TSTP Solution File: GRP461-1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP461-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n031.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 17:48:38 EDT 2023
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 4 RR)
% Number of literals : 20 ( 19 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(multiply,axiom,
multiply(X1,X2) = divide(X1,divide(identity,X2)),
file('/export/starexec/sandbox/tmp/tmp.SeF6V9vaqg/E---3.1_25144.p',multiply) ).
cnf(inverse,axiom,
inverse(X1) = divide(identity,X1),
file('/export/starexec/sandbox/tmp/tmp.SeF6V9vaqg/E---3.1_25144.p',inverse) ).
cnf(identity,axiom,
identity = divide(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.SeF6V9vaqg/E---3.1_25144.p',identity) ).
cnf(single_axiom,axiom,
divide(X1,divide(divide(divide(identity,X2),X3),divide(divide(divide(X1,X1),X1),X3))) = X2,
file('/export/starexec/sandbox/tmp/tmp.SeF6V9vaqg/E---3.1_25144.p',single_axiom) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox/tmp/tmp.SeF6V9vaqg/E---3.1_25144.p',prove_these_axioms_2) ).
cnf(c_0_5,axiom,
multiply(X1,X2) = divide(X1,divide(identity,X2)),
multiply ).
cnf(c_0_6,axiom,
inverse(X1) = divide(identity,X1),
inverse ).
cnf(c_0_7,axiom,
identity = divide(X1,X1),
identity ).
cnf(c_0_8,axiom,
divide(X1,divide(divide(divide(identity,X2),X3),divide(divide(divide(X1,X1),X1),X3))) = X2,
single_axiom ).
cnf(c_0_9,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_11,plain,
divide(X1,divide(divide(inverse(X2),X3),divide(inverse(X1),X3))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_6]),c_0_7]),c_0_6]) ).
cnf(c_0_12,plain,
divide(X1,identity) = multiply(X1,identity),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_7]),c_0_9]),c_0_6]),c_0_9]) ).
cnf(c_0_14,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_7]),c_0_12]) ).
cnf(c_0_15,plain,
multiply(X1,inverse(X1)) = identity,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
inverse(inverse(X1)) = multiply(identity,X1),
inference(spm,[status(thm)],[c_0_6,c_0_9]) ).
cnf(c_0_17,negated_conjecture,
multiply(identity,a2) != a2,
prove_these_axioms_2 ).
cnf(c_0_18,plain,
multiply(identity,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_15]),c_0_14]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP461-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.09 % Command : run_E %s %d THM
% 0.08/0.28 % Computer : n031.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 2400
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue Oct 3 02:50:13 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.12/0.36 Running first-order model finding
% 0.12/0.36 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.SeF6V9vaqg/E---3.1_25144.p
% 0.12/0.37 # Version: 3.1pre001
% 0.12/0.37 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.37 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.37 # Starting new_bool_3 with 300s (1) cores
% 0.12/0.37 # Starting new_bool_1 with 300s (1) cores
% 0.12/0.37 # Starting sh5l with 300s (1) cores
% 0.12/0.37 # sh5l with pid 25224 completed with status 0
% 0.12/0.37 # Result found by sh5l
% 0.12/0.37 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.37 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.37 # Starting new_bool_3 with 300s (1) cores
% 0.12/0.37 # Starting new_bool_1 with 300s (1) cores
% 0.12/0.37 # Starting sh5l with 300s (1) cores
% 0.12/0.37 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.12/0.37 # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.12/0.37 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.37 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 0.12/0.37 # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 25230 completed with status 0
% 0.12/0.37 # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 0.12/0.37 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.12/0.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.37 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.12/0.37 # Starting new_bool_3 with 300s (1) cores
% 0.12/0.37 # Starting new_bool_1 with 300s (1) cores
% 0.12/0.37 # Starting sh5l with 300s (1) cores
% 0.12/0.37 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.12/0.37 # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.12/0.37 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.37 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 0.12/0.37 # Preprocessing time : 0.001 s
% 0.12/0.37 # Presaturation interreduction done
% 0.12/0.37
% 0.12/0.37 # Proof found!
% 0.12/0.37 # SZS status Unsatisfiable
% 0.12/0.37 # SZS output start CNFRefutation
% See solution above
% 0.12/0.37 # Parsed axioms : 5
% 0.12/0.37 # Removed by relevancy pruning/SinE : 0
% 0.12/0.37 # Initial clauses : 5
% 0.12/0.37 # Removed in clause preprocessing : 0
% 0.12/0.37 # Initial clauses in saturation : 5
% 0.12/0.37 # Processed clauses : 23
% 0.12/0.37 # ...of these trivial : 0
% 0.12/0.37 # ...subsumed : 0
% 0.12/0.37 # ...remaining for further processing : 23
% 0.12/0.37 # Other redundant clauses eliminated : 0
% 0.12/0.37 # Clauses deleted for lack of memory : 0
% 0.12/0.37 # Backward-subsumed : 0
% 0.12/0.37 # Backward-rewritten : 7
% 0.12/0.37 # Generated clauses : 58
% 0.12/0.37 # ...of the previous two non-redundant : 37
% 0.12/0.37 # ...aggressively subsumed : 0
% 0.12/0.37 # Contextual simplify-reflections : 0
% 0.12/0.37 # Paramodulations : 58
% 0.12/0.37 # Factorizations : 0
% 0.12/0.37 # NegExts : 0
% 0.12/0.37 # Equation resolutions : 0
% 0.12/0.37 # Total rewrite steps : 89
% 0.12/0.37 # Propositional unsat checks : 0
% 0.12/0.37 # Propositional check models : 0
% 0.12/0.37 # Propositional check unsatisfiable : 0
% 0.12/0.37 # Propositional clauses : 0
% 0.12/0.37 # Propositional clauses after purity: 0
% 0.12/0.37 # Propositional unsat core size : 0
% 0.12/0.37 # Propositional preprocessing time : 0.000
% 0.12/0.37 # Propositional encoding time : 0.000
% 0.12/0.37 # Propositional solver time : 0.000
% 0.12/0.37 # Success case prop preproc time : 0.000
% 0.12/0.37 # Success case prop encoding time : 0.000
% 0.12/0.37 # Success case prop solver time : 0.000
% 0.12/0.37 # Current number of processed clauses : 11
% 0.12/0.37 # Positive orientable unit clauses : 11
% 0.12/0.37 # Positive unorientable unit clauses: 0
% 0.12/0.37 # Negative unit clauses : 0
% 0.12/0.37 # Non-unit-clauses : 0
% 0.12/0.37 # Current number of unprocessed clauses: 22
% 0.12/0.37 # ...number of literals in the above : 22
% 0.12/0.37 # Current number of archived formulas : 0
% 0.12/0.37 # Current number of archived clauses : 12
% 0.12/0.37 # Clause-clause subsumption calls (NU) : 0
% 0.12/0.37 # Rec. Clause-clause subsumption calls : 0
% 0.12/0.37 # Non-unit clause-clause subsumptions : 0
% 0.12/0.37 # Unit Clause-clause subsumption calls : 0
% 0.12/0.37 # Rewrite failures with RHS unbound : 0
% 0.12/0.37 # BW rewrite match attempts : 9
% 0.12/0.37 # BW rewrite match successes : 6
% 0.12/0.37 # Condensation attempts : 0
% 0.12/0.37 # Condensation successes : 0
% 0.12/0.37 # Termbank termtop insertions : 620
% 0.12/0.37
% 0.12/0.37 # -------------------------------------------------
% 0.12/0.37 # User time : 0.001 s
% 0.12/0.37 # System time : 0.002 s
% 0.12/0.37 # Total time : 0.002 s
% 0.12/0.37 # Maximum resident set size: 1420 pages
% 0.12/0.37
% 0.12/0.37 # -------------------------------------------------
% 0.12/0.37 # User time : 0.002 s
% 0.12/0.37 # System time : 0.003 s
% 0.12/0.37 # Total time : 0.005 s
% 0.12/0.37 # Maximum resident set size: 1672 pages
% 0.12/0.37 % E---3.1 exiting
%------------------------------------------------------------------------------