TSTP Solution File: ITP176^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP176^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 22:16:40 EDT 2024
% Result : Theorem 0.63s 0.65s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 17
% Syntax : Number of formulae : 22 ( 7 unt; 15 typ; 0 def)
% Number of atoms : 15 ( 6 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 97 ( 3 ~; 0 |; 0 &; 94 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 8 ( 8 ^ 0 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
set_Product_prod_b_b: $tType ).
thf(decl_sort2,type,
b: $tType ).
thf(decl_sort3,type,
set_b: $tType ).
thf(decl_sort4,type,
standard_Constant_a: $tType ).
thf(decl_sort5,type,
labele1159362096nt_a_b: $tType ).
thf(decl_32,type,
hilbert_Eps_b: ( b > $o ) > b ).
thf(decl_34,type,
standard_S_Idt_a: standard_Constant_a ).
thf(decl_35,type,
getRel904497637nt_a_b: standard_Constant_a > labele1159362096nt_a_b > set_Product_prod_b_b ).
thf(decl_58,type,
bot_bot_set_b: set_b ).
thf(decl_82,type,
image_b_b: set_Product_prod_b_b > set_b > set_b ).
thf(decl_99,type,
insert_b: b > set_b > set_b ).
thf(decl_117,type,
member_b: b > set_b > $o ).
thf(decl_118,type,
g: labele1159362096nt_a_b ).
thf(decl_121,type,
x: b ).
thf(decl_122,type,
y: b ).
thf(conj_0,conjecture,
( ( hilbert_Eps_b
@ ^ [X3: b] : ( member_b @ X3 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
= ( hilbert_Eps_b
@ ^ [X3: b] : ( member_b @ X3 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(fact_0__092_060open_062getRel_AS__Idt_AG_A_096_096_A_123x_125_A_061_AgetRel_AS__Idt_AG_A_096_096_A_123y_125_092_060close_062,axiom,
( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) )
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062getRel_AS__Idt_AG_A_096_096_A_123x_125_A_061_AgetRel_AS__Idt_AG_A_096_096_A_123y_125_092_060close_062) ).
thf(c_0_2,negated_conjecture,
( ( hilbert_Eps_b
@ ^ [Z0: b] : ( member_b @ Z0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
!= ( hilbert_Eps_b
@ ^ [Z0: b] : ( member_b @ Z0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])]) ).
thf(c_0_3,negated_conjecture,
( ( hilbert_Eps_b
@ ^ [Z0: b] : ( member_b @ Z0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
!= ( hilbert_Eps_b
@ ^ [Z0: b] : ( member_b @ Z0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( ( ^ [Z0: b] : ( member_b @ Z0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) )
!= ( ^ [Z0: b] : ( member_b @ Z0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) ) ),
inference(ext_eqres,[status(thm)],[c_0_3]) ).
thf(c_0_5,plain,
( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) )
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ),
inference(split_conjunct,[status(thm)],[fact_0__092_060open_062getRel_AS__Idt_AG_A_096_096_A_123x_125_A_061_AgetRel_AS__Idt_AG_A_096_096_A_123y_125_092_060close_062]) ).
thf(c_0_6,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_4]),c_0_5])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP176^1 : TPTP v8.2.0. Released v7.5.0.
% 0.14/0.14 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 16:27:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running higher-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.65 # Version: 3.1.0-ho
% 0.63/0.65 # Preprocessing class: HSLMSMSMSSLCSSA.
% 0.63/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.63/0.65 # Starting new_ho_11 with 1200s (4) cores
% 0.63/0.65 # Starting new_bool_2 with 600s (2) cores
% 0.63/0.65 # Starting new_bool_4 with 300s (1) cores
% 0.63/0.65 # Starting post_as_ho5 with 300s (1) cores
% 0.63/0.65 # new_bool_2 with pid 5643 completed with status 0
% 0.63/0.65 # Result found by new_bool_2
% 0.63/0.65 # Preprocessing class: HSLMSMSMSSLCSSA.
% 0.63/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.63/0.65 # Starting new_ho_11 with 1200s (4) cores
% 0.63/0.65 # Starting new_bool_2 with 600s (2) cores
% 0.63/0.65 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.63/0.65 # Search class: HGHSM-FSLM31-DSSFFSBC
% 0.63/0.65 # partial match(1): HGHSM-FSLM31-DSSFFSBN
% 0.63/0.65 # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.63/0.65 # Starting new_ho_10 with 241s (1) cores
% 0.63/0.65 # Starting new_bool_1 with 91s (1) cores
% 0.63/0.65 # new_bool_1 with pid 5649 completed with status 0
% 0.63/0.65 # Result found by new_bool_1
% 0.63/0.65 # Preprocessing class: HSLMSMSMSSLCSSA.
% 0.63/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.63/0.65 # Starting new_ho_11 with 1200s (4) cores
% 0.63/0.65 # Starting new_bool_2 with 600s (2) cores
% 0.63/0.65 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.63/0.65 # Search class: HGHSM-FSLM31-DSSFFSBC
% 0.63/0.65 # partial match(1): HGHSM-FSLM31-DSSFFSBN
% 0.63/0.65 # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.63/0.65 # Starting new_ho_10 with 241s (1) cores
% 0.63/0.65 # Starting new_bool_1 with 91s (1) cores
% 0.63/0.65 # Preprocessing time : 0.006 s
% 0.63/0.65 # Presaturation interreduction done
% 0.63/0.65
% 0.63/0.65 # Proof found!
% 0.63/0.65 # SZS status Theorem
% 0.63/0.65 # SZS output start CNFRefutation
% See solution above
% 0.63/0.65 # Parsed axioms : 489
% 0.63/0.65 # Removed by relevancy pruning/SinE : 315
% 0.63/0.65 # Initial clauses : 292
% 0.63/0.65 # Removed in clause preprocessing : 15
% 0.63/0.65 # Initial clauses in saturation : 277
% 0.63/0.65 # Processed clauses : 334
% 0.63/0.65 # ...of these trivial : 5
% 0.63/0.65 # ...subsumed : 61
% 0.63/0.65 # ...remaining for further processing : 268
% 0.63/0.65 # Other redundant clauses eliminated : 45
% 0.63/0.65 # Clauses deleted for lack of memory : 0
% 0.63/0.65 # Backward-subsumed : 2
% 0.63/0.65 # Backward-rewritten : 2
% 0.63/0.65 # Generated clauses : 74
% 0.63/0.65 # ...of the previous two non-redundant : 51
% 0.63/0.65 # ...aggressively subsumed : 0
% 0.63/0.65 # Contextual simplify-reflections : 4
% 0.63/0.65 # Paramodulations : 3
% 0.63/0.65 # Factorizations : 0
% 0.63/0.65 # NegExts : 5
% 0.63/0.65 # Equation resolutions : 45
% 0.63/0.65 # Disequality decompositions : 0
% 0.63/0.65 # Total rewrite steps : 26
% 0.63/0.65 # ...of those cached : 10
% 0.63/0.65 # Propositional unsat checks : 0
% 0.63/0.65 # Propositional check models : 0
% 0.63/0.65 # Propositional check unsatisfiable : 0
% 0.63/0.65 # Propositional clauses : 0
% 0.63/0.65 # Propositional clauses after purity: 0
% 0.63/0.65 # Propositional unsat core size : 0
% 0.63/0.65 # Propositional preprocessing time : 0.000
% 0.63/0.65 # Propositional encoding time : 0.000
% 0.63/0.65 # Propositional solver time : 0.000
% 0.63/0.65 # Success case prop preproc time : 0.000
% 0.63/0.65 # Success case prop encoding time : 0.000
% 0.63/0.65 # Success case prop solver time : 0.000
% 0.63/0.65 # Current number of processed clauses : 32
% 0.63/0.65 # Positive orientable unit clauses : 13
% 0.63/0.65 # Positive unorientable unit clauses: 0
% 0.63/0.65 # Negative unit clauses : 11
% 0.63/0.65 # Non-unit-clauses : 8
% 0.63/0.65 # Current number of unprocessed clauses: 191
% 0.63/0.65 # ...number of literals in the above : 419
% 0.63/0.65 # Current number of archived formulas : 0
% 0.63/0.65 # Current number of archived clauses : 201
% 0.63/0.65 # Clause-clause subsumption calls (NU) : 5203
% 0.63/0.65 # Rec. Clause-clause subsumption calls : 2922
% 0.63/0.65 # Non-unit clause-clause subsumptions : 53
% 0.63/0.65 # Unit Clause-clause subsumption calls : 98
% 0.63/0.65 # Rewrite failures with RHS unbound : 0
% 0.63/0.65 # BW rewrite match attempts : 453
% 0.63/0.65 # BW rewrite match successes : 93
% 0.63/0.65 # Condensation attempts : 0
% 0.63/0.65 # Condensation successes : 0
% 0.63/0.65 # Termbank termtop insertions : 30055
% 0.63/0.65 # Search garbage collected termcells : 6724
% 0.63/0.65
% 0.63/0.65 # -------------------------------------------------
% 0.63/0.65 # User time : 0.045 s
% 0.63/0.65 # System time : 0.008 s
% 0.63/0.65 # Total time : 0.052 s
% 0.63/0.65 # Maximum resident set size: 3784 pages
% 0.63/0.65
% 0.63/0.65 # -------------------------------------------------
% 0.63/0.65 # User time : 0.088 s
% 0.63/0.65 # System time : 0.016 s
% 0.63/0.65 # Total time : 0.104 s
% 0.63/0.65 # Maximum resident set size: 2708 pages
% 0.63/0.65 % E---3.1 exiting
% 0.63/0.65 % E exiting
%------------------------------------------------------------------------------