TSTP Solution File: COL003-1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : COL003-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 May 20 19:02:46 EDT 2024
% Result : Unsatisfiable 4.55s 1.13s
% Output : CNFRefutation 4.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 7 RR)
% Number of literals : 16 ( 15 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_strong_fixed_point,negated_conjecture,
apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
cnf(w_definition,axiom,
apply(apply(w,X1),X2) = apply(apply(X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_definition) ).
cnf(b_definition,axiom,
apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
cnf(c_0_3,negated_conjecture,
apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
inference(fof_simplification,[status(thm)],[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,negated_conjecture,
apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
c_0_3 ).
cnf(c_0_7,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_8,negated_conjecture,
apply(f(apply(apply(b,X1),X2)),apply(X1,apply(X2,f(apply(apply(b,X1),X2))))) != apply(X1,apply(X2,f(apply(apply(b,X1),X2)))),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_9,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_7]) ).
cnf(c_0_10,plain,
apply(apply(w,w),X1) = apply(apply(X1,X1),X1),
inference(spm,[status(thm)],[c_0_4,c_0_4]) ).
cnf(c_0_11,negated_conjecture,
apply(f(apply(apply(b,X1),apply(apply(b,X2),X3))),apply(X1,apply(X2,apply(X3,f(apply(apply(b,X1),apply(apply(b,X2),X3))))))) != apply(X1,apply(X2,apply(X3,f(apply(apply(b,X1),apply(apply(b,X2),X3)))))),
inference(spm,[status(thm)],[c_0_8,c_0_5]) ).
cnf(c_0_12,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_9,c_0_10]),c_0_4]) ).
cnf(c_0_13,negated_conjecture,
apply(f(apply(apply(b,X1),apply(apply(b,X2),apply(apply(b,X3),X4)))),apply(X1,apply(X2,apply(X3,apply(X4,f(apply(apply(b,X1),apply(apply(b,X2),apply(apply(b,X3),X4))))))))) != apply(X1,apply(X2,apply(X3,apply(X4,f(apply(apply(b,X1),apply(apply(b,X2),apply(apply(b,X3),X4)))))))),
inference(spm,[status(thm)],[c_0_11,c_0_5]) ).
cnf(c_0_14,plain,
apply(X1,apply(apply(w,w),apply(w,apply(b,apply(b,X1))))) = apply(apply(w,w),apply(w,apply(b,apply(b,X1)))),
inference(spm,[status(thm)],[c_0_4,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_13,c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : COL003-1 : TPTP v8.2.0. Released v1.0.0.
% 0.08/0.16 % Command : run_E %s %d THM
% 0.16/0.36 % Computer : n011.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat May 18 13:25:53 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.22/0.51 Running first-order model finding
% 0.22/0.51 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/benchmark/theBenchmark.p
% 4.55/1.13 # Version: 3.1.0
% 4.55/1.13 # Preprocessing class: FSSSSMSSSSSNFFN.
% 4.55/1.13 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.55/1.13 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 4.55/1.13 # Starting new_bool_3 with 300s (1) cores
% 4.55/1.13 # Starting new_bool_1 with 300s (1) cores
% 4.55/1.13 # Starting sh5l with 300s (1) cores
% 4.55/1.13 # sh5l with pid 22138 completed with status 0
% 4.55/1.13 # Result found by sh5l
% 4.55/1.13 # Preprocessing class: FSSSSMSSSSSNFFN.
% 4.55/1.13 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.55/1.13 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 4.55/1.13 # Starting new_bool_3 with 300s (1) cores
% 4.55/1.13 # Starting new_bool_1 with 300s (1) cores
% 4.55/1.13 # Starting sh5l with 300s (1) cores
% 4.55/1.13 # SinE strategy is gf500_gu_R04_F100_L20000
% 4.55/1.13 # Search class: FUUPS-FFSF21-MFFFFFNN
% 4.55/1.13 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.55/1.13 # Starting U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 4.55/1.13 # U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 22145 completed with status 0
% 4.55/1.13 # Result found by U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 4.55/1.13 # Preprocessing class: FSSSSMSSSSSNFFN.
% 4.55/1.13 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.55/1.13 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 4.55/1.13 # Starting new_bool_3 with 300s (1) cores
% 4.55/1.13 # Starting new_bool_1 with 300s (1) cores
% 4.55/1.13 # Starting sh5l with 300s (1) cores
% 4.55/1.13 # SinE strategy is gf500_gu_R04_F100_L20000
% 4.55/1.13 # Search class: FUUPS-FFSF21-MFFFFFNN
% 4.55/1.13 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.55/1.13 # Starting U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 4.55/1.13 # Preprocessing time : 0.001 s
% 4.55/1.13 # Presaturation interreduction done
% 4.55/1.13
% 4.55/1.13 # Proof found!
% 4.55/1.13 # SZS status Unsatisfiable
% 4.55/1.13 # SZS output start CNFRefutation
% See solution above
% 4.55/1.13 # Parsed axioms : 3
% 4.55/1.13 # Removed by relevancy pruning/SinE : 0
% 4.55/1.13 # Initial clauses : 3
% 4.55/1.13 # Removed in clause preprocessing : 0
% 4.55/1.13 # Initial clauses in saturation : 3
% 4.55/1.13 # Processed clauses : 1354
% 4.55/1.13 # ...of these trivial : 149
% 4.55/1.13 # ...subsumed : 901
% 4.55/1.13 # ...remaining for further processing : 304
% 4.55/1.13 # Other redundant clauses eliminated : 0
% 4.55/1.13 # Clauses deleted for lack of memory : 0
% 4.55/1.13 # Backward-subsumed : 2
% 4.55/1.13 # Backward-rewritten : 23
% 4.55/1.13 # Generated clauses : 36146
% 4.55/1.13 # ...of the previous two non-redundant : 35477
% 4.55/1.13 # ...aggressively subsumed : 0
% 4.55/1.13 # Contextual simplify-reflections : 0
% 4.55/1.13 # Paramodulations : 36146
% 4.55/1.13 # Factorizations : 0
% 4.55/1.13 # NegExts : 0
% 4.55/1.13 # Equation resolutions : 0
% 4.55/1.13 # Disequality decompositions : 0
% 4.55/1.13 # Total rewrite steps : 30196
% 4.55/1.13 # ...of those cached : 24786
% 4.55/1.13 # Propositional unsat checks : 0
% 4.55/1.13 # Propositional check models : 0
% 4.55/1.13 # Propositional check unsatisfiable : 0
% 4.55/1.13 # Propositional clauses : 0
% 4.55/1.13 # Propositional clauses after purity: 0
% 4.55/1.13 # Propositional unsat core size : 0
% 4.55/1.13 # Propositional preprocessing time : 0.000
% 4.55/1.13 # Propositional encoding time : 0.000
% 4.55/1.13 # Propositional solver time : 0.000
% 4.55/1.13 # Success case prop preproc time : 0.000
% 4.55/1.13 # Success case prop encoding time : 0.000
% 4.55/1.13 # Success case prop solver time : 0.000
% 4.55/1.13 # Current number of processed clauses : 276
% 4.55/1.13 # Positive orientable unit clauses : 92
% 4.55/1.13 # Positive unorientable unit clauses: 36
% 4.55/1.13 # Negative unit clauses : 148
% 4.55/1.13 # Non-unit-clauses : 0
% 4.55/1.13 # Current number of unprocessed clauses: 34036
% 4.55/1.13 # ...number of literals in the above : 34036
% 4.55/1.13 # Current number of archived formulas : 0
% 4.55/1.13 # Current number of archived clauses : 28
% 4.55/1.13 # Clause-clause subsumption calls (NU) : 0
% 4.55/1.13 # Rec. Clause-clause subsumption calls : 0
% 4.55/1.13 # Non-unit clause-clause subsumptions : 0
% 4.55/1.13 # Unit Clause-clause subsumption calls : 5557
% 4.55/1.13 # Rewrite failures with RHS unbound : 0
% 4.55/1.13 # BW rewrite match attempts : 10206
% 4.55/1.13 # BW rewrite match successes : 237
% 4.55/1.13 # Condensation attempts : 0
% 4.55/1.13 # Condensation successes : 0
% 4.55/1.13 # Termbank termtop insertions : 1780269
% 4.55/1.13 # Search garbage collected termcells : 2
% 4.55/1.13
% 4.55/1.13 # -------------------------------------------------
% 4.55/1.13 # User time : 0.545 s
% 4.55/1.13 # System time : 0.017 s
% 4.55/1.13 # Total time : 0.562 s
% 4.55/1.13 # Maximum resident set size: 1616 pages
% 4.55/1.13
% 4.55/1.13 # -------------------------------------------------
% 4.55/1.13 # User time : 0.545 s
% 4.55/1.13 # System time : 0.020 s
% 4.55/1.13 # Total time : 0.565 s
% 4.55/1.13 # Maximum resident set size: 1680 pages
% 4.55/1.13 % E---3.1 exiting
%------------------------------------------------------------------------------