TSTP Solution File: COL042-8 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : COL042-8 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 07:28:04 EDT 2024
% Result : Unsatisfiable 1.37s 0.72s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 6 RR)
% Number of literals : 17 ( 16 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/tmp/tmp.boZHKbsy7y/E---3.1_17377.p',w1_definition) ).
cnf(b_definition,axiom,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.boZHKbsy7y/E---3.1_17377.p',b_definition) ).
cnf(strong_fixed_point,axiom,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b))),b),
file('/export/starexec/sandbox/tmp/tmp.boZHKbsy7y/E---3.1_17377.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/tmp/tmp.boZHKbsy7y/E---3.1_17377.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)),w1)) = apply(X2,apply(apply(X1,X1),X1)),
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
cnf(c_0_9,plain,
apply(apply(w1,X1),w1) = apply(apply(X1,X1),X1),
inference(spm,[status(thm)],[c_0_4,c_0_4]) ).
cnf(c_0_10,axiom,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b))),b),
strong_fixed_point ).
cnf(c_0_11,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_12,plain,
apply(apply(w1,X1),apply(apply(b,apply(b,X2)),w1)) = apply(X2,apply(apply(w1,X1),w1)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,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_10]),c_0_5]),c_0_5]),c_0_6]) ).
cnf(c_0_14,negated_conjecture,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
c_0_11 ).
cnf(c_0_15,plain,
apply(X1,apply(strong_fixed_point,X1)) = apply(strong_fixed_point,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_12]),c_0_13]),c_0_13]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL042-8 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 11:53:52 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 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 --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.boZHKbsy7y/E---3.1_17377.p
% 1.37/0.71 # Version: 3.1.0
% 1.37/0.71 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.37/0.71 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.37/0.71 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.37/0.71 # Starting new_bool_3 with 300s (1) cores
% 1.37/0.71 # Starting new_bool_1 with 300s (1) cores
% 1.37/0.71 # Starting sh5l with 300s (1) cores
% 1.37/0.71 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 17469 completed with status 0
% 1.37/0.71 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 1.37/0.71 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.37/0.71 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.37/0.71 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.37/0.71 # No SInE strategy applied
% 1.37/0.71 # Search class: FUUPS-FFSF22-DFFFFFNN
% 1.37/0.71 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.37/0.71 # Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 1.37/0.71 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 1.37/0.71 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 1.37/0.71 # Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.37/0.71 # Starting new_bool_3 with 136s (1) cores
% 1.37/0.72 # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 17476 completed with status 0
% 1.37/0.72 # Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 1.37/0.72 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.37/0.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.37/0.72 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.37/0.72 # No SInE strategy applied
% 1.37/0.72 # Search class: FUUPS-FFSF22-DFFFFFNN
% 1.37/0.72 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.37/0.72 # Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 1.37/0.72 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 1.37/0.72 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 1.37/0.72 # Preprocessing time : 0.001 s
% 1.37/0.72 # Presaturation interreduction done
% 1.37/0.72
% 1.37/0.72 # Proof found!
% 1.37/0.72 # SZS status Unsatisfiable
% 1.37/0.72 # SZS output start CNFRefutation
% See solution above
% 1.37/0.72 # Parsed axioms : 4
% 1.37/0.72 # Removed by relevancy pruning/SinE : 0
% 1.37/0.72 # Initial clauses : 4
% 1.37/0.72 # Removed in clause preprocessing : 0
% 1.37/0.72 # Initial clauses in saturation : 4
% 1.37/0.72 # Processed clauses : 282
% 1.37/0.72 # ...of these trivial : 73
% 1.37/0.72 # ...subsumed : 96
% 1.37/0.72 # ...remaining for further processing : 113
% 1.37/0.72 # Other redundant clauses eliminated : 0
% 1.37/0.72 # Clauses deleted for lack of memory : 0
% 1.37/0.72 # Backward-subsumed : 0
% 1.37/0.72 # Backward-rewritten : 8
% 1.37/0.72 # Generated clauses : 9525
% 1.37/0.72 # ...of the previous two non-redundant : 9220
% 1.37/0.72 # ...aggressively subsumed : 0
% 1.37/0.72 # Contextual simplify-reflections : 0
% 1.37/0.72 # Paramodulations : 9525
% 1.37/0.72 # Factorizations : 0
% 1.37/0.72 # NegExts : 0
% 1.37/0.72 # Equation resolutions : 0
% 1.37/0.72 # Disequality decompositions : 0
% 1.37/0.72 # Total rewrite steps : 5192
% 1.37/0.72 # ...of those cached : 3851
% 1.37/0.72 # Propositional unsat checks : 0
% 1.37/0.72 # Propositional check models : 0
% 1.37/0.72 # Propositional check unsatisfiable : 0
% 1.37/0.72 # Propositional clauses : 0
% 1.37/0.72 # Propositional clauses after purity: 0
% 1.37/0.72 # Propositional unsat core size : 0
% 1.37/0.72 # Propositional preprocessing time : 0.000
% 1.37/0.72 # Propositional encoding time : 0.000
% 1.37/0.72 # Propositional solver time : 0.000
% 1.37/0.72 # Success case prop preproc time : 0.000
% 1.37/0.72 # Success case prop encoding time : 0.000
% 1.37/0.72 # Success case prop solver time : 0.000
% 1.37/0.72 # Current number of processed clauses : 101
% 1.37/0.72 # Positive orientable unit clauses : 69
% 1.37/0.72 # Positive unorientable unit clauses: 32
% 1.37/0.72 # Negative unit clauses : 0
% 1.37/0.72 # Non-unit-clauses : 0
% 1.37/0.72 # Current number of unprocessed clauses: 8945
% 1.37/0.72 # ...number of literals in the above : 8945
% 1.37/0.72 # Current number of archived formulas : 0
% 1.37/0.72 # Current number of archived clauses : 12
% 1.37/0.72 # Clause-clause subsumption calls (NU) : 0
% 1.37/0.72 # Rec. Clause-clause subsumption calls : 0
% 1.37/0.72 # Non-unit clause-clause subsumptions : 0
% 1.37/0.72 # Unit Clause-clause subsumption calls : 482
% 1.37/0.72 # Rewrite failures with RHS unbound : 0
% 1.37/0.72 # BW rewrite match attempts : 1311
% 1.37/0.72 # BW rewrite match successes : 72
% 1.37/0.72 # Condensation attempts : 0
% 1.37/0.72 # Condensation successes : 0
% 1.37/0.72 # Termbank termtop insertions : 283530
% 1.37/0.72 # Search garbage collected termcells : 2
% 1.37/0.72
% 1.37/0.72 # -------------------------------------------------
% 1.37/0.72 # User time : 0.188 s
% 1.37/0.72 # System time : 0.008 s
% 1.37/0.72 # Total time : 0.196 s
% 1.37/0.72 # Maximum resident set size: 1548 pages
% 1.37/0.72
% 1.37/0.72 # -------------------------------------------------
% 1.37/0.72 # User time : 0.977 s
% 1.37/0.72 # System time : 0.040 s
% 1.37/0.72 # Total time : 1.017 s
% 1.37/0.72 # Maximum resident set size: 1684 pages
% 1.37/0.72 % E---3.1 exiting
% 1.37/0.72 % E exiting
%------------------------------------------------------------------------------