%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU387+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 : 600s
% DateTime : Tue Jul 19 14:22:11 EDT 2022
% Result : Theorem 0.39s 0.61s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 16
% Syntax : Number of clauses : 19 ( 17 unt; 1 nHn; 13 RR)
% Number of literals : 31 ( 3 equ; 13 neg)
% Maximal clause size : 12 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 10 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(30,axiom,
rel_str(boole_POSet(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
cnf(43,axiom,
~ empty_carrier(boole_POSet(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel_7) ).
cnf(44,axiom,
reflexive_relstr(boole_POSet(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel_7) ).
cnf(45,axiom,
transitive_relstr(boole_POSet(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel_7) ).
cnf(46,axiom,
antisymmetric_relstr(boole_POSet(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel_7) ).
cnf(47,axiom,
lower_bounded_relstr(boole_POSet(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel_7) ).
cnf(167,axiom,
bottom_of_relstr(boole_POSet(X)) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_yellow_1) ).
cnf(171,negated_conjecture,
~ empty('SKOLEMAAAV29'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_yellow19) ).
cnf(172,negated_conjecture,
filtered_subset('SKOLEMAAAV29',boole_POSet('SKOLEMAAAV28')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_yellow19) ).
cnf(173,negated_conjecture,
upper_relstr_subset('SKOLEMAAAV29',boole_POSet('SKOLEMAAAV28')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_yellow19) ).
cnf(174,negated_conjecture,
proper_element('SKOLEMAAAV29',powerset(the_carrier(boole_POSet('SKOLEMAAAV28')))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_yellow19) ).
cnf(175,negated_conjecture,
element('SKOLEMAAAV29',powerset(the_carrier(boole_POSet('SKOLEMAAAV28')))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_yellow19) ).
cnf(176,negated_conjecture,
in('SKOLEMAAAV30','SKOLEMAAAV29'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_yellow19) ).
cnf(177,negated_conjecture,
empty('SKOLEMAAAV30'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_yellow19) ).
cnf(182,axiom,
( ~ empty(X)
| X = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
cnf(185,axiom,
( empty_carrier(X)
| ~ reflexive_relstr(X)
| ~ transitive_relstr(X)
| ~ antisymmetric_relstr(X)
| ~ lower_bounded_relstr(X)
| ~ rel_str(X)
| empty(Y)
| ~ filtered_subset(Y,X)
| ~ upper_relstr_subset(Y,X)
| ~ element(Y,powerset(the_carrier(X)))
| ~ proper_element(Y,powerset(the_carrier(X)))
| ~ in(bottom_of_relstr(X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_waybel_7) ).
cnf(201,plain,
'SKOLEMAAAV30' = empty_set,
inference('HYPERRESOLVE',[status(thm)],[182,177]) ).
cnf(202,plain,
in(empty_set,'SKOLEMAAAV29'),
inference('REWRITE',[status(thm)],[176,201,theory(equality)]) ).
cnf(450,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[185,43,44,45,46,47,30,171,172,173,175,174]),202,167,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU387+1 : TPTP v8.1.0. Released v3.3.0.
% 0.14/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.36 % CPULimit : 300
% 0.21/0.36 % WCLimit : 600
% 0.21/0.36 % DateTime : Sun Jun 19 09:42:29 EDT 2022
% 0.21/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.51 #<PACKAGE "SNARK-USER">
% 0.21/0.51 *
% 0.21/0.51 SNARK-TPTP-OPTIONS
% 0.21/0.51 *
% 0.21/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51 (USE-FACTORING :POS)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51 *
% 0.21/0.51 "."
% 0.21/0.51 *
% 0.21/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T09:42:29
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-19T09:42:29
% 0.38/0.55 WARNING:
% 0.38/0.55 |v1_yellow_3| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.38/0.55 WARNING:
% 0.38/0.55 |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.55 WARNING:
% 0.38/0.55 |connected_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.55 WARNING:
% 0.38/0.55 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.55 WARNING:
% 0.38/0.55 |distributive_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.55 WARNING:
% 0.38/0.55 |heyting_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.55 WARNING:
% 0.38/0.55 |complemented_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.55 WARNING:
% 0.38/0.55 |boolean_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.55 WARNING:
% 0.38/0.55 |directed_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.39/0.61
% 0.39/0.61
% 0.39/0.61 #||
% 0.39/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.61 % SZS output start Refutation
% See solution above
% 0.39/0.61 ||#
% 0.39/0.61
% 0.39/0.61 ; Summary of computation:
% 0.39/0.61 ; 774 formulas have been input or derived (from 187 formulas).
% 0.39/0.61 ; 450 (58%) were retained. Of these,
% 0.39/0.61 ; 9 ( 2%) were simplified or subsumed later,
% 0.39/0.61 ; 441 (98%) are still being kept.
% 0.39/0.61 ;
% 0.39/0.61 ; Run time in seconds excluding printing time:
% 0.39/0.61 ; 0.023 22% Read assertion file (1 call)
% 0.39/0.61 ; 0.006 6% Assert (85 calls)
% 0.39/0.61 ; 0.018 17% Process new row (740 calls)
% 0.39/0.61 ; 0.018 17% Resolution (372 calls)
% 0.39/0.61 ; 0.002 2% Paramodulation (186 calls)
% 0.39/0.61 ; 0.000 0% Factoring (5 calls)
% 0.39/0.61 ; 0.002 2% Condensing (113 calls)
% 0.39/0.61 ; 0.001 1% Forward subsumption (113 calls)
% 0.39/0.61 ; 0.001 1% Backward subsumption (108 calls)
% 0.39/0.61 ; 0.000 0% Clause clause subsumption (25 calls)
% 0.39/0.61 ; 0.004 4% Forward simplification (709 calls)
% 0.39/0.61 ; 0.003 3% Backward simplification (450 calls)
% 0.39/0.61 ; 0.000 0% Ordering (115 calls)
% 0.39/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.61 ; 0.002 2% Purity testing (1 call)
% 0.39/0.61 ; 0.024 23% Other
% 0.39/0.61 ; 0.104 Total
% 0.39/0.61 ; 0.106 Real time
% 0.39/0.61 ;
% 0.39/0.61 ; Term-hash-array has 650 terms in all.
% 0.39/0.61 ; Feature-vector-row-index has 107 entries (107 at peak, 108 added, 1 deleted).
% 0.39/0.61 ; Feature-vector-row-index has 370 nodes (370 at peak, 378 added, 8 deleted).
% 0.39/0.61 ; Retrieved 37 possibly forward subsuming rows in 113 calls.
% 0.39/0.61 ; Retrieved 29 possibly backward subsumed rows in 108 calls.
% 0.39/0.61 ; Path-index has 660 entries (660 at peak, 668 added, 8 deleted).
% 0.39/0.61 ; Path-index has 1,013 nodes (1,013 at peak, 1,022 added, 9 deleted).
% 0.39/0.61 ; Trie-index has 660 entries (660 at peak, 668 added, 8 deleted).
% 0.39/0.61 ; Trie-index has 1,299 nodes (1,299 at peak, 1,313 added, 14 deleted).
% 0.39/0.61 ; Retrieved 380 generalization terms in 928 calls.
% 0.39/0.61 ; Retrieved 374 instance terms in 341 calls.
% 0.39/0.61 ; Retrieved 12,516 unifiable terms in 5,072 calls.
% 0.39/0.61 ;
% 0.39/0.61 ; The agenda of rows to process has 1 entry:
% 0.39/0.61 ; 1 with value 70
% 0.39/0.61 ; The agenda of input rows to give has 1 entry:
% 0.39/0.61 ; 1 with value 51
% 0.39/0.61 ; The agenda of rows to give has 258 entries:
% 0.39/0.61 ; 23 with value (4 4) 24 with value (4 9) 1 with value (4 14)
% 0.39/0.61 ; 5 with value (4 5) 40 with value (4 10) 3 with value (4 15)
% 0.39/0.61 ; 40 with value (4 6) 16 with value (4 11) 6 with value (4 16)
% 0.39/0.61 ; 41 with value (4 7) 7 with value (4 12) 2 with value (4 18)
% 0.39/0.61 ; 38 with value (4 8) 12 with value (4 13)
% 0.39/0.61 Evaluation took:
% 0.39/0.61 0.107 seconds of real time
% 0.39/0.61 0.092563 seconds of user run time
% 0.39/0.61 0.013809 seconds of system run time
% 0.39/0.61 0 calls to %EVAL
% 0.39/0.61 0 page faults and
% 0.39/0.61 6,969,000 bytes consed.
% 0.39/0.61 :PROOF-FOUND
% 0.39/0.61 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T09:42:29
% 0.39/0.61 :PROOF-FOUND
% 0.39/0.61 *
%------------------------------------------------------------------------------