TSTP Solution File: GRP010-4 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP010-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n001.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 17:43:27 EDT 2023
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 5 RR)
% Number of literals : 14 ( 13 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.9gylbx2P2f/E---3.1_27515.p',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox/tmp/tmp.9gylbx2P2f/E---3.1_27515.p',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.9gylbx2P2f/E---3.1_27515.p',left_identity) ).
cnf(c_times_b_is_e,hypothesis,
multiply(c,b) = identity,
file('/export/starexec/sandbox/tmp/tmp.9gylbx2P2f/E---3.1_27515.p',c_times_b_is_e) ).
cnf(prove_b_times_c_is_e,negated_conjecture,
multiply(b,c) != identity,
file('/export/starexec/sandbox/tmp/tmp.9gylbx2P2f/E---3.1_27515.p',prove_b_times_c_is_e) ).
cnf(c_0_5,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_6,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_7,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_8,hypothesis,
multiply(c,b) = identity,
c_times_b_is_e ).
cnf(c_0_9,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
cnf(c_0_10,hypothesis,
multiply(c,multiply(b,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_8]),c_0_7]) ).
cnf(c_0_11,hypothesis,
multiply(inverse(c),X1) = multiply(b,X1),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
multiply(b,c) != identity,
prove_b_times_c_is_e ).
cnf(c_0_13,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP010-4 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.09 % Command : run_E %s %d THM
% 0.09/0.28 % Computer : n001.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 2400
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Tue Oct 3 02:50:22 EDT 2023
% 0.09/0.28 % CPUTime :
% 0.13/0.38 Running first-order model finding
% 0.13/0.38 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.9gylbx2P2f/E---3.1_27515.p
% 0.13/0.39 # Version: 3.1pre001
% 0.13/0.39 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.39 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.39 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.39 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.39 # Starting new_bool_1 with 300s (1) cores
% 0.13/0.39 # Starting sh5l with 300s (1) cores
% 0.13/0.39 # sh5l with pid 27595 completed with status 0
% 0.13/0.39 # Result found by sh5l
% 0.13/0.39 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.39 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.39 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.39 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.39 # Starting new_bool_1 with 300s (1) cores
% 0.13/0.39 # Starting sh5l with 300s (1) cores
% 0.13/0.39 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/0.39 # Search class: FUUPS-FFSF21-SFFFFFNN
% 0.13/0.39 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.39 # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.13/0.39 # G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with pid 27602 completed with status 0
% 0.13/0.39 # Result found by G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN
% 0.13/0.39 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.39 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.39 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.39 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.39 # Starting new_bool_1 with 300s (1) cores
% 0.13/0.39 # Starting sh5l with 300s (1) cores
% 0.13/0.39 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/0.39 # Search class: FUUPS-FFSF21-SFFFFFNN
% 0.13/0.39 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.39 # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.13/0.39 # Preprocessing time : 0.001 s
% 0.13/0.39 # Presaturation interreduction done
% 0.13/0.39
% 0.13/0.39 # Proof found!
% 0.13/0.39 # SZS status Unsatisfiable
% 0.13/0.39 # SZS output start CNFRefutation
% See solution above
% 0.13/0.39 # Parsed axioms : 5
% 0.13/0.39 # Removed by relevancy pruning/SinE : 0
% 0.13/0.39 # Initial clauses : 5
% 0.13/0.39 # Removed in clause preprocessing : 0
% 0.13/0.39 # Initial clauses in saturation : 5
% 0.13/0.39 # Processed clauses : 16
% 0.13/0.39 # ...of these trivial : 0
% 0.13/0.39 # ...subsumed : 0
% 0.13/0.39 # ...remaining for further processing : 16
% 0.13/0.39 # Other redundant clauses eliminated : 0
% 0.13/0.39 # Clauses deleted for lack of memory : 0
% 0.13/0.39 # Backward-subsumed : 0
% 0.13/0.39 # Backward-rewritten : 1
% 0.13/0.39 # Generated clauses : 23
% 0.13/0.39 # ...of the previous two non-redundant : 16
% 0.13/0.39 # ...aggressively subsumed : 0
% 0.13/0.39 # Contextual simplify-reflections : 0
% 0.13/0.39 # Paramodulations : 23
% 0.13/0.39 # Factorizations : 0
% 0.13/0.39 # NegExts : 0
% 0.13/0.39 # Equation resolutions : 0
% 0.13/0.39 # Total rewrite steps : 17
% 0.13/0.39 # Propositional unsat checks : 0
% 0.13/0.39 # Propositional check models : 0
% 0.13/0.39 # Propositional check unsatisfiable : 0
% 0.13/0.39 # Propositional clauses : 0
% 0.13/0.39 # Propositional clauses after purity: 0
% 0.13/0.39 # Propositional unsat core size : 0
% 0.13/0.39 # Propositional preprocessing time : 0.000
% 0.13/0.39 # Propositional encoding time : 0.000
% 0.13/0.39 # Propositional solver time : 0.000
% 0.13/0.39 # Success case prop preproc time : 0.000
% 0.13/0.39 # Success case prop encoding time : 0.000
% 0.13/0.39 # Success case prop solver time : 0.000
% 0.13/0.39 # Current number of processed clauses : 10
% 0.13/0.39 # Positive orientable unit clauses : 9
% 0.13/0.39 # Positive unorientable unit clauses: 0
% 0.13/0.39 # Negative unit clauses : 1
% 0.13/0.39 # Non-unit-clauses : 0
% 0.13/0.39 # Current number of unprocessed clauses: 7
% 0.13/0.39 # ...number of literals in the above : 7
% 0.13/0.39 # Current number of archived formulas : 0
% 0.13/0.39 # Current number of archived clauses : 6
% 0.13/0.39 # Clause-clause subsumption calls (NU) : 0
% 0.13/0.39 # Rec. Clause-clause subsumption calls : 0
% 0.13/0.39 # Non-unit clause-clause subsumptions : 0
% 0.13/0.39 # Unit Clause-clause subsumption calls : 0
% 0.13/0.39 # Rewrite failures with RHS unbound : 0
% 0.13/0.39 # BW rewrite match attempts : 1
% 0.13/0.39 # BW rewrite match successes : 1
% 0.13/0.39 # Condensation attempts : 0
% 0.13/0.39 # Condensation successes : 0
% 0.13/0.39 # Termbank termtop insertions : 248
% 0.13/0.39
% 0.13/0.39 # -------------------------------------------------
% 0.13/0.39 # User time : 0.002 s
% 0.13/0.39 # System time : 0.000 s
% 0.13/0.39 # Total time : 0.003 s
% 0.13/0.39 # Maximum resident set size: 1420 pages
% 0.13/0.39
% 0.13/0.39 # -------------------------------------------------
% 0.13/0.39 # User time : 0.003 s
% 0.13/0.39 # System time : 0.003 s
% 0.13/0.39 # Total time : 0.005 s
% 0.13/0.39 # Maximum resident set size: 1668 pages
% 0.13/0.39 % E---3.1 exiting
%------------------------------------------------------------------------------