TSTP Solution File: GRP120-1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP120-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 17:38:01 EDT 2023
% Result : Unsatisfiable 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of clauses : 46 ( 46 unt; 0 nHn; 5 RR)
% Number of literals : 46 ( 45 equ; 2 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 : 66 ( 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/sandbox2/tmp/tmp.zK7BdWMqae/E---3.1_22357.p',single_axiom) ).
cnf(single_axiom2,axiom,
multiply(identity,identity) = identity,
file('/export/starexec/sandbox2/tmp/tmp.zK7BdWMqae/E---3.1_22357.p',single_axiom2) ).
cnf(prove_order3,negated_conjecture,
multiply(identity,a) != a,
file('/export/starexec/sandbox2/tmp/tmp.zK7BdWMqae/E---3.1_22357.p',prove_order3) ).
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,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_39,plain,
multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity) = multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_12]),c_0_4]) ).
cnf(c_0_40,plain,
multiply(multiply(X1,X1),multiply(X1,multiply(X1,X2))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_38]),c_0_38]) ).
cnf(c_0_41,plain,
multiply(multiply(X1,X1),multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity))) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_39]) ).
cnf(c_0_42,plain,
multiply(multiply(X1,X1),multiply(X1,X1)) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38]),c_0_38]) ).
cnf(c_0_43,negated_conjecture,
multiply(identity,a) != a,
prove_order3 ).
cnf(c_0_44,plain,
multiply(identity,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_38]),c_0_38]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP120-1 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Oct 3 01:39:41 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.zK7BdWMqae/E---3.1_22357.p
% 0.16/0.45 # Version: 3.1pre001
% 0.16/0.45 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # new_bool_1 with pid 22437 completed with status 0
% 0.16/0.45 # Result found by new_bool_1
% 0.16/0.45 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45 # Search class: FUUPF-FFSF22-MFFFFFNN
% 0.16/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting G-E--_209_C18_F1_AE_CS_SP_PI_S0Y with 93s (1) cores
% 0.16/0.45 # G-E--_209_C18_F1_AE_CS_SP_PI_S0Y with pid 22442 completed with status 0
% 0.16/0.45 # Result found by G-E--_209_C18_F1_AE_CS_SP_PI_S0Y
% 0.16/0.45 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45 # Search class: FUUPF-FFSF22-MFFFFFNN
% 0.16/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting G-E--_209_C18_F1_AE_CS_SP_PI_S0Y with 93s (1) cores
% 0.16/0.45 # Preprocessing time : 0.001 s
% 0.16/0.45
% 0.16/0.45 # Proof found!
% 0.16/0.45 # SZS status Unsatisfiable
% 0.16/0.45 # SZS output start CNFRefutation
% See solution above
% 0.16/0.45 # Parsed axioms : 3
% 0.16/0.45 # Removed by relevancy pruning/SinE : 0
% 0.16/0.45 # Initial clauses : 3
% 0.16/0.45 # Removed in clause preprocessing : 0
% 0.16/0.45 # Initial clauses in saturation : 3
% 0.16/0.45 # Processed clauses : 86
% 0.16/0.45 # ...of these trivial : 24
% 0.16/0.45 # ...subsumed : 0
% 0.16/0.45 # ...remaining for further processing : 62
% 0.16/0.45 # Other redundant clauses eliminated : 0
% 0.16/0.45 # Clauses deleted for lack of memory : 0
% 0.16/0.45 # Backward-subsumed : 0
% 0.16/0.45 # Backward-rewritten : 54
% 0.16/0.45 # Generated clauses : 1375
% 0.16/0.45 # ...of the previous two non-redundant : 797
% 0.16/0.45 # ...aggressively subsumed : 0
% 0.16/0.45 # Contextual simplify-reflections : 0
% 0.16/0.45 # Paramodulations : 1375
% 0.16/0.45 # Factorizations : 0
% 0.16/0.45 # NegExts : 0
% 0.16/0.45 # Equation resolutions : 0
% 0.16/0.45 # Total rewrite steps : 5231
% 0.16/0.45 # Propositional unsat checks : 0
% 0.16/0.45 # Propositional check models : 0
% 0.16/0.45 # Propositional check unsatisfiable : 0
% 0.16/0.45 # Propositional clauses : 0
% 0.16/0.45 # Propositional clauses after purity: 0
% 0.16/0.45 # Propositional unsat core size : 0
% 0.16/0.45 # Propositional preprocessing time : 0.000
% 0.16/0.45 # Propositional encoding time : 0.000
% 0.16/0.45 # Propositional solver time : 0.000
% 0.16/0.45 # Success case prop preproc time : 0.000
% 0.16/0.45 # Success case prop encoding time : 0.000
% 0.16/0.45 # Success case prop solver time : 0.000
% 0.16/0.45 # Current number of processed clauses : 8
% 0.16/0.45 # Positive orientable unit clauses : 8
% 0.16/0.45 # Positive unorientable unit clauses: 0
% 0.16/0.45 # Negative unit clauses : 0
% 0.16/0.45 # Non-unit-clauses : 0
% 0.16/0.45 # Current number of unprocessed clauses: 689
% 0.16/0.45 # ...number of literals in the above : 689
% 0.16/0.45 # Current number of archived formulas : 0
% 0.16/0.45 # Current number of archived clauses : 54
% 0.16/0.45 # Clause-clause subsumption calls (NU) : 0
% 0.16/0.45 # Rec. Clause-clause subsumption calls : 0
% 0.16/0.45 # Non-unit clause-clause subsumptions : 0
% 0.16/0.45 # Unit Clause-clause subsumption calls : 0
% 0.16/0.45 # Rewrite failures with RHS unbound : 0
% 0.16/0.45 # BW rewrite match attempts : 335
% 0.16/0.45 # BW rewrite match successes : 64
% 0.16/0.45 # Condensation attempts : 0
% 0.16/0.45 # Condensation successes : 0
% 0.16/0.45 # Termbank termtop insertions : 41319
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.018 s
% 0.16/0.45 # System time : 0.004 s
% 0.16/0.45 # Total time : 0.022 s
% 0.16/0.45 # Maximum resident set size: 1424 pages
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.018 s
% 0.16/0.45 # System time : 0.006 s
% 0.16/0.45 # Total time : 0.025 s
% 0.16/0.45 # Maximum resident set size: 1668 pages
% 0.16/0.45 % E---3.1 exiting
% 0.16/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------