TSTP Solution File: COL066-3 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : COL066-3 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 07:28:52 EDT 2024
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 6 RR)
% Number of literals : 15 ( 14 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_p_combinator,negated_conjecture,
apply(apply(apply(apply(apply(apply(b,apply(w,apply(q,apply(q,q)))),q),x),y),y),z) != apply(apply(x,y),apply(apply(x,y),z)),
file('/export/starexec/sandbox2/tmp/tmp.QxwvA2nuil/E---3.1_32165.p',prove_p_combinator) ).
cnf(w_definition,axiom,
apply(apply(w,X1),X2) = apply(apply(X1,X2),X2),
file('/export/starexec/sandbox2/tmp/tmp.QxwvA2nuil/E---3.1_32165.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.QxwvA2nuil/E---3.1_32165.p',b_definition) ).
cnf(q_definition,axiom,
apply(apply(apply(q,X1),X2),X3) = apply(X2,apply(X1,X3)),
file('/export/starexec/sandbox2/tmp/tmp.QxwvA2nuil/E---3.1_32165.p',q_definition) ).
cnf(c_0_4,negated_conjecture,
apply(apply(apply(apply(apply(apply(b,apply(w,apply(q,apply(q,q)))),q),x),y),y),z) != apply(apply(x,y),apply(apply(x,y),z)),
inference(fof_simplification,[status(thm)],[prove_p_combinator]) ).
cnf(c_0_5,negated_conjecture,
apply(apply(apply(apply(apply(apply(b,apply(w,apply(q,apply(q,q)))),q),x),y),y),z) != apply(apply(x,y),apply(apply(x,y),z)),
c_0_4 ).
cnf(c_0_6,axiom,
apply(apply(w,X1),X2) = apply(apply(X1,X2),X2),
w_definition ).
cnf(c_0_7,axiom,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
b_definition ).
cnf(c_0_8,axiom,
apply(apply(apply(q,X1),X2),X3) = apply(X2,apply(X1,X3)),
q_definition ).
cnf(c_0_9,negated_conjecture,
apply(apply(apply(w,apply(apply(w,apply(q,apply(q,q))),apply(q,x))),y),z) != apply(apply(x,y),apply(apply(x,y),z)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
cnf(c_0_10,plain,
apply(apply(w,apply(q,X1)),X2) = apply(X2,apply(X1,X2)),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_11,plain,
apply(apply(w,apply(apply(q,X1),X2)),X3) = apply(apply(X2,apply(X1,X3)),X3),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
apply(apply(apply(w,q),apply(x,y)),z) != apply(apply(x,y),apply(apply(x,y),z)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_8]),c_0_8]),c_0_6]) ).
cnf(c_0_13,plain,
apply(apply(apply(w,q),X1),X2) = apply(X1,apply(X1,X2)),
inference(spm,[status(thm)],[c_0_8,c_0_6]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : COL066-3 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.04/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n017.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 11:05:36 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.QxwvA2nuil/E---3.1_32165.p
% 0.14/0.41 # Version: 3.1.0
% 0.14/0.41 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.41 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41 # Starting sh5l with 300s (1) cores
% 0.14/0.41 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 32242 completed with status 0
% 0.14/0.41 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.14/0.41 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.41 # No SInE strategy applied
% 0.14/0.41 # Search class: FUUPS-FFSF22-DFFFFFNN
% 0.14/0.41 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.41 # Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 0.14/0.41 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/0.41 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.14/0.41 # Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.41 # Starting new_bool_3 with 136s (1) cores
% 0.14/0.41 # U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 32251 completed with status 0
% 0.14/0.41 # Result found by U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.41 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.41 # No SInE strategy applied
% 0.14/0.41 # Search class: FUUPS-FFSF22-DFFFFFNN
% 0.14/0.41 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.41 # Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 0.14/0.41 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/0.41 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.14/0.41 # Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.41 # Preprocessing time : 0.001 s
% 0.14/0.41 # Presaturation interreduction done
% 0.14/0.41
% 0.14/0.41 # Proof found!
% 0.14/0.41 # SZS status Unsatisfiable
% 0.14/0.41 # SZS output start CNFRefutation
% See solution above
% 0.14/0.41 # Parsed axioms : 4
% 0.14/0.41 # Removed by relevancy pruning/SinE : 0
% 0.14/0.41 # Initial clauses : 4
% 0.14/0.41 # Removed in clause preprocessing : 0
% 0.14/0.41 # Initial clauses in saturation : 4
% 0.14/0.41 # Processed clauses : 38
% 0.14/0.41 # ...of these trivial : 1
% 0.14/0.41 # ...subsumed : 13
% 0.14/0.41 # ...remaining for further processing : 24
% 0.14/0.41 # Other redundant clauses eliminated : 0
% 0.14/0.41 # Clauses deleted for lack of memory : 0
% 0.14/0.41 # Backward-subsumed : 0
% 0.14/0.41 # Backward-rewritten : 2
% 0.14/0.41 # Generated clauses : 446
% 0.14/0.41 # ...of the previous two non-redundant : 368
% 0.14/0.41 # ...aggressively subsumed : 0
% 0.14/0.41 # Contextual simplify-reflections : 0
% 0.14/0.41 # Paramodulations : 446
% 0.14/0.41 # Factorizations : 0
% 0.14/0.41 # NegExts : 0
% 0.14/0.41 # Equation resolutions : 0
% 0.14/0.41 # Disequality decompositions : 0
% 0.14/0.41 # Total rewrite steps : 51
% 0.14/0.41 # ...of those cached : 23
% 0.14/0.41 # Propositional unsat checks : 0
% 0.14/0.41 # Propositional check models : 0
% 0.14/0.41 # Propositional check unsatisfiable : 0
% 0.14/0.41 # Propositional clauses : 0
% 0.14/0.41 # Propositional clauses after purity: 0
% 0.14/0.41 # Propositional unsat core size : 0
% 0.14/0.41 # Propositional preprocessing time : 0.000
% 0.14/0.41 # Propositional encoding time : 0.000
% 0.14/0.41 # Propositional solver time : 0.000
% 0.14/0.41 # Success case prop preproc time : 0.000
% 0.14/0.41 # Success case prop encoding time : 0.000
% 0.14/0.41 # Success case prop solver time : 0.000
% 0.14/0.41 # Current number of processed clauses : 18
% 0.14/0.41 # Positive orientable unit clauses : 4
% 0.14/0.41 # Positive unorientable unit clauses: 13
% 0.14/0.41 # Negative unit clauses : 1
% 0.14/0.41 # Non-unit-clauses : 0
% 0.14/0.41 # Current number of unprocessed clauses: 338
% 0.14/0.41 # ...number of literals in the above : 338
% 0.14/0.41 # Current number of archived formulas : 0
% 0.14/0.41 # Current number of archived clauses : 6
% 0.14/0.41 # Clause-clause subsumption calls (NU) : 0
% 0.14/0.41 # Rec. Clause-clause subsumption calls : 0
% 0.14/0.41 # Non-unit clause-clause subsumptions : 0
% 0.14/0.41 # Unit Clause-clause subsumption calls : 9
% 0.14/0.41 # Rewrite failures with RHS unbound : 0
% 0.14/0.41 # BW rewrite match attempts : 217
% 0.14/0.41 # BW rewrite match successes : 34
% 0.14/0.41 # Condensation attempts : 0
% 0.14/0.41 # Condensation successes : 0
% 0.14/0.41 # Termbank termtop insertions : 7138
% 0.14/0.41 # Search garbage collected termcells : 2
% 0.14/0.41
% 0.14/0.41 # -------------------------------------------------
% 0.14/0.41 # User time : 0.009 s
% 0.14/0.41 # System time : 0.001 s
% 0.14/0.41 # Total time : 0.009 s
% 0.14/0.41 # Maximum resident set size: 1556 pages
% 0.14/0.41
% 0.14/0.41 # -------------------------------------------------
% 0.14/0.41 # User time : 0.034 s
% 0.14/0.41 # System time : 0.013 s
% 0.14/0.41 # Total time : 0.047 s
% 0.14/0.41 # Maximum resident set size: 1692 pages
% 0.14/0.41 % E---3.1 exiting
%------------------------------------------------------------------------------