TSTP Solution File: COL001-1 by E---3.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : COL001-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 Jun 24 04:45:19 EDT 2024
% Result : Unsatisfiable 1.19s 0.61s
% Output : CNFRefutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 6 RR)
% Number of literals : 13 ( 12 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(s_definition,axiom,
apply(apply(apply(s,X1),X2),X3) = apply(apply(X1,X3),apply(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.7607cCa7Xt/E---3.1_28260.p',s_definition) ).
cnf(k_definition,axiom,
apply(apply(k,X1),X2) = X1,
file('/export/starexec/sandbox/tmp/tmp.7607cCa7Xt/E---3.1_28260.p',k_definition) ).
cnf(prove_fixed_point,negated_conjecture,
X1 != apply(combinator,X1),
file('/export/starexec/sandbox/tmp/tmp.7607cCa7Xt/E---3.1_28260.p',prove_fixed_point) ).
cnf(c_0_3,axiom,
apply(apply(apply(s,X1),X2),X3) = apply(apply(X1,X3),apply(X2,X3)),
s_definition ).
cnf(c_0_4,axiom,
apply(apply(k,X1),X2) = X1,
k_definition ).
cnf(c_0_5,negated_conjecture,
X1 != apply(combinator,X1),
inference(fof_simplification,[status(thm)],[prove_fixed_point]) ).
cnf(c_0_6,plain,
apply(apply(apply(s,apply(k,X1)),X2),X3) = apply(X1,apply(X2,X3)),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
X1 != apply(combinator,X1),
c_0_5 ).
cnf(c_0_8,plain,
apply(apply(apply(s,apply(s,apply(k,X1))),X2),X3) = apply(X1,apply(X3,apply(X2,X3))),
inference(spm,[status(thm)],[c_0_3,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
apply(apply(apply(s,apply(s,apply(k,combinator))),X1),X2) != apply(X2,apply(X1,X2)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
apply(apply(apply(s,k),X1),X2) = X2,
inference(spm,[status(thm)],[c_0_4,c_0_3]) ).
cnf(c_0_11,negated_conjecture,
apply(apply(apply(s,apply(s,apply(k,combinator))),apply(apply(s,k),X1)),X2) != apply(X2,X2),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(er,[status(thm)],[c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jun 18 16:30:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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.7607cCa7Xt/E---3.1_28260.p
% 1.19/0.61 # Version: 3.2.0
% 1.19/0.61 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.19/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.19/0.61 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.19/0.61 # Starting new_bool_3 with 300s (1) cores
% 1.19/0.61 # Starting new_bool_1 with 300s (1) cores
% 1.19/0.61 # Starting sh5l with 300s (1) cores
% 1.19/0.61 # sh5l with pid 28389 completed with status 0
% 1.19/0.61 # Result found by sh5l
% 1.19/0.61 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.19/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.19/0.61 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.19/0.61 # Starting new_bool_3 with 300s (1) cores
% 1.19/0.61 # Starting new_bool_1 with 300s (1) cores
% 1.19/0.61 # Starting sh5l with 300s (1) cores
% 1.19/0.61 # SinE strategy is gf500_gu_R04_F100_L20000
% 1.19/0.61 # Search class: FUUPS-FFSF22-MFFFFFNN
% 1.19/0.61 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.19/0.61 # Starting G-E--_208_C18_F1_AE_CS_SP_S0Y with 181s (1) cores
% 1.19/0.61 # G-E--_208_C18_F1_AE_CS_SP_S0Y with pid 28399 completed with status 0
% 1.19/0.61 # Result found by G-E--_208_C18_F1_AE_CS_SP_S0Y
% 1.19/0.61 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.19/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.19/0.61 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.19/0.61 # Starting new_bool_3 with 300s (1) cores
% 1.19/0.61 # Starting new_bool_1 with 300s (1) cores
% 1.19/0.61 # Starting sh5l with 300s (1) cores
% 1.19/0.61 # SinE strategy is gf500_gu_R04_F100_L20000
% 1.19/0.61 # Search class: FUUPS-FFSF22-MFFFFFNN
% 1.19/0.61 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.19/0.61 # Starting G-E--_208_C18_F1_AE_CS_SP_S0Y with 181s (1) cores
% 1.19/0.61 # Preprocessing time : 0.001 s
% 1.19/0.61
% 1.19/0.61 # Proof found!
% 1.19/0.61 # SZS status Unsatisfiable
% 1.19/0.61 # SZS output start CNFRefutation
% See solution above
% 1.19/0.61 # Parsed axioms : 3
% 1.19/0.61 # Removed by relevancy pruning/SinE : 0
% 1.19/0.61 # Initial clauses : 3
% 1.19/0.61 # Removed in clause preprocessing : 0
% 1.19/0.61 # Initial clauses in saturation : 3
% 1.19/0.61 # Processed clauses : 214
% 1.19/0.61 # ...of these trivial : 20
% 1.19/0.61 # ...subsumed : 123
% 1.19/0.61 # ...remaining for further processing : 71
% 1.19/0.61 # Other redundant clauses eliminated : 0
% 1.19/0.61 # Clauses deleted for lack of memory : 0
% 1.19/0.61 # Backward-subsumed : 1
% 1.19/0.61 # Backward-rewritten : 7
% 1.19/0.61 # Generated clauses : 5417
% 1.19/0.61 # ...of the previous two non-redundant : 5062
% 1.19/0.61 # ...aggressively subsumed : 0
% 1.19/0.61 # Contextual simplify-reflections : 0
% 1.19/0.61 # Paramodulations : 5416
% 1.19/0.61 # Factorizations : 0
% 1.19/0.61 # NegExts : 0
% 1.19/0.61 # Equation resolutions : 1
% 1.19/0.61 # Disequality decompositions : 0
% 1.19/0.61 # Total rewrite steps : 1596
% 1.19/0.61 # ...of those cached : 744
% 1.19/0.61 # Propositional unsat checks : 0
% 1.19/0.61 # Propositional check models : 0
% 1.19/0.61 # Propositional check unsatisfiable : 0
% 1.19/0.61 # Propositional clauses : 0
% 1.19/0.61 # Propositional clauses after purity: 0
% 1.19/0.61 # Propositional unsat core size : 0
% 1.19/0.61 # Propositional preprocessing time : 0.000
% 1.19/0.61 # Propositional encoding time : 0.000
% 1.19/0.61 # Propositional solver time : 0.000
% 1.19/0.61 # Success case prop preproc time : 0.000
% 1.19/0.61 # Success case prop encoding time : 0.000
% 1.19/0.61 # Success case prop solver time : 0.000
% 1.19/0.61 # Current number of processed clauses : 63
% 1.19/0.61 # Positive orientable unit clauses : 42
% 1.19/0.61 # Positive unorientable unit clauses: 13
% 1.19/0.61 # Negative unit clauses : 8
% 1.19/0.61 # Non-unit-clauses : 0
% 1.19/0.61 # Current number of unprocessed clauses: 4844
% 1.19/0.61 # ...number of literals in the above : 4844
% 1.19/0.61 # Current number of archived formulas : 0
% 1.19/0.61 # Current number of archived clauses : 8
% 1.19/0.61 # Clause-clause subsumption calls (NU) : 0
% 1.19/0.61 # Rec. Clause-clause subsumption calls : 0
% 1.19/0.61 # Non-unit clause-clause subsumptions : 0
% 1.19/0.61 # Unit Clause-clause subsumption calls : 57
% 1.19/0.61 # Rewrite failures with RHS unbound : 50
% 1.19/0.61 # BW rewrite match attempts : 1354
% 1.19/0.61 # BW rewrite match successes : 31
% 1.19/0.61 # Condensation attempts : 0
% 1.19/0.61 # Condensation successes : 0
% 1.19/0.61 # Termbank termtop insertions : 150366
% 1.19/0.61 # Search garbage collected termcells : 2
% 1.19/0.61
% 1.19/0.61 # -------------------------------------------------
% 1.19/0.61 # User time : 0.119 s
% 1.19/0.61 # System time : 0.010 s
% 1.19/0.61 # Total time : 0.129 s
% 1.19/0.61 # Maximum resident set size: 1612 pages
% 1.19/0.61
% 1.19/0.61 # -------------------------------------------------
% 1.19/0.61 # User time : 0.119 s
% 1.19/0.61 # System time : 0.013 s
% 1.19/0.61 # Total time : 0.132 s
% 1.19/0.61 # Maximum resident set size: 1684 pages
% 1.19/0.61 % E---3.1 exiting
% 1.19/0.61 % E exiting
%------------------------------------------------------------------------------