TSTP Solution File: GRP616-1 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : GRP616-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 Jun 24 06:47:46 EDT 2024
% Result : Unsatisfiable 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 5 RR)
% Number of literals : 23 ( 22 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 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 : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(inverse(double_divide(inverse(double_divide(X1,inverse(X2))),X3)),double_divide(X1,X3)) = X2,
file('/export/starexec/sandbox/tmp/tmp.zqZAeemDVe/E---3.1_7280.p',single_axiom) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/tmp/tmp.zqZAeemDVe/E---3.1_7280.p',prove_these_axioms_4) ).
cnf(multiply,axiom,
multiply(X1,X2) = inverse(double_divide(X2,X1)),
file('/export/starexec/sandbox/tmp/tmp.zqZAeemDVe/E---3.1_7280.p',multiply) ).
cnf(c_0_3,axiom,
double_divide(inverse(double_divide(inverse(double_divide(X1,inverse(X2))),X3)),double_divide(X1,X3)) = X2,
single_axiom ).
cnf(c_0_4,plain,
double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(X1,inverse(X2))),X3)),inverse(X4))),double_divide(X1,X3))),X2) = X4,
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_5,plain,
double_divide(inverse(double_divide(inverse(X1),inverse(X2))),X1) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_4]),c_0_3]) ).
cnf(c_0_6,plain,
double_divide(inverse(X1),double_divide(inverse(X2),X2)) = X1,
inference(spm,[status(thm)],[c_0_3,c_0_5]) ).
cnf(c_0_7,plain,
double_divide(inverse(X1),double_divide(inverse(double_divide(X2,inverse(X1))),double_divide(X2,inverse(X3)))) = X3,
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_8,plain,
double_divide(inverse(double_divide(inverse(X1),X1)),inverse(X2)) = X2,
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,plain,
double_divide(inverse(X1),double_divide(inverse(X1),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_8]) ).
cnf(c_0_10,plain,
double_divide(inverse(double_divide(inverse(X1),X1)),X2) = inverse(X2),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_11,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_12,plain,
double_divide(X1,double_divide(inverse(X2),X2)) = inverse(X1),
inference(spm,[status(thm)],[c_0_6,c_0_11]) ).
cnf(c_0_13,plain,
double_divide(inverse(X1),double_divide(X2,inverse(X1))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_12]),c_0_11]),c_0_11]) ).
cnf(c_0_14,negated_conjecture,
multiply(a,b) != multiply(b,a),
inference(fof_simplification,[status(thm)],[prove_these_axioms_4]) ).
cnf(c_0_15,plain,
inverse(double_divide(X1,inverse(X2))) = double_divide(inverse(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_5]),c_0_11]) ).
cnf(c_0_16,negated_conjecture,
multiply(a,b) != multiply(b,a),
c_0_14 ).
cnf(c_0_17,axiom,
multiply(X1,X2) = inverse(double_divide(X2,X1)),
multiply ).
cnf(c_0_18,plain,
double_divide(double_divide(X1,X2),X1) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_15]),c_0_11]) ).
cnf(c_0_19,plain,
double_divide(X1,double_divide(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_20,negated_conjecture,
inverse(double_divide(b,a)) != inverse(double_divide(a,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17]) ).
cnf(c_0_21,plain,
double_divide(X1,X2) = double_divide(X2,X1),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP616-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 11:57:23 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.zqZAeemDVe/E---3.1_7280.p
% 0.20/0.49 # Version: 3.2.0
% 0.20/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49 # Starting sh5l with 300s (1) cores
% 0.20/0.49 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 7358 completed with status 0
% 0.20/0.49 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.20/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.49 # No SInE strategy applied
% 0.20/0.49 # Search class: FUUPF-FFSF21-DFFFFFNN
% 0.20/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.20/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.20/0.49 # Starting new_bool_3 with 136s (1) cores
% 0.20/0.49 # Starting new_bool_1 with 136s (1) cores
% 0.20/0.49 # Starting sh5l with 136s (1) cores
% 0.20/0.49 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 7362 completed with status 0
% 0.20/0.49 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.49 # No SInE strategy applied
% 0.20/0.49 # Search class: FUUPF-FFSF21-DFFFFFNN
% 0.20/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.20/0.49 # Preprocessing time : 0.001 s
% 0.20/0.49 # Presaturation interreduction done
% 0.20/0.49
% 0.20/0.49 # Proof found!
% 0.20/0.49 # SZS status Unsatisfiable
% 0.20/0.49 # SZS output start CNFRefutation
% See solution above
% 0.20/0.49 # Parsed axioms : 3
% 0.20/0.49 # Removed by relevancy pruning/SinE : 0
% 0.20/0.49 # Initial clauses : 3
% 0.20/0.49 # Removed in clause preprocessing : 1
% 0.20/0.49 # Initial clauses in saturation : 2
% 0.20/0.49 # Processed clauses : 33
% 0.20/0.49 # ...of these trivial : 9
% 0.20/0.49 # ...subsumed : 0
% 0.20/0.49 # ...remaining for further processing : 24
% 0.20/0.49 # Other redundant clauses eliminated : 0
% 0.20/0.49 # Clauses deleted for lack of memory : 0
% 0.20/0.49 # Backward-subsumed : 0
% 0.20/0.49 # Backward-rewritten : 14
% 0.20/0.49 # Generated clauses : 347
% 0.20/0.49 # ...of the previous two non-redundant : 273
% 0.20/0.49 # ...aggressively subsumed : 0
% 0.20/0.49 # Contextual simplify-reflections : 0
% 0.20/0.49 # Paramodulations : 347
% 0.20/0.49 # Factorizations : 0
% 0.20/0.49 # NegExts : 0
% 0.20/0.49 # Equation resolutions : 0
% 0.20/0.49 # Disequality decompositions : 0
% 0.20/0.49 # Total rewrite steps : 283
% 0.20/0.49 # ...of those cached : 177
% 0.20/0.49 # Propositional unsat checks : 0
% 0.20/0.49 # Propositional check models : 0
% 0.20/0.49 # Propositional check unsatisfiable : 0
% 0.20/0.49 # Propositional clauses : 0
% 0.20/0.49 # Propositional clauses after purity: 0
% 0.20/0.49 # Propositional unsat core size : 0
% 0.20/0.49 # Propositional preprocessing time : 0.000
% 0.20/0.49 # Propositional encoding time : 0.000
% 0.20/0.49 # Propositional solver time : 0.000
% 0.20/0.49 # Success case prop preproc time : 0.000
% 0.20/0.49 # Success case prop encoding time : 0.000
% 0.20/0.49 # Success case prop solver time : 0.000
% 0.20/0.49 # Current number of processed clauses : 8
% 0.20/0.49 # Positive orientable unit clauses : 7
% 0.20/0.49 # Positive unorientable unit clauses: 1
% 0.20/0.49 # Negative unit clauses : 0
% 0.20/0.49 # Non-unit-clauses : 0
% 0.20/0.49 # Current number of unprocessed clauses: 241
% 0.20/0.49 # ...number of literals in the above : 241
% 0.20/0.49 # Current number of archived formulas : 0
% 0.20/0.49 # Current number of archived clauses : 17
% 0.20/0.49 # Clause-clause subsumption calls (NU) : 0
% 0.20/0.49 # Rec. Clause-clause subsumption calls : 0
% 0.20/0.49 # Non-unit clause-clause subsumptions : 0
% 0.20/0.49 # Unit Clause-clause subsumption calls : 13
% 0.20/0.49 # Rewrite failures with RHS unbound : 0
% 0.20/0.49 # BW rewrite match attempts : 93
% 0.20/0.49 # BW rewrite match successes : 45
% 0.20/0.49 # Condensation attempts : 0
% 0.20/0.49 # Condensation successes : 0
% 0.20/0.49 # Termbank termtop insertions : 3842
% 0.20/0.49 # Search garbage collected termcells : 2
% 0.20/0.49
% 0.20/0.49 # -------------------------------------------------
% 0.20/0.49 # User time : 0.005 s
% 0.20/0.49 # System time : 0.004 s
% 0.20/0.49 # Total time : 0.009 s
% 0.20/0.49 # Maximum resident set size: 1572 pages
% 0.20/0.49
% 0.20/0.49 # -------------------------------------------------
% 0.20/0.49 # User time : 0.031 s
% 0.20/0.49 # System time : 0.008 s
% 0.20/0.49 # Total time : 0.040 s
% 0.20/0.49 # Maximum resident set size: 1688 pages
% 0.20/0.49 % E---3.1 exiting
% 0.20/0.49 % E exiting
%------------------------------------------------------------------------------