TSTP Solution File: GRP395-1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GRP395-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 20:55:51 EDT 2024
% Result : Satisfiable 0.19s 0.49s
% Output : Saturation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named identity_in_group)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_14,plain,
( group_member(inverse(X2,X1),X2)
| ~ group_member(X1,X2) ),
c_0_11,
[final] ).
cnf(c_0_15,axiom,
group_member(identity_for(X1),X1),
identity_in_group,
[final] ).
cnf(c_0_16,plain,
( X5 = X4
| ~ product(X1,X2,X3,X4)
| ~ product(X1,X2,X3,X5) ),
c_0_12,
[final] ).
cnf(c_0_17,axiom,
product(X1,identity_for(X1),X2,X2),
left_identity,
[final] ).
cnf(c_0_18,plain,
( product(X1,X2,X6,X7)
| ~ product(X1,X2,X3,X4)
| ~ product(X1,X3,X5,X6)
| ~ product(X1,X4,X5,X7) ),
c_0_13,
[final] ).
cnf(c_0_21,plain,
( X1 = X2
| ~ product(X3,identity_for(X3),X2,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]),
[final] ).
cnf(c_0_22,axiom,
product(X1,X2,inverse(X1,X2),identity_for(X1)),
right_inverse,
[final] ).
cnf(c_0_23,plain,
( product(X1,X2,X3,X4)
| ~ product(X1,X2,X5,identity_for(X1))
| ~ product(X1,X5,X4,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]),
[final] ).
cnf(c_0_24,axiom,
product(X1,inverse(X1,X2),X2,identity_for(X1)),
left_inverse,
[final] ).
cnf(c_0_27,plain,
( group_member(multiply(X2,X1,X3),X2)
| ~ group_member(X1,X2)
| ~ group_member(X3,X2) ),
c_0_19,
[final] ).
cnf(c_0_29,plain,
inverse(X1,identity_for(X1)) = identity_for(X1),
inference(spm,[status(thm)],[c_0_21,c_0_22]),
[final] ).
cnf(c_0_30,axiom,
product(X1,X2,identity_for(X1),X2),
right_identity,
[final] ).
cnf(c_0_31,plain,
( product(X1,inverse(X1,X2),X3,X4)
| ~ product(X1,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]),
[final] ).
cnf(c_0_32,plain,
( product(X1,X4,X5,X7)
| ~ product(X1,X2,X3,X4)
| ~ product(X1,X3,X5,X6)
| ~ product(X1,X2,X6,X7) ),
c_0_25,
[final] ).
cnf(c_0_33,plain,
( product(X2,X1,X3,multiply(X2,X1,X3))
| ~ group_member(X1,X2)
| ~ group_member(X3,X2) ),
c_0_26,
[final] ).
cnf(c_0_34,plain,
( group_member(multiply(X1,X2,identity_for(X1)),X1)
| ~ group_member(X2,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_29]),
[final] ).
cnf(c_0_35,plain,
( X1 = X2
| ~ product(X3,X2,identity_for(X3),X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_30]),
[final] ).
cnf(c_0_37,plain,
( product(X1,X2,X3,identity_for(X1))
| ~ product(X1,X2,X4,inverse(X1,X5))
| ~ product(X1,X4,X5,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_24]),
[final] ).
cnf(c_0_38,plain,
( product(X1,X2,X3,X4)
| ~ product(X1,X5,inverse(X1,X3),X2)
| ~ product(X1,X5,identity_for(X1),X4) ),
inference(spm,[status(thm)],[c_0_32,c_0_24]),
[final] ).
cnf(c_0_39,plain,
( product(X1,X2,identity_for(X1),multiply(X1,X2,identity_for(X1)))
| ~ group_member(X2,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_28]),c_0_29]),c_0_29]),c_0_29]),c_0_29]),
[final] ).
cnf(c_0_41,plain,
( product(X1,X2,X3,identity_for(X1))
| ~ product(X1,X4,inverse(X1,X5),X3)
| ~ product(X1,X2,X4,X5) ),
inference(spm,[status(thm)],[c_0_18,c_0_22]),
[final] ).
cnf(c_0_42,plain,
inverse(X1,inverse(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_35,c_0_36]),
[final] ).
cnf(c_0_43,plain,
( product(X1,identity_for(X1),X2,identity_for(X1))
| ~ product(X1,inverse(X1,X3),X3,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_17]),
[final] ).
cnf(c_0_44,plain,
( product(X1,X2,X3,X4)
| ~ product(X1,X4,inverse(X1,X3),X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_30]),
[final] ).
cnf(c_0_45,plain,
( product(X1,X2,identity_for(X1),X3)
| ~ product(X1,X4,X5,X3)
| ~ product(X1,X4,X5,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_30]),
[final] ).
cnf(c_0_47,plain,
( group_member(multiply(X1,X2,multiply(X1,identity_for(X1),identity_for(X1))),X1)
| ~ group_member(X2,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_40]),
[final] ).
cnf(c_0_48,plain,
group_member(multiply(X1,multiply(X1,identity_for(X1),identity_for(X1)),identity_for(X1)),X1),
inference(spm,[status(thm)],[c_0_34,c_0_40]),
[final] ).
cnf(c_0_49,plain,
group_member(inverse(X1,multiply(X1,identity_for(X1),identity_for(X1))),X1),
inference(spm,[status(thm)],[c_0_14,c_0_40]),
[final] ).
cnf(c_0_50,plain,
( product(X1,X2,inverse(X1,X3),identity_for(X1))
| ~ product(X1,X2,identity_for(X1),X3) ),
inference(spm,[status(thm)],[c_0_41,c_0_17]),
[final] ).
cnf(c_0_51,plain,
( product(X1,X2,identity_for(X1),identity_for(X1))
| ~ product(X1,X2,X3,X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_24]),c_0_42]),
[final] ).
cnf(c_0_52,plain,
( product(X1,identity_for(X1),X2,identity_for(X1))
| ~ product(X1,X3,inverse(X1,X3),X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_42]),
[final] ).
cnf(c_0_53,plain,
( product(X1,inverse(X1,X2),X3,identity_for(X1))
| ~ product(X1,identity_for(X1),X2,X3) ),
inference(spm,[status(thm)],[c_0_37,c_0_30]),
[final] ).
cnf(c_0_54,plain,
( product(X1,X2,inverse(X1,X3),X4)
| ~ product(X1,X5,identity_for(X1),X4)
| ~ product(X1,X5,X3,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_22]),
[final] ).
cnf(c_0_55,plain,
( product(X1,X2,inverse(X1,X3),X4)
| ~ product(X1,X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_42]),
[final] ).
cnf(c_0_56,plain,
( product(X1,X2,X3,X4)
| ~ product(X1,X5,identity_for(X1),X3)
| ~ product(X1,X2,X5,X4) ),
inference(spm,[status(thm)],[c_0_18,c_0_30]),
[final] ).
cnf(c_0_57,plain,
( product(X1,X2,X3,X4)
| ~ product(X1,inverse(X1,X2),X4,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]),
[final] ).
cnf(c_0_58,plain,
( product(X1,identity_for(X1),X2,X3)
| ~ product(X1,identity_for(X1),X3,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_17]),
[final] ).
cnf(c_0_59,plain,
( product(X1,X2,identity_for(X1),identity_for(X1))
| ~ product(X1,X3,inverse(X1,X3),X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_22]),
[final] ).
cnf(c_0_60,plain,
( product(X1,X2,identity_for(X1),identity_for(X1))
| ~ product(X1,inverse(X1,X3),X3,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_24]),
[final] ).
cnf(c_0_61,plain,
( product(X1,X2,identity_for(X1),X3)
| ~ product(X1,X3,identity_for(X1),X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_30]),
[final] ).
cnf(c_0_62,plain,
( product(X1,X2,identity_for(X1),X3)
| ~ product(X1,identity_for(X1),X3,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_17]),
[final] ).
cnf(c_0_63,plain,
( product(X1,X2,X3,X4)
| ~ product(X1,X5,identity_for(X1),X2)
| ~ product(X1,X5,X3,X4) ),
inference(spm,[status(thm)],[c_0_32,c_0_17]),
[final] ).
cnf(c_0_64,plain,
( X1 = identity_for(X2)
| ~ product(X2,X3,inverse(X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_22]),
[final] ).
cnf(c_0_65,plain,
( X1 = identity_for(X2)
| ~ product(X2,inverse(X2,X3),X3,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_24]),
[final] ).
cnf(c_0_66,plain,
multiply(X1,identity_for(X1),identity_for(X1)) = identity_for(X1),
inference(spm,[status(thm)],[c_0_35,c_0_46]),
[final] ).
cnf(c_0_67,plain,
group_member(multiply(X1,identity_for(X1),multiply(X1,identity_for(X1),identity_for(X1))),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_28]),c_0_29]),c_0_29]),
[final] ).
cnf(c_0_68,plain,
group_member(inverse(X1,multiply(X1,multiply(X1,identity_for(X1),identity_for(X1)),identity_for(X1))),X1),
inference(spm,[status(thm)],[c_0_14,c_0_48]),
[final] ).
cnf(c_0_69,plain,
group_member(multiply(X1,inverse(X1,multiply(X1,identity_for(X1),identity_for(X1))),identity_for(X1)),X1),
inference(spm,[status(thm)],[c_0_34,c_0_49]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP395-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n003.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 : Sun May 19 04:16:07 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.19/0.48 Running first-order model finding
% 0.19/0.48 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
% 0.19/0.49 # Version: 3.1.0
% 0.19/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 # Starting sh5l with 300s (1) cores
% 0.19/0.49 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23828 completed with status 1
% 0.19/0.49 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49 # No SInE strategy applied
% 0.19/0.49 # Search class: FHUSM-FFSF32-SFFFFFNN
% 0.19/0.49 # partial match(1): FHUSM-FFSF22-SFFFFFNN
% 0.19/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.49 # Starting G----_Y1346__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 0.19/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.49 # Starting new_bool_3 with 136s (1) cores
% 0.19/0.49 # Starting new_bool_1 with 136s (1) cores
% 0.19/0.49 # Starting sh5l with 136s (1) cores
% 0.19/0.49 # G----_Y1346__C12_02_nc_F1_AE_CS_SP_S2S with pid 23834 completed with status 1
% 0.19/0.49 # Result found by G----_Y1346__C12_02_nc_F1_AE_CS_SP_S2S
% 0.19/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49 # No SInE strategy applied
% 0.19/0.49 # Search class: FHUSM-FFSF32-SFFFFFNN
% 0.19/0.49 # partial match(1): FHUSM-FFSF22-SFFFFFNN
% 0.19/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.49 # Starting G----_Y1346__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 0.19/0.49 # Preprocessing time : 0.001 s
% 0.19/0.49 # Presaturation interreduction done
% 0.19/0.49
% 0.19/0.49 # No proof found!
% 0.19/0.49 # SZS status Satisfiable
% 0.19/0.49 # SZS output start Saturation
% See solution above
% 0.19/0.50 # Parsed axioms : 11
% 0.19/0.50 # Removed by relevancy pruning/SinE : 0
% 0.19/0.50 # Initial clauses : 11
% 0.19/0.50 # Removed in clause preprocessing : 0
% 0.19/0.50 # Initial clauses in saturation : 11
% 0.19/0.50 # Processed clauses : 136
% 0.19/0.50 # ...of these trivial : 28
% 0.19/0.50 # ...subsumed : 41
% 0.19/0.50 # ...remaining for further processing : 67
% 0.19/0.50 # Other redundant clauses eliminated : 0
% 0.19/0.50 # Clauses deleted for lack of memory : 0
% 0.19/0.50 # Backward-subsumed : 0
% 0.19/0.50 # Backward-rewritten : 8
% 0.19/0.50 # Generated clauses : 196
% 0.19/0.50 # ...of the previous two non-redundant : 133
% 0.19/0.50 # ...aggressively subsumed : 0
% 0.19/0.50 # Contextual simplify-reflections : 0
% 0.19/0.50 # Paramodulations : 196
% 0.19/0.50 # Factorizations : 0
% 0.19/0.50 # NegExts : 0
% 0.19/0.50 # Equation resolutions : 0
% 0.19/0.50 # Disequality decompositions : 0
% 0.19/0.50 # Total rewrite steps : 325
% 0.19/0.50 # ...of those cached : 307
% 0.19/0.50 # Propositional unsat checks : 0
% 0.19/0.50 # Propositional check models : 0
% 0.19/0.50 # Propositional check unsatisfiable : 0
% 0.19/0.50 # Propositional clauses : 0
% 0.19/0.50 # Propositional clauses after purity: 0
% 0.19/0.50 # Propositional unsat core size : 0
% 0.19/0.50 # Propositional preprocessing time : 0.000
% 0.19/0.50 # Propositional encoding time : 0.000
% 0.19/0.50 # Propositional solver time : 0.000
% 0.19/0.50 # Success case prop preproc time : 0.000
% 0.19/0.50 # Success case prop encoding time : 0.000
% 0.19/0.50 # Success case prop solver time : 0.000
% 0.19/0.50 # Current number of processed clauses : 48
% 0.19/0.50 # Positive orientable unit clauses : 13
% 0.19/0.50 # Positive unorientable unit clauses: 0
% 0.19/0.50 # Negative unit clauses : 0
% 0.19/0.50 # Non-unit-clauses : 35
% 0.19/0.50 # Current number of unprocessed clauses: 0
% 0.19/0.50 # ...number of literals in the above : 0
% 0.19/0.50 # Current number of archived formulas : 0
% 0.19/0.50 # Current number of archived clauses : 19
% 0.19/0.50 # Clause-clause subsumption calls (NU) : 577
% 0.19/0.50 # Rec. Clause-clause subsumption calls : 547
% 0.19/0.50 # Non-unit clause-clause subsumptions : 41
% 0.19/0.50 # Unit Clause-clause subsumption calls : 0
% 0.19/0.50 # Rewrite failures with RHS unbound : 0
% 0.19/0.50 # BW rewrite match attempts : 22
% 0.19/0.50 # BW rewrite match successes : 7
% 0.19/0.50 # Condensation attempts : 0
% 0.19/0.50 # Condensation successes : 0
% 0.19/0.50 # Termbank termtop insertions : 2862
% 0.19/0.50 # Search garbage collected termcells : 25
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.006 s
% 0.19/0.50 # System time : 0.004 s
% 0.19/0.50 # Total time : 0.010 s
% 0.19/0.50 # Maximum resident set size: 1708 pages
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.034 s
% 0.19/0.50 # System time : 0.009 s
% 0.19/0.50 # Total time : 0.043 s
% 0.19/0.50 # Maximum resident set size: 1708 pages
% 0.19/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------