TSTP Solution File: GRP119-1 by E---3.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : GRP119-1 : TPTP v8.2.0. Bugfixed v1.2.1.
% 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 Jun 24 06:42:55 EDT 2024
% Result : Unsatisfiable 0.69s 0.56s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of clauses : 43 ( 43 unt; 0 nHn; 6 RR)
% Number of literals : 43 ( 42 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3)))) = X2,
file('/export/starexec/sandbox/tmp/tmp.BGPtmUPXv1/E---3.1_27752.p',single_axiom) ).
cnf(single_axiom2,axiom,
multiply(identity,identity) = identity,
file('/export/starexec/sandbox/tmp/tmp.BGPtmUPXv1/E---3.1_27752.p',single_axiom2) ).
cnf(prove_order4,negated_conjecture,
multiply(a,multiply(a,multiply(a,a))) != identity,
file('/export/starexec/sandbox/tmp/tmp.BGPtmUPXv1/E---3.1_27752.p',prove_order4) ).
cnf(c_0_3,axiom,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3)))) = X2,
single_axiom ).
cnf(c_0_4,axiom,
multiply(identity,identity) = identity,
single_axiom2 ).
cnf(c_0_5,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,identity))),identity)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_4]) ).
cnf(c_0_6,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,identity))),identity)) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
cnf(c_0_7,plain,
multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),multiply(X2,identity))) = multiply(X1,multiply(multiply(X1,X2),identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_5]),c_0_4]),c_0_4]) ).
cnf(c_0_8,plain,
multiply(identity,multiply(multiply(identity,X1),identity)) = multiply(identity,multiply(identity,multiply(X1,identity))),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_9,plain,
multiply(multiply(X1,X1),multiply(multiply(X1,multiply(multiply(X1,X2),identity)),identity)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_4]),c_0_4]) ).
cnf(c_0_10,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1,
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_11,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_8]),c_0_8]) ).
cnf(c_0_12,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity)) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_4]),c_0_4]) ).
cnf(c_0_13,plain,
multiply(multiply(identity,multiply(identity,multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_4]),c_0_8]) ).
cnf(c_0_14,plain,
multiply(multiply(identity,X1),identity) = multiply(identity,multiply(X1,identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_8]),c_0_4]),c_0_8]),c_0_8]),c_0_11]) ).
cnf(c_0_15,plain,
multiply(multiply(X1,X1),multiply(multiply(multiply(X1,X1),multiply(X1,X1)),identity)) = multiply(X1,multiply(multiply(X1,identity),identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_12]),c_0_4]),c_0_4]) ).
cnf(c_0_16,plain,
multiply(multiply(identity,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))) = multiply(identity,multiply(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_13]),c_0_11]),c_0_14]),c_0_14]),c_0_14]),c_0_14]),c_0_11]) ).
cnf(c_0_17,plain,
multiply(X1,multiply(multiply(X1,multiply(X1,multiply(multiply(X1,identity),identity))),identity)) = multiply(multiply(X1,X1),multiply(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_15]),c_0_4]),c_0_4]) ).
cnf(c_0_18,plain,
multiply(identity,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))) = multiply(identity,multiply(identity,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_4]),c_0_4]),c_0_4]),c_0_4]),c_0_4]),c_0_4]),c_0_4]),c_0_4]) ).
cnf(c_0_19,plain,
multiply(multiply(X1,multiply(multiply(X1,X1),multiply(X2,X3))),multiply(X3,multiply(X3,X3))) = multiply(multiply(X1,X1),multiply(multiply(X1,multiply(X2,identity)),identity)),
inference(spm,[status(thm)],[c_0_9,c_0_3]) ).
cnf(c_0_20,plain,
multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1)))) = multiply(identity,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_18]),c_0_4]),c_0_14]),c_0_14]),c_0_14]),c_0_8]),c_0_8]),c_0_11]) ).
cnf(c_0_21,plain,
multiply(identity,multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2)) = multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_16]),c_0_4]),c_0_4]),c_0_14]) ).
cnf(c_0_22,plain,
multiply(multiply(identity,X1),multiply(identity,X2)) = multiply(identity,multiply(X1,X2)),
inference(rw,[status(thm)],[c_0_16,c_0_20]) ).
cnf(c_0_23,plain,
multiply(multiply(identity,multiply(X1,multiply(X2,multiply(X2,X2)))),X2) = multiply(identity,multiply(multiply(X1,identity),identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_21]),c_0_4]),c_0_8]),c_0_8]),c_0_11]) ).
cnf(c_0_24,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))),X2)) = multiply(X1,multiply(identity,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_11]) ).
cnf(c_0_25,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),multiply(identity,multiply(X2,identity)))),identity)) = multiply(identity,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_14]),c_0_4]),c_0_4]) ).
cnf(c_0_26,plain,
multiply(multiply(X1,multiply(identity,multiply(X2,multiply(X2,X2)))),X2) = multiply(multiply(X1,identity),identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_14]),c_0_8]),c_0_14]),c_0_14]),c_0_11]) ).
cnf(c_0_27,plain,
multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X1),X2)),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(X2,identity)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_5]),c_0_4]) ).
cnf(c_0_28,plain,
multiply(multiply(multiply(X1,multiply(identity,multiply(identity,multiply(identity,X2)))),identity),identity) = multiply(multiply(multiply(X1,identity),identity),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_26]),c_0_22]),c_0_22]),c_0_20]) ).
cnf(c_0_29,plain,
multiply(multiply(X1,multiply(multiply(X1,X1),X2)),identity) = multiply(multiply(X1,X1),multiply(multiply(X1,X2),identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_27]),c_0_14]),c_0_14]),c_0_14]),c_0_11]) ).
cnf(c_0_30,plain,
multiply(X1,multiply(multiply(multiply(X1,identity),identity),multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X1,identity),identity)))) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_11]),c_0_4]),c_0_4]),c_0_4]),c_0_4]) ).
cnf(c_0_31,plain,
multiply(multiply(multiply(X1,identity),identity),multiply(multiply(X2,identity),identity)) = multiply(multiply(multiply(X1,X2),identity),identity),
inference(spm,[status(thm)],[c_0_28,c_0_11]) ).
cnf(c_0_32,plain,
multiply(X1,multiply(multiply(X1,X1),multiply(multiply(X1,X2),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(X2,identity)))),
inference(rw,[status(thm)],[c_0_27,c_0_29]) ).
cnf(c_0_33,plain,
multiply(X1,multiply(multiply(multiply(X1,multiply(X1,X1)),identity),identity)) = identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_31]) ).
cnf(c_0_34,plain,
multiply(multiply(X1,multiply(X1,X1)),identity) = multiply(X1,multiply(multiply(X1,X1),identity)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_4]),c_0_11]) ).
cnf(c_0_35,plain,
multiply(X1,multiply(multiply(X1,X1),multiply(X1,multiply(multiply(X1,X1),identity)))) = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,X1),identity)))),
inference(spm,[status(thm)],[c_0_32,c_0_34]) ).
cnf(c_0_36,plain,
multiply(multiply(X1,multiply(identity,multiply(identity,X2))),multiply(X2,multiply(X2,X2))) = multiply(multiply(X1,identity),identity),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_37,plain,
multiply(multiply(X1,X1),multiply(multiply(X1,multiply(X1,identity)),identity)) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_35]),c_0_36]),c_0_4]),c_0_4]) ).
cnf(c_0_38,negated_conjecture,
multiply(a,multiply(a,multiply(a,a))) != identity,
inference(fof_simplification,[status(thm)],[prove_order4]) ).
cnf(c_0_39,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_37]),c_0_11]) ).
cnf(c_0_40,negated_conjecture,
multiply(a,multiply(a,multiply(a,a))) != identity,
c_0_38 ).
cnf(c_0_41,plain,
multiply(X1,multiply(X1,multiply(X1,X1))) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_39]),c_0_39]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP119-1 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Jun 20 10:47:09 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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.BGPtmUPXv1/E---3.1_27752.p
% 0.69/0.55 # Version: 3.2.0
% 0.69/0.55 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.69/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.69/0.55 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.69/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.69/0.55 # Starting new_bool_1 with 300s (1) cores
% 0.69/0.55 # Starting sh5l with 300s (1) cores
% 0.69/0.55 # new_bool_3 with pid 27851 completed with status 0
% 0.69/0.55 # Result found by new_bool_3
% 0.69/0.55 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.69/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.69/0.55 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.69/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.69/0.55 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.69/0.55 # Search class: FUUPF-FFSF22-MFFFFFNN
% 0.69/0.55 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.69/0.55 # Starting G-E--_209_C18_F1_AE_CS_SP_PI_S0Y with 93s (1) cores
% 0.69/0.55 # G-E--_209_C18_F1_AE_CS_SP_PI_S0Y with pid 27856 completed with status 0
% 0.69/0.55 # Result found by G-E--_209_C18_F1_AE_CS_SP_PI_S0Y
% 0.69/0.55 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.69/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.69/0.56 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.69/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.69/0.56 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.69/0.56 # Search class: FUUPF-FFSF22-MFFFFFNN
% 0.69/0.56 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.69/0.56 # Starting G-E--_209_C18_F1_AE_CS_SP_PI_S0Y with 93s (1) cores
% 0.69/0.56 # Preprocessing time : 0.001 s
% 0.69/0.56
% 0.69/0.56 # Proof found!
% 0.69/0.56 # SZS status Unsatisfiable
% 0.69/0.56 # SZS output start CNFRefutation
% See solution above
% 0.69/0.56 # Parsed axioms : 3
% 0.69/0.56 # Removed by relevancy pruning/SinE : 0
% 0.69/0.56 # Initial clauses : 3
% 0.69/0.56 # Removed in clause preprocessing : 0
% 0.69/0.56 # Initial clauses in saturation : 3
% 0.69/0.56 # Processed clauses : 81
% 0.69/0.56 # ...of these trivial : 22
% 0.69/0.56 # ...subsumed : 0
% 0.69/0.56 # ...remaining for further processing : 59
% 0.69/0.56 # Other redundant clauses eliminated : 0
% 0.69/0.56 # Clauses deleted for lack of memory : 0
% 0.69/0.56 # Backward-subsumed : 0
% 0.69/0.56 # Backward-rewritten : 39
% 0.69/0.56 # Generated clauses : 1302
% 0.69/0.56 # ...of the previous two non-redundant : 753
% 0.69/0.56 # ...aggressively subsumed : 0
% 0.69/0.56 # Contextual simplify-reflections : 0
% 0.69/0.56 # Paramodulations : 1302
% 0.69/0.56 # Factorizations : 0
% 0.69/0.56 # NegExts : 0
% 0.69/0.56 # Equation resolutions : 0
% 0.69/0.56 # Disequality decompositions : 0
% 0.69/0.56 # Total rewrite steps : 4877
% 0.69/0.56 # ...of those cached : 4359
% 0.69/0.56 # Propositional unsat checks : 0
% 0.69/0.56 # Propositional check models : 0
% 0.69/0.56 # Propositional check unsatisfiable : 0
% 0.69/0.56 # Propositional clauses : 0
% 0.69/0.56 # Propositional clauses after purity: 0
% 0.69/0.56 # Propositional unsat core size : 0
% 0.69/0.56 # Propositional preprocessing time : 0.000
% 0.69/0.56 # Propositional encoding time : 0.000
% 0.69/0.56 # Propositional solver time : 0.000
% 0.69/0.56 # Success case prop preproc time : 0.000
% 0.69/0.56 # Success case prop encoding time : 0.000
% 0.69/0.56 # Success case prop solver time : 0.000
% 0.69/0.56 # Current number of processed clauses : 20
% 0.69/0.56 # Positive orientable unit clauses : 20
% 0.69/0.56 # Positive unorientable unit clauses: 0
% 0.69/0.56 # Negative unit clauses : 0
% 0.69/0.56 # Non-unit-clauses : 0
% 0.69/0.56 # Current number of unprocessed clauses: 658
% 0.69/0.56 # ...number of literals in the above : 658
% 0.69/0.56 # Current number of archived formulas : 0
% 0.69/0.56 # Current number of archived clauses : 39
% 0.69/0.56 # Clause-clause subsumption calls (NU) : 0
% 0.69/0.56 # Rec. Clause-clause subsumption calls : 0
% 0.69/0.56 # Non-unit clause-clause subsumptions : 0
% 0.69/0.56 # Unit Clause-clause subsumption calls : 0
% 0.69/0.56 # Rewrite failures with RHS unbound : 0
% 0.69/0.56 # BW rewrite match attempts : 289
% 0.69/0.56 # BW rewrite match successes : 40
% 0.69/0.56 # Condensation attempts : 0
% 0.69/0.56 # Condensation successes : 0
% 0.69/0.56 # Termbank termtop insertions : 40093
% 0.69/0.56 # Search garbage collected termcells : 2
% 0.69/0.56
% 0.69/0.56 # -------------------------------------------------
% 0.69/0.56 # User time : 0.041 s
% 0.69/0.56 # System time : 0.004 s
% 0.69/0.56 # Total time : 0.045 s
% 0.69/0.56 # Maximum resident set size: 1612 pages
% 0.69/0.56
% 0.69/0.56 # -------------------------------------------------
% 0.69/0.56 # User time : 0.042 s
% 0.69/0.56 # System time : 0.007 s
% 0.69/0.56 # Total time : 0.049 s
% 0.69/0.56 # Maximum resident set size: 1744 pages
% 0.69/0.56 % E---3.1 exiting
% 0.69/0.56 % E exiting
%------------------------------------------------------------------------------