TSTP Solution File: SWV909-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV909-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 : Wed Jul 20 21:36:25 EDT 2022
% Result : Unsatisfiable 1.71s 1.92s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 12 unt; 2 nHn; 5 RR)
% Number of literals : 16 ( 7 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-4 aty)
% Number of variables : 24 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Collect__def_0,axiom,
c_Collect(X,Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(cls_singleton__conv2_0,axiom,
c_Collect(hAPP(c_fequal(X),Y),X) = hAPP(c_Set_Oinsert(Y,X),c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
cnf(439,plain,
hAPP(c_fequal(X),Y) = hAPP(c_Set_Oinsert(Y,X),c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool))),
inference('REWRITE',[status(thm)],[cls_singleton__conv2_0,cls_Collect__def_0,theory(equality)]) ).
cnf(cls_hoare__derivs_Ointros_I6_J_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(Y,Z,U,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| hBOOL(hAPP(hAPP(Y,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X,Y,U,Z)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X,Y,U,Z))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__derivs_Ointros_I6_J_0) ).
cnf(500,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(Y,Z,U,t_a)),t_a)
| hBOOL(hAPP(hAPP(Y,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X,Y,U,Z)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X,Y,U,Z))) ),
inference('REWRITE',[status(thm)],[cls_hoare__derivs_Ointros_I6_J_0,439,theory(equality)]) ).
cnf(cls_empty__def_0,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)) = c_Collect(c_COMBK(c_False,tc_bool,X),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__def_0) ).
cnf(525,plain,
c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)) = c_COMBK(c_False,tc_bool,X),
inference('REWRITE',[status(thm)],[cls_empty__def_0,cls_Collect__def_0,theory(equality)]) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)),Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_COMBK__def_0,axiom,
hAPP(c_COMBK(X,Y,Z),U) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBK__def_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(557,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,v_Q,t_a)),t_a),
inference('REWRITE',[status(thm)],[cls_conjecture_0,439,525,theory(equality)]) ).
cnf(660,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)),Y) = c_False,
inference('PARAMODULATE',[status(thm)],[cls_COMBK__def_0,525,theory(equality)]) ).
cnf(661,plain,
~ hBOOL(c_False),
inference('REWRITE',[status(thm)],[cls_bot1E_0,660,theory(equality)]) ).
cnf(3299,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[557,500]),661,660,cls_COMBK__def_0,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWV909-1 : TPTP v8.1.0. Released v4.1.0.
% 0.09/0.11 % Command : run-snark %s %d
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jun 15 20:07:09 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.44 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T20:07:09
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-15T20:07:09
% 0.38/0.62 WARNING:
% 0.38/0.62 |c_Record_Oiso__tuple__update__accessor__cong__assist| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.38/0.62 WARNING:
% 0.38/0.62 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.38/0.62 WARNING:
% 0.38/0.62 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.38/0.62 WARNING:
% 0.38/0.62 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.38/0.62 WARNING:
% 0.38/0.62 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.38/0.62 WARNING:
% 0.38/0.62 |c_Wellfounded_OwfP| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 1.71/1.92
% 1.71/1.92
% 1.71/1.92 #||
% 1.71/1.92 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.71/1.92 % SZS output start Refutation
% See solution above
% 1.71/1.93 ||#
% 1.71/1.93
% 1.71/1.93 ; Summary of computation:
% 1.71/1.93 ; 5974 formulas have been input or derived (from 392 formulas).
% 1.71/1.93 ; 3299 (55%) were retained. Of these,
% 1.71/1.93 ; 155 ( 5%) were simplified or subsumed later,
% 1.71/1.93 ; 3144 (95%) are still being kept.
% 1.71/1.93 ;
% 1.71/1.93 ; Run time in seconds excluding printing time:
% 1.71/1.93 ; 0.150 10% Read assertion file (1 call)
% 1.71/1.93 ; 0.012 1% Assert (661 calls)
% 1.71/1.93 ; 0.397 27% Process new row (5,551 calls)
% 1.71/1.93 ; 0.105 7% Resolution (782 calls)
% 1.71/1.93 ; 0.055 4% Paramodulation (391 calls)
% 1.71/1.93 ; 0.000 0% Factoring (9 calls)
% 1.71/1.93 ; 0.031 2% Condensing (2,313 calls)
% 1.71/1.93 ; 0.212 14% Forward subsumption (2,313 calls)
% 1.71/1.93 ; 0.069 5% Backward subsumption (1,841 calls)
% 1.71/1.93 ; 0.059 4% Clause clause subsumption (3,017 calls)
% 1.71/1.93 ; 0.197 13% Forward simplification (5,459 calls)
% 1.71/1.93 ; 0.025 2% Backward simplification (3,235 calls)
% 1.71/1.93 ; 0.105 7% Ordering (13,471 calls)
% 1.71/1.93 ; 0.000 0% Sortal reasoning (32 calls)
% 1.71/1.93 ; 0.001 0% Purity testing (1 call)
% 1.71/1.93 ; 0.058 4% Other
% 1.71/1.93 ; 1.476 Total
% 1.71/1.93 ; 1.478 Real time
% 1.71/1.93 ;
% 1.71/1.93 ; Term-hash-array has 11,448 terms in all.
% 1.71/1.93 ; Feature-vector-row-index has 1,799 entries (1,799 at peak, 1,841 added, 42 deleted).
% 1.71/1.93 ; Feature-vector-row-index has 17,060 nodes (17,060 at peak, 17,809 added, 749 deleted).
% 1.71/1.93 ; Retrieved 4,368 possibly forward subsuming rows in 2,313 calls.
% 1.71/1.93 ; Retrieved 562 possibly backward subsumed rows in 1,841 calls.
% 1.71/1.93 ; Path-index has 11,216 entries (11,216 at peak, 11,532 added, 316 deleted).
% 1.71/1.93 ; Path-index has 23,895 nodes (23,895 at peak, 24,492 added, 597 deleted).
% 1.71/1.93 ; Trie-index has 11,216 entries (11,216 at peak, 11,532 added, 316 deleted).
% 1.71/1.93 ; Trie-index has 49,005 nodes (49,005 at peak, 50,860 added, 1,855 deleted).
% 1.71/1.93 ; Retrieved 13,898 generalization terms in 32,523 calls.
% 1.71/1.93 ; Retrieved 2,616 instance terms in 1,807 calls.
% 1.71/1.93 ; Retrieved 171,416 unifiable terms in 4,462 calls.
% 1.71/1.93 ;
% 1.71/1.93 ; The agenda of rows to process has 9 entries:
% 1.71/1.93 ; 3 with value 46 1 with value 54 2 with value 72
% 1.71/1.93 ; 1 with value 53 2 with value 63
% 1.71/1.93 ; The agenda of input rows to give has 117 entries:
% 1.71/1.93 ; 2 with value 34 1 with value 44 1 with value 55
% 1.71/1.93 ; 2 with value 35 12 with value 45 5 with value 56
% 1.71/1.93 ; 15 with value 36 9 with value 46 1 with value 57
% 1.71/1.93 ; 9 with value 37 1 with value 47 2 with value 58
% 1.71/1.93 ; 3 with value 38 2 with value 48 2 with value 60
% 1.71/1.93 ; 6 with value 39 8 with value 49 3 with value 63
% 1.71/1.93 ; 1 with value 40 3 with value 50 2 with value 67
% 1.71/1.93 ; 4 with value 41 2 with value 51 1 with value 69
% 1.71/1.93 ; 8 with value 42 2 with value 52 1 with value 70
% 1.71/1.93 ; 8 with value 43 1 with value 53
% 1.71/1.93 ; The agenda of rows to give has 2642 entries:
% 1.71/1.93 ; 1 with value (4 5) 78 with value (4 31) 20 with value (4 55)
% 1.71/1.93 ; 1 with value (4 6) 73 with value (4 32) 8 with value (4 56)
% 1.71/1.93 ; 24 with value (4 7) 67 with value (4 33) 20 with value (4 57)
% 1.71/1.93 ; 2 with value (4 10) 91 with value (4 34) 8 with value (4 58)
% 1.71/1.93 ; 2 with value (4 11) 109 with value (4 35) 15 with value (4 59)
% 1.71/1.93 ; 13 with value (4 12) 85 with value (4 36) 11 with value (4 60)
% 1.71/1.93 ; 34 with value (4 13) 74 with value (4 37) 14 with value (4 61)
% 1.71/1.93 ; 34 with value (4 14) 84 with value (4 38) 7 with value (4 62)
% 1.71/1.93 ; 32 with value (4 15) 89 with value (4 39) 4 with value (4 63)
% 1.71/1.93 ; 42 with value (4 16) 98 with value (4 40) 7 with value (4 64)
% 1.71/1.93 ; 43 with value (4 17) 109 with value (4 41) 7 with value (4 65)
% 1.71/1.93 ; 58 with value (4 18) 66 with value (4 42) 10 with value (4 66)
% 1.71/1.93 ; 48 with value (4 19) 73 with value (4 43) 6 with value (4 67)
% 1.71/1.93 ; 32 with value (4 20) 64 with value (4 44) 1 with value (4 68)
% 1.71/1.93 ; 33 with value (4 21) 49 with value (4 45) 5 with value (4 70)
% 1.71/1.93 ; 34 with value (4 22) 35 with value (4 46) 1 with value (4 71)
% 1.71/1.93 ; 48 with value (4 23) 28 with value (4 47) 1 with value (4 72)
% 1.71/1.93 ; 69 with value (4 24) 45 with value (4 48) 5 with value (4 73)
% 1.71/1.93 ; 54 with value (4 25) 32 with value (4 49) 2 with value (4 74)
% 1.71/1.93 ; 88 with value (4 26) 29 with value (4 50) 1 with value (4 75)
% 1.71/1.93 ; 99 with value (4 27) 23 with value (4 51) 1 with value (4 76)
% 1.71/1.93 ; 85 with value (4 28) 24 with value (4 52) 1 with value (4 77)
% 1.71/1.93 ; 89 with value (4 29) 16 with value (4 53) 1 with value (4 80)
% 1.71/1.93 ; 61 with value (4 30) 19 with value (4 54)
% 1.71/1.93 Evaluation took:
% 1.71/1.93 1.479 seconds of real time
% 1.71/1.93 1.355444 seconds of user run time
% 1.71/1.93 0.123929 seconds of system run time
% 1.71/1.93 [Run times include 0.2 seconds GC run time.]
% 1.71/1.93 0 calls to %EVAL
% 1.71/1.93 0 page faults and
% 1.71/1.93 116,997,792 bytes consed.
% 1.71/1.93 :PROOF-FOUND
% 1.71/1.93 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T20:07:10
% 1.71/1.93 :PROOF-FOUND
% 1.71/1.93 *
%------------------------------------------------------------------------------