated_conjecture,
( sum(a,X1,X2)
| ~ defined(X1)
| ~ sum(b,X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
( sum(X1,c,add(d,X1))
| ~ defined(add(d,X1))
| ~ defined(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_38,hypothesis,
defined(b),
b_is_defined ).
cnf(c_0_39,negated_conjecture,
~ sum(a,c,add(d,b)),
not_sum_7 ).
cnf(c_0_40,negated_conjecture,
~ defined(add(d,b)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_21]),c_0_38])]),c_0_39]) ).
cnf(c_0_41,axiom,
( defined(add(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
well_definedness_of_addition ).
cnf(c_0_42,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_38]),c_0_35])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : FLD013-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n001.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Oct 2 23:57:37 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.40 Running first-order model finding
% 0.15/0.40 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.MDKtMgl0OT/E---3.1_2261.p
% 0.15/0.50 # Version: 3.1pre001
% 0.15/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.50 # Starting sh5l with 300s (1) cores
% 0.15/0.50 # new_bool_1 with pid 2341 completed with status 0
% 0.15/0.50 # Result found by new_bool_1
% 0.15/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.50 # Search class: FHUNF-FFSM22-SFFFFFNN
% 0.15/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.50 # SAT001_MinMin_p005000_rr_RG with pid 2345 completed with status 0
% 0.15/0.50 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.15/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.50 # Search class: FHUNF-FFSM22-SFFFFFNN
% 0.15/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.50 # Preprocessing time : 0.001 s
% 0.15/0.50 # Presaturation interreduction done
% 0.15/0.50
% 0.15/0.50 # Proof found!
% 0.15/0.50 # SZS status Unsatisfiable
% 0.15/0.50 # SZS output start CNFRefutation
% See solution above
% 0.15/0.50 # Parsed axioms : 33
% 0.15/0.50 # Removed by relevancy pruning/SinE : 19
% 0.15/0.50 # Initial clauses : 14
% 0.15/0.50 # Removed in clause preprocessing : 0
% 0.15/0.50 # Initial clauses in saturation : 14
% 0.15/0.50 # Processed clauses : 1504
% 0.15/0.50 # ...of these trivial : 23
% 0.15/0.50 # ...subsumed : 928
% 0.15/0.50 # ...remaining for further processing : 553
% 0.15/0.50 # Other redundant clauses eliminated : 0
% 0.15/0.50 # Clauses deleted for lack of memory : 0
% 0.15/0.50 # Backward-subsumed : 11
% 0.15/0.50 # Backward-rewritten : 0
% 0.15/0.50 # Generated clauses : 6085
% 0.15/0.50 # ...of the previous two non-redundant : 5338
% 0.15/0.50 # ...aggressively subsumed : 0
% 0.15/0.50 # Contextual simplify-reflections : 0
% 0.15/0.50 # Paramodulations : 6085
% 0.15/0.50 # Factorizations : 0
% 0.15/0.50 # NegExts : 0
% 0.15/0.50 # Equation resolutions : 0
% 0.15/0.50 # Total rewrite steps : 3363
% 0.15/0.50 # Propositional unsat checks : 0
% 0.15/0.50 # Propositional check models : 0
% 0.15/0.50 # Propositional check unsatisfiable : 0
% 0.15/0.50 # Propositional clauses : 0
% 0.15/0.50 # Propositional clauses after purity: 0
% 0.15/0.50 # Propositional unsat core size : 0
% 0.15/0.50 # Propositional preprocessing time : 0.000
% 0.15/0.50 # Propositional encoding time : 0.000
% 0.15/0.50 # Propositional solver time : 0.000
% 0.15/0.50 # Success case prop preproc time : 0.000
% 0.15/0.50 # Success case prop encoding time : 0.000
% 0.15/0.50 # Success case prop solver time : 0.000
% 0.15/0.50 # Current number of processed clauses : 528
% 0.15/0.50 # Positive orientable unit clauses : 72
% 0.15/0.50 # Positive unorientable unit clauses: 0
% 0.15/0.50 # Negative unit clauses : 2
% 0.15/0.50 # Non-unit-clauses : 454
% 0.15/0.50 # Current number of unprocessed clauses: 3839
% 0.15/0.50 # ...number of literals in the above : 12732
% 0.15/0.50 # Current number of archived formulas : 0
% 0.15/0.50 # Current number of archived clauses : 25
% 0.15/0.50 # Clause-clause subsumption calls (NU) : 16538
% 0.15/0.50 # Rec. Clause-clause subsumption calls : 15545
% 0.15/0.50 # Non-unit clause-clause subsumptions : 939
% 0.15/0.50 # Unit Clause-clause subsumption calls : 0
% 0.15/0.50 # Rewrite failures with RHS unbound : 0
% 0.15/0.50 # BW rewrite match attempts : 35
% 0.15/0.50 # BW rewrite match successes : 0
% 0.15/0.50 # Condensation attempts : 0
% 0.15/0.50 # Condensation successes : 0
% 0.15/0.50 # Termbank termtop insertions : 72319
% 0.15/0.50
% 0.15/0.50 # -------------------------------------------------
% 0.15/0.50 # User time : 0.085 s
% 0.15/0.50 # System time : 0.006 s
% 0.15/0.50 # Total time : 0.091 s
% 0.15/0.50 # Maximum resident set size: 1628 pages
% 0.15/0.50
% 0.15/0.50 # -------------------------------------------------
% 0.15/0.50 # User time : 0.086 s
% 0.15/0.50 # System time : 0.008 s
% 0.15/0.50 # Total time : 0.094 s
% 0.15/0.50 # Maximum resident set size: 1700 pages
% 0.15/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------