TSTP Solution File: ALG245-1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ALG245-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 18:12:54 EDT 2024
% Result : Unsatisfiable 1.69s 0.69s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 18 unt; 0 nHn; 4 RR)
% Number of literals : 18 ( 17 equ; 3 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; 4 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c02,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),mult(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
cnf(c03,axiom,
mult(mult(mult(X1,X2),mult(X3,X4)),mult(mult(mult(X1,X2),mult(X3,X4)),mult(mult(X1,X3),mult(X2,X4)))) = mult(mult(X1,X3),mult(X2,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
cnf(c01,axiom,
mult(X1,mult(X2,X3)) = mult(mult(X1,X2),mult(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
cnf(c05,axiom,
mult(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
cnf(c04,axiom,
mult(mult(mult(mult(X1,X2),mult(X3,X4)),mult(mult(X1,X3),mult(X2,X4))),mult(mult(X1,X3),mult(X2,X4))) = mult(mult(X1,X2),mult(X3,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
cnf(goals,negated_conjecture,
mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) != mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c_0_6,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),mult(X2,X3)),
c02 ).
cnf(c_0_7,axiom,
mult(mult(mult(X1,X2),mult(X3,X4)),mult(mult(mult(X1,X2),mult(X3,X4)),mult(mult(X1,X3),mult(X2,X4)))) = mult(mult(X1,X3),mult(X2,X4)),
c03 ).
cnf(c_0_8,axiom,
mult(X1,mult(X2,X3)) = mult(mult(X1,X2),mult(X1,X3)),
c01 ).
cnf(c_0_9,axiom,
mult(X1,X1) = X1,
c05 ).
cnf(c_0_10,plain,
mult(mult(mult(X1,X2),mult(X3,X4)),mult(X5,mult(mult(mult(X1,X3),mult(X2,X4)),mult(mult(X1,X2),mult(X3,X4))))) = mult(mult(mult(X1,X3),mult(X2,X4)),mult(X5,mult(mult(X1,X2),mult(X3,X4)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_11,axiom,
mult(mult(mult(mult(X1,X2),mult(X3,X4)),mult(mult(X1,X3),mult(X2,X4))),mult(mult(X1,X3),mult(X2,X4))) = mult(mult(X1,X2),mult(X3,X4)),
c04 ).
cnf(c_0_12,negated_conjecture,
mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) != mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))),
inference(fof_simplification,[status(thm)],[goals]) ).
cnf(c_0_13,plain,
mult(mult(X1,X2),X1) = mult(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
mult(mult(mult(X1,X2),mult(X3,X4)),mult(mult(mult(X1,X3),mult(X2,X4)),mult(mult(X1,X2),mult(X3,X4)))) = mult(mult(X1,X3),mult(X2,X4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_9]),c_0_11]),c_0_9]) ).
cnf(c_0_15,negated_conjecture,
mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) != mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))),
c_0_12 ).
cnf(c_0_16,plain,
mult(mult(mult(X1,X2),mult(X3,X4)),mult(mult(X1,X3),mult(X2,X4))) = mult(mult(mult(X1,X3),mult(X2,X4)),mult(mult(X1,X2),mult(X3,X4))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_11]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG245-1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 23:00:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.22/0.48 Running first-order model finding
% 0.22/0.48 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
% 1.69/0.69 # Version: 3.1.0
% 1.69/0.69 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.69/0.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.69/0.69 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.69/0.69 # Starting new_bool_3 with 300s (1) cores
% 1.69/0.69 # Starting new_bool_1 with 300s (1) cores
% 1.69/0.69 # Starting sh5l with 300s (1) cores
% 1.69/0.69 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 7110 completed with status 0
% 1.69/0.69 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 1.69/0.69 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.69/0.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.69/0.69 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.69/0.69 # No SInE strategy applied
% 1.69/0.69 # Search class: FUUPM-FFSF22-MFFFFFNN
% 1.69/0.69 # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 1.69/0.69 # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 1.69/0.69 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 1.69/0.69 # Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.69/0.69 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.69/0.69 # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 136s (1) cores
% 1.69/0.69 # U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 7118 completed with status 0
% 1.69/0.69 # Result found by U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 1.69/0.69 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.69/0.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.69/0.69 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.69/0.69 # No SInE strategy applied
% 1.69/0.69 # Search class: FUUPM-FFSF22-MFFFFFNN
% 1.69/0.69 # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 1.69/0.69 # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 1.69/0.69 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 1.69/0.69 # Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.69/0.69 # Preprocessing time : 0.001 s
% 1.69/0.69 # Presaturation interreduction done
% 1.69/0.69
% 1.69/0.69 # Proof found!
% 1.69/0.69 # SZS status Unsatisfiable
% 1.69/0.69 # SZS output start CNFRefutation
% See solution above
% 1.69/0.69 # Parsed axioms : 6
% 1.69/0.69 # Removed by relevancy pruning/SinE : 0
% 1.69/0.69 # Initial clauses : 6
% 1.69/0.69 # Removed in clause preprocessing : 0
% 1.69/0.69 # Initial clauses in saturation : 6
% 1.69/0.69 # Processed clauses : 67
% 1.69/0.69 # ...of these trivial : 4
% 1.69/0.69 # ...subsumed : 8
% 1.69/0.69 # ...remaining for further processing : 55
% 1.69/0.69 # Other redundant clauses eliminated : 0
% 1.69/0.69 # Clauses deleted for lack of memory : 0
% 1.69/0.69 # Backward-subsumed : 0
% 1.69/0.69 # Backward-rewritten : 5
% 1.69/0.69 # Generated clauses : 9499
% 1.69/0.69 # ...of the previous two non-redundant : 7329
% 1.69/0.69 # ...aggressively subsumed : 0
% 1.69/0.69 # Contextual simplify-reflections : 0
% 1.69/0.69 # Paramodulations : 9499
% 1.69/0.69 # Factorizations : 0
% 1.69/0.69 # NegExts : 0
% 1.69/0.69 # Equation resolutions : 0
% 1.69/0.69 # Disequality decompositions : 0
% 1.69/0.69 # Total rewrite steps : 14505
% 1.69/0.69 # ...of those cached : 12108
% 1.69/0.69 # Propositional unsat checks : 0
% 1.69/0.69 # Propositional check models : 0
% 1.69/0.69 # Propositional check unsatisfiable : 0
% 1.69/0.69 # Propositional clauses : 0
% 1.69/0.69 # Propositional clauses after purity: 0
% 1.69/0.69 # Propositional unsat core size : 0
% 1.69/0.69 # Propositional preprocessing time : 0.000
% 1.69/0.69 # Propositional encoding time : 0.000
% 1.69/0.69 # Propositional solver time : 0.000
% 1.69/0.69 # Success case prop preproc time : 0.000
% 1.69/0.69 # Success case prop encoding time : 0.000
% 1.69/0.69 # Success case prop solver time : 0.000
% 1.69/0.69 # Current number of processed clauses : 44
% 1.69/0.69 # Positive orientable unit clauses : 39
% 1.69/0.69 # Positive unorientable unit clauses: 5
% 1.69/0.69 # Negative unit clauses : 0
% 1.69/0.69 # Non-unit-clauses : 0
% 1.69/0.69 # Current number of unprocessed clauses: 7273
% 1.69/0.69 # ...number of literals in the above : 7273
% 1.69/0.69 # Current number of archived formulas : 0
% 1.69/0.69 # Current number of archived clauses : 11
% 1.69/0.69 # Clause-clause subsumption calls (NU) : 0
% 1.69/0.69 # Rec. Clause-clause subsumption calls : 0
% 1.69/0.69 # Non-unit clause-clause subsumptions : 0
% 1.69/0.69 # Unit Clause-clause subsumption calls : 80
% 1.69/0.69 # Rewrite failures with RHS unbound : 0
% 1.69/0.69 # BW rewrite match attempts : 472
% 1.69/0.69 # BW rewrite match successes : 13
% 1.69/0.69 # Condensation attempts : 0
% 1.69/0.69 # Condensation successes : 0
% 1.69/0.69 # Termbank termtop insertions : 247752
% 1.69/0.69 # Search garbage collected termcells : 2
% 1.69/0.69
% 1.69/0.69 # -------------------------------------------------
% 1.69/0.69 # User time : 0.186 s
% 1.69/0.69 # System time : 0.011 s
% 1.69/0.69 # Total time : 0.197 s
% 1.69/0.69 # Maximum resident set size: 1544 pages
% 1.69/0.69
% 1.69/0.69 # -------------------------------------------------
% 1.69/0.69 # User time : 0.930 s
% 1.69/0.69 # System time : 0.045 s
% 1.69/0.69 # Total time : 0.975 s
% 1.69/0.69 # Maximum resident set size: 1684 pages
% 1.69/0.69 % E---3.1 exiting
%------------------------------------------------------------------------------