TSTP Solution File: ALG377-1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ALG377-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 18:13:12 EDT 2024
% Result : Unsatisfiable 0.74s 0.60s
% Output : CNFRefutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 7 RR)
% Number of literals : 15 ( 2 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_real__add__left__mono_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__add__left__mono_0) ).
cnf(cls_CHAINED_0,axiom,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_add__Suc__right_0,axiom,
c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__Suc__right_0) ).
cnf(c_0_4,negated_conjecture,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_5,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__add__left__mono_0]) ).
cnf(c_0_6,axiom,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_CHAINED_0 ).
cnf(c_0_7,axiom,
c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),
cls_add__Suc__right_0 ).
cnf(c_0_8,negated_conjecture,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
c_0_4 ).
cnf(c_0_9,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
c_0_5 ).
cnf(c_0_10,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_HOL_Oplus__class_Oplus(v_N1____,c_Suc(v_N2____),tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_7]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG377-1 : TPTP v8.2.0. Released v4.1.0.
% 0.13/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat May 18 22:51:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.50 Running first-order model finding
% 0.20/0.50 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/benchmark/theBenchmark.p
% 0.74/0.60 # Version: 3.1.0
% 0.74/0.60 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.74/0.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.74/0.60 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.74/0.60 # Starting new_bool_3 with 300s (1) cores
% 0.74/0.60 # Starting new_bool_1 with 300s (1) cores
% 0.74/0.60 # Starting sh5l with 300s (1) cores
% 0.74/0.60 # new_bool_3 with pid 7289 completed with status 0
% 0.74/0.60 # Result found by new_bool_3
% 0.74/0.60 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.74/0.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.74/0.60 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.74/0.60 # Starting new_bool_3 with 300s (1) cores
% 0.74/0.60 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.74/0.60 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.74/0.60 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.74/0.60 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.74/0.60 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 7292 completed with status 0
% 0.74/0.60 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.74/0.60 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.74/0.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.74/0.60 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.74/0.60 # Starting new_bool_3 with 300s (1) cores
% 0.74/0.60 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.74/0.60 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.74/0.60 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.74/0.60 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.74/0.60 # Preprocessing time : 0.004 s
% 0.74/0.60 # Presaturation interreduction done
% 0.74/0.60
% 0.74/0.60 # Proof found!
% 0.74/0.60 # SZS status Unsatisfiable
% 0.74/0.60 # SZS output start CNFRefutation
% See solution above
% 0.74/0.60 # Parsed axioms : 559
% 0.74/0.60 # Removed by relevancy pruning/SinE : 353
% 0.74/0.60 # Initial clauses : 206
% 0.74/0.60 # Removed in clause preprocessing : 0
% 0.74/0.60 # Initial clauses in saturation : 206
% 0.74/0.60 # Processed clauses : 1018
% 0.74/0.60 # ...of these trivial : 21
% 0.74/0.60 # ...subsumed : 532
% 0.74/0.60 # ...remaining for further processing : 465
% 0.74/0.60 # Other redundant clauses eliminated : 3
% 0.74/0.60 # Clauses deleted for lack of memory : 0
% 0.74/0.60 # Backward-subsumed : 2
% 0.74/0.60 # Backward-rewritten : 4
% 0.74/0.60 # Generated clauses : 2035
% 0.74/0.60 # ...of the previous two non-redundant : 1773
% 0.74/0.60 # ...aggressively subsumed : 0
% 0.74/0.60 # Contextual simplify-reflections : 0
% 0.74/0.60 # Paramodulations : 2023
% 0.74/0.60 # Factorizations : 4
% 0.74/0.60 # NegExts : 0
% 0.74/0.60 # Equation resolutions : 8
% 0.74/0.60 # Disequality decompositions : 0
% 0.74/0.60 # Total rewrite steps : 1261
% 0.74/0.60 # ...of those cached : 1013
% 0.74/0.60 # Propositional unsat checks : 0
% 0.74/0.60 # Propositional check models : 0
% 0.74/0.60 # Propositional check unsatisfiable : 0
% 0.74/0.60 # Propositional clauses : 0
% 0.74/0.60 # Propositional clauses after purity: 0
% 0.74/0.60 # Propositional unsat core size : 0
% 0.74/0.60 # Propositional preprocessing time : 0.000
% 0.74/0.60 # Propositional encoding time : 0.000
% 0.74/0.60 # Propositional solver time : 0.000
% 0.74/0.60 # Success case prop preproc time : 0.000
% 0.74/0.60 # Success case prop encoding time : 0.000
% 0.74/0.60 # Success case prop solver time : 0.000
% 0.74/0.60 # Current number of processed clauses : 294
% 0.74/0.60 # Positive orientable unit clauses : 56
% 0.74/0.60 # Positive unorientable unit clauses: 3
% 0.74/0.60 # Negative unit clauses : 95
% 0.74/0.60 # Non-unit-clauses : 140
% 0.74/0.60 # Current number of unprocessed clauses: 1113
% 0.74/0.60 # ...number of literals in the above : 2329
% 0.74/0.60 # Current number of archived formulas : 0
% 0.74/0.60 # Current number of archived clauses : 171
% 0.74/0.60 # Clause-clause subsumption calls (NU) : 2750
% 0.74/0.60 # Rec. Clause-clause subsumption calls : 1715
% 0.74/0.60 # Non-unit clause-clause subsumptions : 110
% 0.74/0.60 # Unit Clause-clause subsumption calls : 386
% 0.74/0.60 # Rewrite failures with RHS unbound : 0
% 0.74/0.60 # BW rewrite match attempts : 108
% 0.74/0.60 # BW rewrite match successes : 45
% 0.74/0.60 # Condensation attempts : 0
% 0.74/0.60 # Condensation successes : 0
% 0.74/0.60 # Termbank termtop insertions : 38033
% 0.74/0.60 # Search garbage collected termcells : 1527
% 0.74/0.60
% 0.74/0.60 # -------------------------------------------------
% 0.74/0.60 # User time : 0.067 s
% 0.74/0.60 # System time : 0.005 s
% 0.74/0.60 # Total time : 0.072 s
% 0.74/0.60 # Maximum resident set size: 2352 pages
% 0.74/0.60
% 0.74/0.60 # -------------------------------------------------
% 0.74/0.60 # User time : 0.081 s
% 0.74/0.60 # System time : 0.010 s
% 0.74/0.60 # Total time : 0.090 s
% 0.74/0.60 # Maximum resident set size: 2064 pages
% 0.74/0.60 % E---3.1 exiting
%------------------------------------------------------------------------------