TSTP Solution File: LAT091-1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT091-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 18:07:49 EDT 2023
% Result : Unsatisfiable 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of clauses : 40 ( 40 unt; 0 nHn; 3 RR)
% Number of literals : 40 ( 39 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 76 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wal_absorbtion_4,axiom,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
file('/export/starexec/sandbox2/tmp/tmp.zgZNZx4nN3/E---3.1_3644.p',wal_absorbtion_4) ).
cnf(wal_absorbtion_5,axiom,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
file('/export/starexec/sandbox2/tmp/tmp.zgZNZx4nN3/E---3.1_3644.p',wal_absorbtion_5) ).
cnf(wal_absorbtion_1,axiom,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
file('/export/starexec/sandbox2/tmp/tmp.zgZNZx4nN3/E---3.1_3644.p',wal_absorbtion_1) ).
cnf(wal_absorbtion_3,axiom,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
file('/export/starexec/sandbox2/tmp/tmp.zgZNZx4nN3/E---3.1_3644.p',wal_absorbtion_3) ).
cnf(wal_absorbtion_2,axiom,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
file('/export/starexec/sandbox2/tmp/tmp.zgZNZx4nN3/E---3.1_3644.p',wal_absorbtion_2) ).
cnf(prove_normal_axioms_4,negated_conjecture,
join(b,a) != join(a,b),
file('/export/starexec/sandbox2/tmp/tmp.zgZNZx4nN3/E---3.1_3644.p',prove_normal_axioms_4) ).
cnf(c_0_6,axiom,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
wal_absorbtion_4 ).
cnf(c_0_7,axiom,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
wal_absorbtion_5 ).
cnf(c_0_8,plain,
meet(meet(join(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,axiom,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
wal_absorbtion_1 ).
cnf(c_0_10,plain,
meet(meet(X1,meet(X1,X2)),meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,plain,
join(join(meet(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_12,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_6]),c_0_6]) ).
cnf(c_0_13,axiom,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
wal_absorbtion_3 ).
cnf(c_0_14,plain,
join(join(X1,X1),X1) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
meet(join(X1,X1),X1) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_12]) ).
cnf(c_0_16,axiom,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
wal_absorbtion_2 ).
cnf(c_0_17,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_12]) ).
cnf(c_0_18,plain,
join(X1,meet(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_12]),c_0_17]) ).
cnf(c_0_19,plain,
join(meet(X1,meet(X2,X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_18]),c_0_12]) ).
cnf(c_0_20,plain,
meet(meet(X1,meet(X2,X1)),meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_8,c_0_13]) ).
cnf(c_0_21,plain,
meet(meet(X1,meet(X2,X1)),X1) = meet(X1,meet(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_19]),c_0_17]) ).
cnf(c_0_22,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_20]),c_0_18]),c_0_18]) ).
cnf(c_0_23,plain,
meet(meet(X1,X2),X2) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_22]) ).
cnf(c_0_24,plain,
meet(join(X1,X2),X1) = X1,
inference(rw,[status(thm)],[c_0_8,c_0_23]) ).
cnf(c_0_25,plain,
meet(meet(X1,join(X2,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_17]) ).
cnf(c_0_26,plain,
meet(X1,join(meet(X1,X2),X1)) = join(meet(X1,X2),X1),
inference(spm,[status(thm)],[c_0_24,c_0_11]) ).
cnf(c_0_27,plain,
meet(join(meet(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,plain,
join(meet(X1,X2),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_27]),c_0_11]),c_0_27]),c_0_17]) ).
cnf(c_0_29,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_28]),c_0_17]) ).
cnf(c_0_30,plain,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_7,c_0_22]) ).
cnf(c_0_31,plain,
meet(X1,join(X2,X1)) = X1,
inference(rw,[status(thm)],[c_0_25,c_0_29]) ).
cnf(c_0_32,plain,
join(X1,meet(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_29]) ).
cnf(c_0_33,plain,
join(join(X1,meet(X2,join(X3,X1))),join(X3,X1)) = join(X3,X1),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,plain,
meet(X1,join(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_29,c_0_24]) ).
cnf(c_0_35,plain,
join(join(X1,X2),X1) = join(X1,X2),
inference(spm,[status(thm)],[c_0_32,c_0_24]) ).
cnf(c_0_36,plain,
join(join(X1,X2),join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
join(b,a) != join(a,b),
prove_normal_axioms_4 ).
cnf(c_0_38,plain,
join(X1,X2) = join(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_36]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LAT091-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n006.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 10:26:40 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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.zgZNZx4nN3/E---3.1_3644.p
% 0.16/0.44 # Version: 3.1pre001
% 0.16/0.44 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44 # Starting sh5l with 300s (1) cores
% 0.16/0.44 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3732 completed with status 0
% 0.16/0.44 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.16/0.44 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.44 # No SInE strategy applied
% 0.16/0.44 # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.16/0.44 # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.44 # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 0.16/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.16/0.44 # Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/0.44 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/0.44 # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.16/0.44 # U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3741 completed with status 0
% 0.16/0.44 # Result found by U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.44 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.44 # No SInE strategy applied
% 0.16/0.44 # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.16/0.44 # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.44 # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 0.16/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.16/0.44 # Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/0.44 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/0.44 # Preprocessing time : 0.001 s
% 0.16/0.44 # Presaturation interreduction done
% 0.16/0.44
% 0.16/0.44 # Proof found!
% 0.16/0.44 # SZS status Unsatisfiable
% 0.16/0.44 # SZS output start CNFRefutation
% See solution above
% 0.16/0.44 # Parsed axioms : 6
% 0.16/0.44 # Removed by relevancy pruning/SinE : 0
% 0.16/0.44 # Initial clauses : 6
% 0.16/0.44 # Removed in clause preprocessing : 0
% 0.16/0.44 # Initial clauses in saturation : 6
% 0.16/0.44 # Processed clauses : 110
% 0.16/0.44 # ...of these trivial : 29
% 0.16/0.44 # ...subsumed : 5
% 0.16/0.44 # ...remaining for further processing : 76
% 0.16/0.44 # Other redundant clauses eliminated : 0
% 0.16/0.44 # Clauses deleted for lack of memory : 0
% 0.16/0.44 # Backward-subsumed : 0
% 0.16/0.44 # Backward-rewritten : 44
% 0.16/0.44 # Generated clauses : 2080
% 0.16/0.44 # ...of the previous two non-redundant : 661
% 0.16/0.44 # ...aggressively subsumed : 0
% 0.16/0.44 # Contextual simplify-reflections : 0
% 0.16/0.44 # Paramodulations : 2080
% 0.16/0.44 # Factorizations : 0
% 0.16/0.44 # NegExts : 0
% 0.16/0.44 # Equation resolutions : 0
% 0.16/0.44 # Total rewrite steps : 2607
% 0.16/0.44 # Propositional unsat checks : 0
% 0.16/0.44 # Propositional check models : 0
% 0.16/0.44 # Propositional check unsatisfiable : 0
% 0.16/0.44 # Propositional clauses : 0
% 0.16/0.44 # Propositional clauses after purity: 0
% 0.16/0.44 # Propositional unsat core size : 0
% 0.16/0.44 # Propositional preprocessing time : 0.000
% 0.16/0.44 # Propositional encoding time : 0.000
% 0.16/0.44 # Propositional solver time : 0.000
% 0.16/0.44 # Success case prop preproc time : 0.000
% 0.16/0.44 # Success case prop encoding time : 0.000
% 0.16/0.44 # Success case prop solver time : 0.000
% 0.16/0.44 # Current number of processed clauses : 26
% 0.16/0.44 # Positive orientable unit clauses : 24
% 0.16/0.44 # Positive unorientable unit clauses: 2
% 0.16/0.44 # Negative unit clauses : 0
% 0.16/0.44 # Non-unit-clauses : 0
% 0.16/0.44 # Current number of unprocessed clauses: 514
% 0.16/0.44 # ...number of literals in the above : 514
% 0.16/0.44 # Current number of archived formulas : 0
% 0.16/0.44 # Current number of archived clauses : 50
% 0.16/0.44 # Clause-clause subsumption calls (NU) : 0
% 0.16/0.44 # Rec. Clause-clause subsumption calls : 0
% 0.16/0.44 # Non-unit clause-clause subsumptions : 0
% 0.16/0.44 # Unit Clause-clause subsumption calls : 33
% 0.16/0.44 # Rewrite failures with RHS unbound : 0
% 0.16/0.44 # BW rewrite match attempts : 262
% 0.16/0.44 # BW rewrite match successes : 150
% 0.16/0.44 # Condensation attempts : 0
% 0.16/0.44 # Condensation successes : 0
% 0.16/0.44 # Termbank termtop insertions : 13580
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.011 s
% 0.16/0.44 # System time : 0.003 s
% 0.16/0.44 # Total time : 0.014 s
% 0.16/0.44 # Maximum resident set size: 1512 pages
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.059 s
% 0.16/0.44 # System time : 0.012 s
% 0.16/0.44 # Total time : 0.071 s
% 0.16/0.44 # Maximum resident set size: 1672 pages
% 0.16/0.44 % E---3.1 exiting
% 0.16/0.44 % E---3.1 exiting
%------------------------------------------------------------------------------