TSTP Solution File: COL002-4 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : COL002-4 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 07:27:54 EDT 2024
% Result : Unsatisfiable 0.19s 0.51s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 18 ( 18 unt; 0 nHn; 4 RR)
% Number of literals : 18 ( 17 equ; 3 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(s_definition,axiom,
apply(apply(apply(s,X1),X2),X3) = apply(apply(X1,X3),apply(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.35gbmABVtE/E---3.1_13577.p',s_definition) ).
cnf(i_definition,axiom,
apply(i,X1) = X1,
file('/export/starexec/sandbox2/tmp/tmp.35gbmABVtE/E---3.1_13577.p',i_definition) ).
cnf(b_definition,axiom,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.35gbmABVtE/E---3.1_13577.p',b_definition) ).
cnf(weak_fixed_point,axiom,
weak_fixed_point(X1) = apply(apply(apply(s,apply(b,X1)),i),apply(apply(s,apply(b,X1)),i)),
file('/export/starexec/sandbox2/tmp/tmp.35gbmABVtE/E---3.1_13577.p',weak_fixed_point) ).
cnf(prove_weak_fixed_point,negated_conjecture,
weak_fixed_point(fixed_pt) != apply(fixed_pt,weak_fixed_point(fixed_pt)),
file('/export/starexec/sandbox2/tmp/tmp.35gbmABVtE/E---3.1_13577.p',prove_weak_fixed_point) ).
cnf(c_0_5,axiom,
apply(apply(apply(s,X1),X2),X3) = apply(apply(X1,X3),apply(X2,X3)),
s_definition ).
cnf(c_0_6,axiom,
apply(i,X1) = X1,
i_definition ).
cnf(c_0_7,axiom,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
b_definition ).
cnf(c_0_8,plain,
apply(apply(apply(s,X1),i),X2) = apply(apply(X1,X2),X2),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,plain,
apply(apply(apply(s,apply(b,X1)),i),X2) = apply(X1,apply(X2,X2)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
apply(apply(apply(s,i),i),X1) = apply(X1,X1),
inference(spm,[status(thm)],[c_0_8,c_0_6]) ).
cnf(c_0_11,axiom,
weak_fixed_point(X1) = apply(apply(apply(s,apply(b,X1)),i),apply(apply(s,apply(b,X1)),i)),
weak_fixed_point ).
cnf(c_0_12,negated_conjecture,
weak_fixed_point(fixed_pt) != apply(fixed_pt,weak_fixed_point(fixed_pt)),
inference(fof_simplification,[status(thm)],[prove_weak_fixed_point]) ).
cnf(c_0_13,plain,
apply(apply(apply(s,apply(b,X1)),i),X2) = apply(X1,apply(apply(apply(s,i),i),X2)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
apply(apply(apply(s,i),i),apply(apply(s,apply(b,X1)),i)) = weak_fixed_point(X1),
inference(rw,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
weak_fixed_point(fixed_pt) != apply(fixed_pt,weak_fixed_point(fixed_pt)),
c_0_12 ).
cnf(c_0_16,plain,
apply(X1,weak_fixed_point(X1)) = weak_fixed_point(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_13]),c_0_14]),c_0_14]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL002-4 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 11:33:50 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.19/0.49 Running first-order theorem proving
% 0.19/0.49 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.35gbmABVtE/E---3.1_13577.p
% 0.19/0.51 # Version: 3.1.0
% 0.19/0.51 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.51 # Starting sh5l with 300s (1) cores
% 0.19/0.51 # new_bool_3 with pid 13676 completed with status 0
% 0.19/0.51 # Result found by new_bool_3
% 0.19/0.51 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.51 # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.19/0.51 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.51 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 0.19/0.51 # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 13681 completed with status 0
% 0.19/0.51 # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 0.19/0.51 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.51 # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.19/0.51 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.51 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 0.19/0.51 # Preprocessing time : 0.001 s
% 0.19/0.51 # Presaturation interreduction done
% 0.19/0.51
% 0.19/0.51 # Proof found!
% 0.19/0.51 # SZS status Unsatisfiable
% 0.19/0.51 # SZS output start CNFRefutation
% See solution above
% 0.19/0.51 # Parsed axioms : 6
% 0.19/0.51 # Removed by relevancy pruning/SinE : 1
% 0.19/0.51 # Initial clauses : 5
% 0.19/0.51 # Removed in clause preprocessing : 0
% 0.19/0.51 # Initial clauses in saturation : 5
% 0.19/0.51 # Processed clauses : 48
% 0.19/0.51 # ...of these trivial : 1
% 0.19/0.51 # ...subsumed : 21
% 0.19/0.51 # ...remaining for further processing : 26
% 0.19/0.51 # Other redundant clauses eliminated : 0
% 0.19/0.51 # Clauses deleted for lack of memory : 0
% 0.19/0.51 # Backward-subsumed : 0
% 0.19/0.51 # Backward-rewritten : 2
% 0.19/0.51 # Generated clauses : 527
% 0.19/0.51 # ...of the previous two non-redundant : 474
% 0.19/0.51 # ...aggressively subsumed : 0
% 0.19/0.51 # Contextual simplify-reflections : 0
% 0.19/0.51 # Paramodulations : 527
% 0.19/0.51 # Factorizations : 0
% 0.19/0.51 # NegExts : 0
% 0.19/0.51 # Equation resolutions : 0
% 0.19/0.51 # Disequality decompositions : 0
% 0.19/0.51 # Total rewrite steps : 193
% 0.19/0.51 # ...of those cached : 96
% 0.19/0.51 # Propositional unsat checks : 0
% 0.19/0.51 # Propositional check models : 0
% 0.19/0.51 # Propositional check unsatisfiable : 0
% 0.19/0.51 # Propositional clauses : 0
% 0.19/0.51 # Propositional clauses after purity: 0
% 0.19/0.51 # Propositional unsat core size : 0
% 0.19/0.51 # Propositional preprocessing time : 0.000
% 0.19/0.51 # Propositional encoding time : 0.000
% 0.19/0.51 # Propositional solver time : 0.000
% 0.19/0.51 # Success case prop preproc time : 0.000
% 0.19/0.51 # Success case prop encoding time : 0.000
% 0.19/0.51 # Success case prop solver time : 0.000
% 0.19/0.51 # Current number of processed clauses : 19
% 0.19/0.51 # Positive orientable unit clauses : 14
% 0.19/0.51 # Positive unorientable unit clauses: 5
% 0.19/0.51 # Negative unit clauses : 0
% 0.19/0.51 # Non-unit-clauses : 0
% 0.19/0.51 # Current number of unprocessed clauses: 436
% 0.19/0.51 # ...number of literals in the above : 436
% 0.19/0.51 # Current number of archived formulas : 0
% 0.19/0.51 # Current number of archived clauses : 7
% 0.19/0.51 # Clause-clause subsumption calls (NU) : 0
% 0.19/0.51 # Rec. Clause-clause subsumption calls : 0
% 0.19/0.51 # Non-unit clause-clause subsumptions : 0
% 0.19/0.51 # Unit Clause-clause subsumption calls : 6
% 0.19/0.51 # Rewrite failures with RHS unbound : 0
% 0.19/0.51 # BW rewrite match attempts : 137
% 0.19/0.51 # BW rewrite match successes : 3
% 0.19/0.51 # Condensation attempts : 0
% 0.19/0.51 # Condensation successes : 0
% 0.19/0.51 # Termbank termtop insertions : 11334
% 0.19/0.51 # Search garbage collected termcells : 8
% 0.19/0.51
% 0.19/0.51 # -------------------------------------------------
% 0.19/0.51 # User time : 0.009 s
% 0.19/0.51 # System time : 0.004 s
% 0.19/0.51 # Total time : 0.013 s
% 0.19/0.51 # Maximum resident set size: 1616 pages
% 0.19/0.51
% 0.19/0.51 # -------------------------------------------------
% 0.19/0.51 # User time : 0.009 s
% 0.19/0.51 # System time : 0.007 s
% 0.19/0.51 # Total time : 0.016 s
% 0.19/0.51 # Maximum resident set size: 1684 pages
% 0.19/0.51 % E---3.1 exiting
% 0.19/0.51 % E exiting
%------------------------------------------------------------------------------