TSTP Solution File: GRP034-3 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP034-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 17:36:11 EDT 2023
% Result : Unsatisfiable 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 10 RR)
% Number of literals : 22 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 12 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(closure_of_product_and_inverse,axiom,
( subgroup_member(X3)
| ~ subgroup_member(X1)
| ~ subgroup_member(X2)
| ~ product(X1,inverse(X2),X3) ),
file('/export/starexec/sandbox2/tmp/tmp.cF7cD9YNS7/E---3.1_17986.p',closure_of_product_and_inverse) ).
cnf(right_inverse,axiom,
product(X1,inverse(X1),identity),
file('/export/starexec/sandbox2/tmp/tmp.cF7cD9YNS7/E---3.1_17986.p',right_inverse) ).
cnf(a_is_in_subgroup,hypothesis,
subgroup_member(a),
file('/export/starexec/sandbox2/tmp/tmp.cF7cD9YNS7/E---3.1_17986.p',a_is_in_subgroup) ).
cnf(left_identity,axiom,
product(identity,X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.cF7cD9YNS7/E---3.1_17986.p',left_identity) ).
cnf(prove_a_inverse_is_in_subgroup,negated_conjecture,
~ subgroup_member(inverse(a)),
file('/export/starexec/sandbox2/tmp/tmp.cF7cD9YNS7/E---3.1_17986.p',prove_a_inverse_is_in_subgroup) ).
cnf(c_0_5,axiom,
( subgroup_member(X3)
| ~ subgroup_member(X1)
| ~ subgroup_member(X2)
| ~ product(X1,inverse(X2),X3) ),
closure_of_product_and_inverse ).
cnf(c_0_6,axiom,
product(X1,inverse(X1),identity),
right_inverse ).
cnf(c_0_7,plain,
( subgroup_member(identity)
| ~ subgroup_member(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,hypothesis,
subgroup_member(a),
a_is_in_subgroup ).
cnf(c_0_9,axiom,
product(identity,X1,X1),
left_identity ).
cnf(c_0_10,hypothesis,
subgroup_member(identity),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
( subgroup_member(inverse(X1))
| ~ subgroup_member(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_9]),c_0_10])]) ).
cnf(c_0_12,negated_conjecture,
~ subgroup_member(inverse(a)),
prove_a_inverse_is_in_subgroup ).
cnf(c_0_13,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_8]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP034-3 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n014.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 2400
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Oct 3 02:39:49 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 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.cF7cD9YNS7/E---3.1_17986.p
% 0.18/0.45 # Version: 3.1pre001
% 0.18/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.45 # Starting sh5l with 300s (1) cores
% 0.18/0.45 # new_bool_3 with pid 18065 completed with status 0
% 0.18/0.45 # Result found by new_bool_3
% 0.18/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.45 # Search class: FHUSM-FFSF11-SFFFFFNN
% 0.18/0.45 # partial match(1): FHUSM-FFSF21-SFFFFFNN
% 0.18/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.45 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 181s (1) cores
% 0.18/0.45 # G-E--_208_C18_F1_AE_CS_SP_PI_S0a with pid 18070 completed with status 0
% 0.18/0.45 # Result found by G-E--_208_C18_F1_AE_CS_SP_PI_S0a
% 0.18/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.45 # Search class: FHUSM-FFSF11-SFFFFFNN
% 0.18/0.45 # partial match(1): FHUSM-FFSF21-SFFFFFNN
% 0.18/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.45 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 181s (1) cores
% 0.18/0.45 # Preprocessing time : 0.001 s
% 0.18/0.45
% 0.18/0.45 # Proof found!
% 0.18/0.45 # SZS status Unsatisfiable
% 0.18/0.45 # SZS output start CNFRefutation
% See solution above
% 0.18/0.45 # Parsed axioms : 11
% 0.18/0.45 # Removed by relevancy pruning/SinE : 1
% 0.18/0.45 # Initial clauses : 10
% 0.18/0.45 # Removed in clause preprocessing : 0
% 0.18/0.45 # Initial clauses in saturation : 10
% 0.18/0.45 # Processed clauses : 14
% 0.18/0.45 # ...of these trivial : 1
% 0.18/0.45 # ...subsumed : 0
% 0.18/0.45 # ...remaining for further processing : 13
% 0.18/0.45 # Other redundant clauses eliminated : 0
% 0.18/0.45 # Clauses deleted for lack of memory : 0
% 0.18/0.45 # Backward-subsumed : 0
% 0.18/0.45 # Backward-rewritten : 1
% 0.18/0.45 # Generated clauses : 38
% 0.18/0.45 # ...of the previous two non-redundant : 36
% 0.18/0.45 # ...aggressively subsumed : 0
% 0.18/0.45 # Contextual simplify-reflections : 0
% 0.18/0.45 # Paramodulations : 38
% 0.18/0.45 # Factorizations : 0
% 0.18/0.45 # NegExts : 0
% 0.18/0.45 # Equation resolutions : 0
% 0.18/0.45 # Total rewrite steps : 3
% 0.18/0.45 # Propositional unsat checks : 0
% 0.18/0.45 # Propositional check models : 0
% 0.18/0.45 # Propositional check unsatisfiable : 0
% 0.18/0.45 # Propositional clauses : 0
% 0.18/0.45 # Propositional clauses after purity: 0
% 0.18/0.45 # Propositional unsat core size : 0
% 0.18/0.45 # Propositional preprocessing time : 0.000
% 0.18/0.45 # Propositional encoding time : 0.000
% 0.18/0.45 # Propositional solver time : 0.000
% 0.18/0.45 # Success case prop preproc time : 0.000
% 0.18/0.45 # Success case prop encoding time : 0.000
% 0.18/0.45 # Success case prop solver time : 0.000
% 0.18/0.45 # Current number of processed clauses : 12
% 0.18/0.45 # Positive orientable unit clauses : 6
% 0.18/0.45 # Positive unorientable unit clauses: 0
% 0.18/0.45 # Negative unit clauses : 1
% 0.18/0.45 # Non-unit-clauses : 5
% 0.18/0.45 # Current number of unprocessed clauses: 32
% 0.18/0.45 # ...number of literals in the above : 88
% 0.18/0.45 # Current number of archived formulas : 0
% 0.18/0.45 # Current number of archived clauses : 1
% 0.18/0.45 # Clause-clause subsumption calls (NU) : 10
% 0.18/0.45 # Rec. Clause-clause subsumption calls : 8
% 0.18/0.45 # Non-unit clause-clause subsumptions : 0
% 0.18/0.45 # Unit Clause-clause subsumption calls : 0
% 0.18/0.45 # Rewrite failures with RHS unbound : 0
% 0.18/0.45 # BW rewrite match attempts : 1
% 0.18/0.45 # BW rewrite match successes : 1
% 0.18/0.45 # Condensation attempts : 0
% 0.18/0.45 # Condensation successes : 0
% 0.18/0.45 # Termbank termtop insertions : 525
% 0.18/0.45
% 0.18/0.45 # -------------------------------------------------
% 0.18/0.45 # User time : 0.002 s
% 0.18/0.45 # System time : 0.001 s
% 0.18/0.45 # Total time : 0.003 s
% 0.18/0.45 # Maximum resident set size: 1636 pages
% 0.18/0.45
% 0.18/0.45 # -------------------------------------------------
% 0.18/0.45 # User time : 0.005 s
% 0.18/0.45 # System time : 0.001 s
% 0.18/0.45 # Total time : 0.006 s
% 0.18/0.45 # Maximum resident set size: 1676 pages
% 0.18/0.45 % E---3.1 exiting
% 0.18/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------