TSTP Solution File: COL003-19 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : COL003-19 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 07:27:55 EDT 2024
% Result : Unsatisfiable 0.81s 0.56s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 6 RR)
% Number of literals : 20 ( 19 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 : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(w_definition,axiom,
apply(apply(w,X1),X2) = apply(apply(X1,X2),X2),
file('/export/starexec/sandbox2/tmp/tmp.zNHIRJ47uc/E---3.1_19081.p',w_definition) ).
cnf(b_definition,axiom,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.zNHIRJ47uc/E---3.1_19081.p',b_definition) ).
cnf(strong_fixed_point,axiom,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b))),b),
file('/export/starexec/sandbox2/tmp/tmp.zNHIRJ47uc/E---3.1_19081.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/sandbox2/tmp/tmp.zNHIRJ47uc/E---3.1_19081.p',prove_strong_fixed_point) ).
cnf(c_0_4,axiom,
apply(apply(w,X1),X2) = apply(apply(X1,X2),X2),
w_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(w,apply(w,X1)),X2) = apply(apply(w,apply(X1,X2)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_4]),c_0_4]) ).
cnf(c_0_7,plain,
apply(apply(w,apply(apply(b,X1),X2)),X3) = apply(apply(X1,apply(X2,X3)),X3),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,plain,
apply(apply(w,apply(b,X1)),X2) = apply(X1,apply(X2,X2)),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_9,plain,
apply(apply(w,apply(apply(b,w),X1)),X2) = apply(apply(w,apply(w,X1)),X2),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
apply(apply(apply(w,apply(b,apply(b,X1))),X2),X3) = apply(X1,apply(apply(X2,X2),X3)),
inference(spm,[status(thm)],[c_0_5,c_0_8]) ).
cnf(c_0_11,plain,
apply(apply(w,w),X1) = apply(apply(X1,X1),X1),
inference(spm,[status(thm)],[c_0_4,c_0_4]) ).
cnf(c_0_12,axiom,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b))),b),
strong_fixed_point ).
cnf(c_0_13,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_14,plain,
apply(apply(w,apply(w,X1)),apply(apply(b,w),X1)) = apply(apply(w,w),apply(apply(b,w),X1)),
inference(spm,[status(thm)],[c_0_4,c_0_9]) ).
cnf(c_0_15,plain,
apply(apply(w,apply(w,apply(b,apply(b,X1)))),X2) = apply(X1,apply(apply(w,w),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_4]) ).
cnf(c_0_16,plain,
apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,X1)))) = apply(strong_fixed_point,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_12]),c_0_5]),c_0_5]) ).
cnf(c_0_17,negated_conjecture,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
c_0_13 ).
cnf(c_0_18,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_14,c_0_15]),c_0_16]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COL003-19 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n021.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 11:44:13 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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.zNHIRJ47uc/E---3.1_19081.p
% 0.81/0.56 # Version: 3.1.0
% 0.81/0.56 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.81/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.81/0.56 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.81/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.81/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.81/0.56 # Starting sh5l with 300s (1) cores
% 0.81/0.56 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 19211 completed with status 0
% 0.81/0.56 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.81/0.56 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.81/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.81/0.56 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.81/0.56 # No SInE strategy applied
% 0.81/0.56 # Search class: FUUPS-FFSF22-DFFFFFNN
% 0.81/0.56 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.81/0.56 # Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 0.81/0.56 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.81/0.56 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.81/0.56 # Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.81/0.56 # Starting new_bool_3 with 136s (1) cores
% 0.81/0.56 # Y1006__C12_02_nc_F1_AE_CS_SP_S2S with pid 19215 completed with status 0
% 0.81/0.56 # Result found by Y1006__C12_02_nc_F1_AE_CS_SP_S2S
% 0.81/0.56 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.81/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.81/0.56 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.81/0.56 # No SInE strategy applied
% 0.81/0.56 # Search class: FUUPS-FFSF22-DFFFFFNN
% 0.81/0.56 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.81/0.56 # Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 0.81/0.56 # Preprocessing time : 0.001 s
% 0.81/0.56 # Presaturation interreduction done
% 0.81/0.56
% 0.81/0.56 # Proof found!
% 0.81/0.56 # SZS status Unsatisfiable
% 0.81/0.56 # SZS output start CNFRefutation
% See solution above
% 0.81/0.56 # Parsed axioms : 4
% 0.81/0.56 # Removed by relevancy pruning/SinE : 0
% 0.81/0.56 # Initial clauses : 4
% 0.81/0.56 # Removed in clause preprocessing : 0
% 0.81/0.56 # Initial clauses in saturation : 4
% 0.81/0.56 # Processed clauses : 171
% 0.81/0.56 # ...of these trivial : 45
% 0.81/0.56 # ...subsumed : 48
% 0.81/0.56 # ...remaining for further processing : 78
% 0.81/0.56 # Other redundant clauses eliminated : 0
% 0.81/0.56 # Clauses deleted for lack of memory : 0
% 0.81/0.56 # Backward-subsumed : 0
% 0.81/0.56 # Backward-rewritten : 11
% 0.81/0.56 # Generated clauses : 3158
% 0.81/0.56 # ...of the previous two non-redundant : 3022
% 0.81/0.56 # ...aggressively subsumed : 0
% 0.81/0.56 # Contextual simplify-reflections : 0
% 0.81/0.56 # Paramodulations : 3158
% 0.81/0.56 # Factorizations : 0
% 0.81/0.56 # NegExts : 0
% 0.81/0.56 # Equation resolutions : 0
% 0.81/0.56 # Disequality decompositions : 0
% 0.81/0.56 # Total rewrite steps : 1018
% 0.81/0.56 # ...of those cached : 490
% 0.81/0.56 # Propositional unsat checks : 0
% 0.81/0.56 # Propositional check models : 0
% 0.81/0.56 # Propositional check unsatisfiable : 0
% 0.81/0.56 # Propositional clauses : 0
% 0.81/0.56 # Propositional clauses after purity: 0
% 0.81/0.56 # Propositional unsat core size : 0
% 0.81/0.56 # Propositional preprocessing time : 0.000
% 0.81/0.56 # Propositional encoding time : 0.000
% 0.81/0.56 # Propositional solver time : 0.000
% 0.81/0.56 # Success case prop preproc time : 0.000
% 0.81/0.56 # Success case prop encoding time : 0.000
% 0.81/0.56 # Success case prop solver time : 0.000
% 0.81/0.56 # Current number of processed clauses : 63
% 0.81/0.56 # Positive orientable unit clauses : 44
% 0.81/0.56 # Positive unorientable unit clauses: 19
% 0.81/0.56 # Negative unit clauses : 0
% 0.81/0.56 # Non-unit-clauses : 0
% 0.81/0.56 # Current number of unprocessed clauses: 2839
% 0.81/0.56 # ...number of literals in the above : 2839
% 0.81/0.56 # Current number of archived formulas : 0
% 0.81/0.56 # Current number of archived clauses : 15
% 0.81/0.56 # Clause-clause subsumption calls (NU) : 0
% 0.81/0.56 # Rec. Clause-clause subsumption calls : 0
% 0.81/0.56 # Non-unit clause-clause subsumptions : 0
% 0.81/0.56 # Unit Clause-clause subsumption calls : 208
% 0.81/0.56 # Rewrite failures with RHS unbound : 0
% 0.81/0.56 # BW rewrite match attempts : 1571
% 0.81/0.56 # BW rewrite match successes : 53
% 0.81/0.56 # Condensation attempts : 0
% 0.81/0.56 # Condensation successes : 0
% 0.81/0.56 # Termbank termtop insertions : 93018
% 0.81/0.56 # Search garbage collected termcells : 2
% 0.81/0.56
% 0.81/0.56 # -------------------------------------------------
% 0.81/0.56 # User time : 0.051 s
% 0.81/0.56 # System time : 0.009 s
% 0.81/0.56 # Total time : 0.060 s
% 0.81/0.56 # Maximum resident set size: 1548 pages
% 0.81/0.56
% 0.81/0.56 # -------------------------------------------------
% 0.81/0.56 # User time : 0.271 s
% 0.81/0.56 # System time : 0.027 s
% 0.81/0.56 # Total time : 0.298 s
% 0.81/0.56 # Maximum resident set size: 1688 pages
% 0.81/0.56 % E---3.1 exiting
% 0.81/0.57 % E exiting
%------------------------------------------------------------------------------