TSTP Solution File: COL042-7 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : COL042-7 : TPTP v8.2.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 19:02:57 EDT 2024
% Result : Unsatisfiable 4.59s 1.06s
% Output : CNFRefutation 4.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 6 RR)
% Number of literals : 16 ( 15 equ; 3 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; 4 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(w1_definition,axiom,
apply(apply(w1,X1),X2) = apply(apply(X2,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w1_definition) ).
cnf(b_definition,axiom,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
cnf(strong_fixed_point,axiom,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point) ).
cnf(prove_strong_fixed_point,negated_conjecture,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
cnf(c_0_4,axiom,
apply(apply(w1,X1),X2) = apply(apply(X2,X1),X1),
w1_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(apply(w1,X1),apply(apply(b,X2),X3)) = apply(apply(X2,apply(X3,X1)),X1),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,plain,
apply(apply(w1,X1),apply(apply(b,apply(b,X2)),X3)) = apply(X2,apply(apply(X3,X1),X1)),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,plain,
apply(apply(w1,X1),apply(apply(b,apply(b,X2)),X3)) = apply(X2,apply(apply(w1,X1),X3)),
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
cnf(c_0_9,axiom,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),
strong_fixed_point ).
cnf(c_0_10,negated_conjecture,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
inference(fof_simplification,[status(thm)],[prove_strong_fixed_point]) ).
cnf(c_0_11,plain,
apply(X1,apply(apply(w1,apply(apply(b,apply(b,X1)),X2)),X2)) = apply(apply(w1,apply(apply(b,apply(b,X1)),X2)),w1),
inference(spm,[status(thm)],[c_0_4,c_0_8]) ).
cnf(c_0_12,plain,
apply(apply(w1,apply(apply(b,apply(b,X1)),w1)),w1) = apply(strong_fixed_point,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_9]),c_0_5]),c_0_5]),c_0_6]) ).
cnf(c_0_13,negated_conjecture,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
c_0_10 ).
cnf(c_0_14,plain,
apply(X1,apply(strong_fixed_point,X1)) = apply(strong_fixed_point,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_12]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COL042-7 : TPTP v8.2.0. Released v2.1.0.
% 0.10/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n013.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 13:12:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.22/0.49 Running first-order model finding
% 0.22/0.49 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/benchmark/theBenchmark.p
% 4.59/1.06 # Version: 3.1.0
% 4.59/1.06 # Preprocessing class: FSSSSMSSSSSNFFN.
% 4.59/1.06 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.59/1.06 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 4.59/1.06 # Starting new_bool_3 with 300s (1) cores
% 4.59/1.06 # Starting new_bool_1 with 300s (1) cores
% 4.59/1.06 # Starting sh5l with 300s (1) cores
% 4.59/1.06 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 21799 completed with status 0
% 4.59/1.06 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 4.59/1.06 # Preprocessing class: FSSSSMSSSSSNFFN.
% 4.59/1.06 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.59/1.06 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 4.59/1.06 # No SInE strategy applied
% 4.59/1.06 # Search class: FUUPS-FFSF22-MFFFFFNN
% 4.59/1.06 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.59/1.06 # Starting G-E--_208_C18_F1_AE_CS_SP_S0Y with 811s (1) cores
% 4.59/1.06 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 4.59/1.06 # Starting new_bool_3 with 136s (1) cores
% 4.59/1.06 # Starting new_bool_1 with 136s (1) cores
% 4.59/1.06 # Starting sh5l with 136s (1) cores
% 4.59/1.06 # G-E--_208_C18_F1_AE_CS_SP_S0Y with pid 21803 completed with status 0
% 4.59/1.06 # Result found by G-E--_208_C18_F1_AE_CS_SP_S0Y
% 4.59/1.06 # Preprocessing class: FSSSSMSSSSSNFFN.
% 4.59/1.06 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.59/1.06 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 4.59/1.06 # No SInE strategy applied
% 4.59/1.06 # Search class: FUUPS-FFSF22-MFFFFFNN
% 4.59/1.06 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.59/1.06 # Starting G-E--_208_C18_F1_AE_CS_SP_S0Y with 811s (1) cores
% 4.59/1.06 # Preprocessing time : 0.001 s
% 4.59/1.06
% 4.59/1.06 # Proof found!
% 4.59/1.06 # SZS status Unsatisfiable
% 4.59/1.06 # SZS output start CNFRefutation
% See solution above
% 4.59/1.06 # Parsed axioms : 4
% 4.59/1.06 # Removed by relevancy pruning/SinE : 0
% 4.59/1.06 # Initial clauses : 4
% 4.59/1.06 # Removed in clause preprocessing : 0
% 4.59/1.06 # Initial clauses in saturation : 4
% 4.59/1.06 # Processed clauses : 771
% 4.59/1.06 # ...of these trivial : 273
% 4.59/1.06 # ...subsumed : 247
% 4.59/1.06 # ...remaining for further processing : 251
% 4.59/1.06 # Other redundant clauses eliminated : 0
% 4.59/1.06 # Clauses deleted for lack of memory : 0
% 4.59/1.06 # Backward-subsumed : 1
% 4.59/1.06 # Backward-rewritten : 35
% 4.59/1.06 # Generated clauses : 34616
% 4.59/1.06 # ...of the previous two non-redundant : 33435
% 4.59/1.06 # ...aggressively subsumed : 0
% 4.59/1.06 # Contextual simplify-reflections : 0
% 4.59/1.06 # Paramodulations : 34616
% 4.59/1.06 # Factorizations : 0
% 4.59/1.06 # NegExts : 0
% 4.59/1.06 # Equation resolutions : 0
% 4.59/1.06 # Disequality decompositions : 0
% 4.59/1.06 # Total rewrite steps : 26125
% 4.59/1.06 # ...of those cached : 20920
% 4.59/1.06 # Propositional unsat checks : 0
% 4.59/1.06 # Propositional check models : 0
% 4.59/1.06 # Propositional check unsatisfiable : 0
% 4.59/1.06 # Propositional clauses : 0
% 4.59/1.06 # Propositional clauses after purity: 0
% 4.59/1.06 # Propositional unsat core size : 0
% 4.59/1.06 # Propositional preprocessing time : 0.000
% 4.59/1.06 # Propositional encoding time : 0.000
% 4.59/1.06 # Propositional solver time : 0.000
% 4.59/1.06 # Success case prop preproc time : 0.000
% 4.59/1.06 # Success case prop encoding time : 0.000
% 4.59/1.06 # Success case prop solver time : 0.000
% 4.59/1.06 # Current number of processed clauses : 215
% 4.59/1.06 # Positive orientable unit clauses : 158
% 4.59/1.06 # Positive unorientable unit clauses: 57
% 4.59/1.06 # Negative unit clauses : 0
% 4.59/1.06 # Non-unit-clauses : 0
% 4.59/1.06 # Current number of unprocessed clauses: 32572
% 4.59/1.06 # ...number of literals in the above : 32572
% 4.59/1.06 # Current number of archived formulas : 0
% 4.59/1.06 # Current number of archived clauses : 36
% 4.59/1.06 # Clause-clause subsumption calls (NU) : 0
% 4.59/1.06 # Rec. Clause-clause subsumption calls : 0
% 4.59/1.06 # Non-unit clause-clause subsumptions : 0
% 4.59/1.06 # Unit Clause-clause subsumption calls : 2515
% 4.59/1.06 # Rewrite failures with RHS unbound : 0
% 4.59/1.06 # BW rewrite match attempts : 7215
% 4.59/1.06 # BW rewrite match successes : 269
% 4.59/1.06 # Condensation attempts : 0
% 4.59/1.06 # Condensation successes : 0
% 4.59/1.06 # Termbank termtop insertions : 1185196
% 4.59/1.06 # Search garbage collected termcells : 2
% 4.59/1.06
% 4.59/1.06 # -------------------------------------------------
% 4.59/1.06 # User time : 0.540 s
% 4.59/1.06 # System time : 0.023 s
% 4.59/1.06 # Total time : 0.563 s
% 4.59/1.06 # Maximum resident set size: 1540 pages
% 4.59/1.06
% 4.59/1.06 # -------------------------------------------------
% 4.59/1.06 # User time : 2.744 s
% 4.59/1.06 # System time : 0.054 s
% 4.59/1.06 # Total time : 2.798 s
% 4.59/1.06 # Maximum resident set size: 1684 pages
% 4.59/1.06 % E---3.1 exiting
%------------------------------------------------------------------------------