TSTP Solution File: COL046-1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : COL046-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Sat May 4 07:28:07 EDT 2024
% Result : Unsatisfiable 12.55s 2.07s
% Output : CNFRefutation 12.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 5 RR)
% Number of literals : 17 ( 16 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 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 : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(m_definition,axiom,
apply(m,X1) = apply(X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.uRnSZe25Pg/E---3.1_21666.p',m_definition) ).
cnf(b_definition,axiom,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.uRnSZe25Pg/E---3.1_21666.p',b_definition) ).
cnf(s_definition,axiom,
apply(apply(apply(s,X1),X2),X3) = apply(apply(X1,X3),apply(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.uRnSZe25Pg/E---3.1_21666.p',s_definition) ).
cnf(prove_fixed_point,negated_conjecture,
apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
file('/export/starexec/sandbox2/tmp/tmp.uRnSZe25Pg/E---3.1_21666.p',prove_fixed_point) ).
cnf(c_0_4,axiom,
apply(m,X1) = apply(X1,X1),
m_definition ).
cnf(c_0_5,axiom,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
b_definition ).
cnf(c_0_6,plain,
apply(m,apply(apply(b,X1),X2)) = apply(X1,apply(X2,apply(apply(b,X1),X2))),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,axiom,
apply(apply(apply(s,X1),X2),X3) = apply(apply(X1,X3),apply(X2,X3)),
s_definition ).
cnf(c_0_8,negated_conjecture,
apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
inference(fof_simplification,[status(thm)],[prove_fixed_point]) ).
cnf(c_0_9,plain,
apply(X1,apply(apply(X2,X1),apply(apply(apply(s,b),X2),X1))) = apply(m,apply(apply(apply(s,b),X2),X1)),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
c_0_8 ).
cnf(c_0_11,plain,
apply(X1,apply(apply(apply(s,X2),apply(apply(s,b),X2)),X1)) = apply(m,apply(apply(apply(s,b),X2),X1)),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_12,plain,
apply(X1,apply(apply(X2,apply(apply(b,apply(b,X1)),X2)),apply(m,apply(apply(b,apply(b,X1)),X2)))) = apply(m,apply(m,apply(apply(b,apply(b,X1)),X2))),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_13,negated_conjecture,
apply(apply(apply(s,X1),apply(apply(s,b),X1)),f(apply(apply(s,X1),apply(apply(s,b),X1)))) != apply(m,apply(apply(apply(s,b),X1),f(apply(apply(s,X1),apply(apply(s,b),X1))))),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
apply(X1,apply(m,apply(m,apply(apply(b,apply(b,X1)),m)))) = apply(m,apply(m,apply(apply(b,apply(b,X1)),m))),
inference(spm,[status(thm)],[c_0_12,c_0_4]) ).
cnf(c_0_15,plain,
apply(apply(apply(s,X1),X1),X2) = apply(m,apply(X1,X2)),
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COL046-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Fri May 3 12:00:06 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.51 Running first-order theorem proving
% 0.20/0.51 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.uRnSZe25Pg/E---3.1_21666.p
% 12.55/2.07 # Version: 3.1.0
% 12.55/2.07 # Preprocessing class: FSSSSMSSSSSNFFN.
% 12.55/2.07 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.55/2.07 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 12.55/2.07 # Starting new_bool_3 with 300s (1) cores
% 12.55/2.07 # Starting new_bool_1 with 300s (1) cores
% 12.55/2.07 # Starting sh5l with 300s (1) cores
% 12.55/2.07 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 21792 completed with status 0
% 12.55/2.07 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 12.55/2.07 # Preprocessing class: FSSSSMSSSSSNFFN.
% 12.55/2.07 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.55/2.07 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 12.55/2.07 # No SInE strategy applied
% 12.55/2.07 # Search class: FUUPS-FFSF21-MFFFFFNN
% 12.55/2.07 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 12.55/2.07 # Starting U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 12.55/2.07 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 12.55/2.07 # Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 12.55/2.07 # Starting U----_206d_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 12.55/2.07 # Starting U----_206d_02_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 12.55/2.07 # U----_206d_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 21802 completed with status 0
% 12.55/2.07 # Result found by U----_206d_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 12.55/2.07 # Preprocessing class: FSSSSMSSSSSNFFN.
% 12.55/2.07 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.55/2.07 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 12.55/2.07 # No SInE strategy applied
% 12.55/2.07 # Search class: FUUPS-FFSF21-MFFFFFNN
% 12.55/2.07 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 12.55/2.07 # Starting U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 12.55/2.07 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 12.55/2.07 # Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 12.55/2.07 # Starting U----_206d_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 12.55/2.07 # Preprocessing time : 0.001 s
% 12.55/2.07 # Presaturation interreduction done
% 12.55/2.07
% 12.55/2.07 # Proof found!
% 12.55/2.07 # SZS status Unsatisfiable
% 12.55/2.07 # SZS output start CNFRefutation
% See solution above
% 12.55/2.07 # Parsed axioms : 4
% 12.55/2.07 # Removed by relevancy pruning/SinE : 0
% 12.55/2.07 # Initial clauses : 4
% 12.55/2.07 # Removed in clause preprocessing : 0
% 12.55/2.07 # Initial clauses in saturation : 4
% 12.55/2.07 # Processed clauses : 1007
% 12.55/2.07 # ...of these trivial : 281
% 12.55/2.07 # ...subsumed : 517
% 12.55/2.07 # ...remaining for further processing : 209
% 12.55/2.07 # Other redundant clauses eliminated : 0
% 12.55/2.07 # Clauses deleted for lack of memory : 0
% 12.55/2.07 # Backward-subsumed : 4
% 12.55/2.07 # Backward-rewritten : 6
% 12.55/2.07 # Generated clauses : 59577
% 12.55/2.07 # ...of the previous two non-redundant : 58954
% 12.55/2.07 # ...aggressively subsumed : 0
% 12.55/2.07 # Contextual simplify-reflections : 0
% 12.55/2.07 # Paramodulations : 59577
% 12.55/2.07 # Factorizations : 0
% 12.55/2.07 # NegExts : 0
% 12.55/2.07 # Equation resolutions : 0
% 12.55/2.07 # Disequality decompositions : 0
% 12.55/2.07 # Total rewrite steps : 37317
% 12.55/2.07 # ...of those cached : 32169
% 12.55/2.07 # Propositional unsat checks : 0
% 12.55/2.07 # Propositional check models : 0
% 12.55/2.07 # Propositional check unsatisfiable : 0
% 12.55/2.07 # Propositional clauses : 0
% 12.55/2.07 # Propositional clauses after purity: 0
% 12.55/2.07 # Propositional unsat core size : 0
% 12.55/2.07 # Propositional preprocessing time : 0.000
% 12.55/2.07 # Propositional encoding time : 0.000
% 12.55/2.07 # Propositional solver time : 0.000
% 12.55/2.07 # Success case prop preproc time : 0.000
% 12.55/2.07 # Success case prop encoding time : 0.000
% 12.55/2.07 # Success case prop solver time : 0.000
% 12.55/2.07 # Current number of processed clauses : 195
% 12.55/2.07 # Positive orientable unit clauses : 63
% 12.55/2.07 # Positive unorientable unit clauses: 69
% 12.55/2.07 # Negative unit clauses : 63
% 12.55/2.07 # Non-unit-clauses : 0
% 12.55/2.07 # Current number of unprocessed clauses: 57943
% 12.55/2.07 # ...number of literals in the above : 57943
% 12.55/2.07 # Current number of archived formulas : 0
% 12.55/2.07 # Current number of archived clauses : 14
% 12.55/2.07 # Clause-clause subsumption calls (NU) : 0
% 12.55/2.07 # Rec. Clause-clause subsumption calls : 0
% 12.55/2.07 # Non-unit clause-clause subsumptions : 0
% 12.55/2.07 # Unit Clause-clause subsumption calls : 977
% 12.55/2.07 # Rewrite failures with RHS unbound : 0
% 12.55/2.07 # BW rewrite match attempts : 3388
% 12.55/2.07 # BW rewrite match successes : 48
% 12.55/2.07 # Condensation attempts : 0
% 12.55/2.07 # Condensation successes : 0
% 12.55/2.07 # Termbank termtop insertions : 2585520
% 12.55/2.07 # Search garbage collected termcells : 2
% 12.55/2.07
% 12.55/2.07 # -------------------------------------------------
% 12.55/2.07 # User time : 1.465 s
% 12.55/2.07 # System time : 0.054 s
% 12.55/2.07 # Total time : 1.519 s
% 12.55/2.07 # Maximum resident set size: 1548 pages
% 12.55/2.07
% 12.55/2.07 # -------------------------------------------------
% 12.55/2.07 # User time : 7.297 s
% 12.55/2.07 # System time : 0.285 s
% 12.55/2.07 # Total time : 7.582 s
% 12.55/2.07 # Maximum resident set size: 1688 pages
% 12.55/2.07 % E---3.1 exiting
% 12.55/2.08 % E exiting
%------------------------------------------------------------------------------