TSTP Solution File: GRP609-1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GRP609-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 20:58:07 EDT 2024
% Result : Unsatisfiable 0.37s 0.56s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of clauses : 36 ( 36 unt; 0 nHn; 6 RR)
% Number of literals : 36 ( 35 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
inverse(double_divide(inverse(double_divide(inverse(double_divide(X1,X2)),X3)),double_divide(X1,X3))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(multiply,axiom,
multiply(X1,X2) = inverse(double_divide(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_0_3,axiom,
inverse(double_divide(inverse(double_divide(inverse(double_divide(X1,X2)),X3)),double_divide(X1,X3))) = X2,
single_axiom ).
cnf(c_0_4,plain,
inverse(double_divide(X1,double_divide(inverse(double_divide(X2,X1)),double_divide(X2,X3)))) = X3,
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_5,plain,
inverse(double_divide(X1,double_divide(X2,double_divide(inverse(double_divide(X3,inverse(double_divide(X2,X4)))),double_divide(X3,X1))))) = X4,
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,plain,
inverse(double_divide(double_divide(X1,X2),double_divide(X3,double_divide(inverse(double_divide(inverse(double_divide(X1,X3)),X2)),X4)))) = X4,
inference(spm,[status(thm)],[c_0_4,c_0_3]) ).
cnf(c_0_7,plain,
inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(inverse(double_divide(inverse(double_divide(X3,X1)),X4)),X2))) = double_divide(X3,X4),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_8,plain,
double_divide(inverse(double_divide(X1,X2)),double_divide(X1,inverse(double_divide(X2,X3)))) = X3,
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,plain,
double_divide(X1,inverse(double_divide(X2,double_divide(inverse(double_divide(X1,X2)),X3)))) = X3,
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_10,plain,
inverse(double_divide(inverse(X1),double_divide(X2,double_divide(X2,inverse(double_divide(X3,X1)))))) = X3,
inference(spm,[status(thm)],[c_0_3,c_0_8]) ).
cnf(c_0_11,plain,
double_divide(inverse(double_divide(X1,X2)),inverse(double_divide(X3,X4))) = inverse(double_divide(double_divide(X1,X3),double_divide(X2,X4))),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_12,plain,
inverse(double_divide(double_divide(X1,X2),double_divide(inverse(X3),X3))) = double_divide(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_13,plain,
inverse(double_divide(X1,double_divide(inverse(X2),X2))) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_8]) ).
cnf(c_0_14,plain,
inverse(double_divide(inverse(double_divide(inverse(X1),X2)),X1)) = X2,
inference(spm,[status(thm)],[c_0_3,c_0_13]) ).
cnf(c_0_15,plain,
inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X3,double_divide(X3,X4)))) = inverse(double_divide(inverse(double_divide(X1,X4)),X2)),
inference(spm,[status(thm)],[c_0_10,c_0_3]) ).
cnf(c_0_16,plain,
double_divide(X1,double_divide(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_3]) ).
cnf(c_0_17,plain,
inverse(double_divide(inverse(X1),X2)) = double_divide(inverse(X2),X1),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_18,plain,
double_divide(double_divide(inverse(X1),X1),X2) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_17]),c_0_17]) ).
cnf(c_0_19,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(fof_simplification,[status(thm)],[prove_these_axioms_1]) ).
cnf(c_0_20,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_18]),c_0_13]),c_0_16]) ).
cnf(c_0_21,plain,
inverse(double_divide(double_divide(inverse(double_divide(X1,X2)),double_divide(X1,X3)),double_divide(X3,double_divide(X2,X4)))) = X4,
inference(spm,[status(thm)],[c_0_4,c_0_4]) ).
cnf(c_0_22,plain,
double_divide(double_divide(inverse(X1),X2),X2) = inverse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_16]),c_0_17]) ).
cnf(c_0_23,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
c_0_19 ).
cnf(c_0_24,axiom,
multiply(X1,X2) = inverse(double_divide(X2,X1)),
multiply ).
cnf(c_0_25,plain,
double_divide(inverse(X1),inverse(X2)) = inverse(double_divide(X2,X1)),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_26,plain,
inverse(double_divide(inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X3))))),X3)) = X2,
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_27,plain,
double_divide(double_divide(X1,X2),X1) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_20]) ).
cnf(c_0_28,negated_conjecture,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_24]) ).
cnf(c_0_29,plain,
inverse(double_divide(X1,inverse(X2))) = double_divide(X2,inverse(X1)),
inference(spm,[status(thm)],[c_0_25,c_0_20]) ).
cnf(c_0_30,plain,
double_divide(inverse(X1),double_divide(X2,inverse(double_divide(X3,double_divide(X2,X1))))) = X3,
inference(rw,[status(thm)],[c_0_26,c_0_17]) ).
cnf(c_0_31,plain,
double_divide(double_divide(X1,inverse(X1)),X2) = inverse(X2),
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
cnf(c_0_32,plain,
double_divide(X1,X2) = double_divide(X2,X1),
inference(spm,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_33,negated_conjecture,
double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29]),c_0_29]) ).
cnf(c_0_34,plain,
double_divide(X1,inverse(X1)) = double_divide(X2,inverse(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_20]),c_0_16]),c_0_32]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_33,c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.15 % Problem : GRP609-1 : TPTP v8.2.0. Released v2.6.0.
% 0.15/0.16 % Command : run_E %s %d THM
% 0.15/0.38 % Computer : n013.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Sun May 19 06:12:38 EDT 2024
% 0.15/0.38 % CPUTime :
% 0.23/0.53 Running first-order model finding
% 0.23/0.53 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/benchmark/theBenchmark.p
% 0.37/0.56 # Version: 3.1.0
% 0.37/0.56 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.37/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.56 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.37/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.37/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.37/0.56 # Starting sh5l with 300s (1) cores
% 0.37/0.56 # new_bool_1 with pid 23450 completed with status 0
% 0.37/0.56 # Result found by new_bool_1
% 0.37/0.56 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.37/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.56 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.37/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.37/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.37/0.56 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.37/0.56 # Search class: FUUPS-FFSF21-DFFFFFNN
% 0.37/0.56 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.37/0.56 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.37/0.56 # SAT001_MinMin_p005000_rr_RG with pid 23455 completed with status 0
% 0.37/0.56 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.37/0.56 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.37/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.56 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.37/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.37/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.37/0.56 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.37/0.56 # Search class: FUUPS-FFSF21-DFFFFFNN
% 0.37/0.56 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.37/0.56 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.37/0.56 # Preprocessing time : 0.001 s
% 0.37/0.56 # Presaturation interreduction done
% 0.37/0.56
% 0.37/0.56 # Proof found!
% 0.37/0.56 # SZS status Unsatisfiable
% 0.37/0.56 # SZS output start CNFRefutation
% See solution above
% 0.37/0.56 # Parsed axioms : 3
% 0.37/0.56 # Removed by relevancy pruning/SinE : 0
% 0.37/0.56 # Initial clauses : 3
% 0.37/0.56 # Removed in clause preprocessing : 0
% 0.37/0.56 # Initial clauses in saturation : 3
% 0.37/0.56 # Processed clauses : 66
% 0.37/0.56 # ...of these trivial : 22
% 0.37/0.56 # ...subsumed : 3
% 0.37/0.56 # ...remaining for further processing : 41
% 0.37/0.56 # Other redundant clauses eliminated : 0
% 0.37/0.56 # Clauses deleted for lack of memory : 0
% 0.37/0.56 # Backward-subsumed : 0
% 0.37/0.56 # Backward-rewritten : 17
% 0.37/0.56 # Generated clauses : 1291
% 0.37/0.56 # ...of the previous two non-redundant : 1062
% 0.37/0.56 # ...aggressively subsumed : 0
% 0.37/0.56 # Contextual simplify-reflections : 0
% 0.37/0.56 # Paramodulations : 1290
% 0.37/0.56 # Factorizations : 0
% 0.37/0.56 # NegExts : 0
% 0.37/0.56 # Equation resolutions : 0
% 0.37/0.56 # Disequality decompositions : 0
% 0.37/0.56 # Total rewrite steps : 939
% 0.37/0.56 # ...of those cached : 570
% 0.37/0.56 # Propositional unsat checks : 0
% 0.37/0.56 # Propositional check models : 0
% 0.37/0.56 # Propositional check unsatisfiable : 0
% 0.37/0.56 # Propositional clauses : 0
% 0.37/0.56 # Propositional clauses after purity: 0
% 0.37/0.56 # Propositional unsat core size : 0
% 0.37/0.56 # Propositional preprocessing time : 0.000
% 0.37/0.56 # Propositional encoding time : 0.000
% 0.37/0.56 # Propositional solver time : 0.000
% 0.37/0.56 # Success case prop preproc time : 0.000
% 0.37/0.56 # Success case prop encoding time : 0.000
% 0.37/0.56 # Success case prop solver time : 0.000
% 0.37/0.56 # Current number of processed clauses : 20
% 0.37/0.56 # Positive orientable unit clauses : 17
% 0.37/0.56 # Positive unorientable unit clauses: 3
% 0.37/0.56 # Negative unit clauses : 0
% 0.37/0.56 # Non-unit-clauses : 0
% 0.37/0.56 # Current number of unprocessed clauses: 973
% 0.37/0.56 # ...number of literals in the above : 973
% 0.37/0.56 # Current number of archived formulas : 0
% 0.37/0.56 # Current number of archived clauses : 21
% 0.37/0.56 # Clause-clause subsumption calls (NU) : 0
% 0.37/0.56 # Rec. Clause-clause subsumption calls : 0
% 0.37/0.56 # Non-unit clause-clause subsumptions : 0
% 0.37/0.56 # Unit Clause-clause subsumption calls : 35
% 0.37/0.56 # Rewrite failures with RHS unbound : 0
% 0.37/0.56 # BW rewrite match attempts : 175
% 0.37/0.56 # BW rewrite match successes : 91
% 0.37/0.56 # Condensation attempts : 0
% 0.37/0.56 # Condensation successes : 0
% 0.37/0.56 # Termbank termtop insertions : 13853
% 0.37/0.56 # Search garbage collected termcells : 2
% 0.37/0.56
% 0.37/0.56 # -------------------------------------------------
% 0.37/0.56 # User time : 0.019 s
% 0.37/0.56 # System time : 0.001 s
% 0.37/0.56 # Total time : 0.020 s
% 0.37/0.56 # Maximum resident set size: 1624 pages
% 0.37/0.56
% 0.37/0.56 # -------------------------------------------------
% 0.37/0.56 # User time : 0.020 s
% 0.37/0.56 # System time : 0.003 s
% 0.37/0.56 # Total time : 0.024 s
% 0.37/0.56 # Maximum resident set size: 1684 pages
% 0.37/0.56 % E---3.1 exiting
%------------------------------------------------------------------------------