%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV905-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 21:36:24 EDT 2022
% Result : Unsatisfiable 2.24s 2.43s
% Output : Refutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 19 ( 14 unt; 1 nHn; 12 RR)
% Number of literals : 28 ( 9 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-3 aty)
% Number of variables : 22 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Collect__def_0,axiom,
c_Collect(X,Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(cls_Un__empty__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X,c_Orderings_Obot__class_Obot(tc_fun(Y,tc_bool)),tc_fun(Y,tc_bool)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
cnf(cls_singleton__conv2_0,axiom,
c_Collect(c_fequal(X,Y),Y) = c_Set_Oinsert(X,c_Orderings_Obot__class_Obot(tc_fun(Y,tc_bool)),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
cnf(302,plain,
c_fequal(X,Y) = c_Set_Oinsert(X,c_Orderings_Obot__class_Obot(tc_fun(Y,tc_bool)),Y),
inference('REWRITE',[status(thm)],[cls_singleton__conv2_0,cls_Collect__def_0,theory(equality)]) ).
cnf(cls_insert__is__Un_0,axiom,
c_Set_Oinsert(X,Y,Z) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X,c_Orderings_Obot__class_Obot(tc_fun(Z,tc_bool)),Z),Y,tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).
cnf(334,plain,
c_Set_Oinsert(X,Y,Z) = c_Lattices_Oupper__semilattice__class_Osup(c_fequal(X,Z),Y,tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[cls_insert__is__Un_0,302,theory(equality)]) ).
cnf(cls_domIff_0,axiom,
( hAPP(X,Y) != c_Option_Ooption_ONone(Z)
| ~ hBOOL(c_in(Y,c_Map_Odom(X,U,Z),U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_domIff_0) ).
cnf(cls_WT_OBody_0,axiom,
( c_Com_OWT(c_Com_Ocom_OBODY(X))
| hAPP(c_Com_Obody,X) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT_OBody_0) ).
cnf(cls_MGF_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(X),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X)
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGF_0) ).
cnf(386,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_fequal(c_Hoare__Mirabelle_OMGT(X),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X)
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference('REWRITE',[status(thm)],[cls_MGF_0,cls_Un__empty__right_0,334,theory(equality)]) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_3,negated_conjecture,
hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(420,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_fequal(c_Hoare__Mirabelle_OMGT(c_Com_Ocom_OBODY(v_x)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference('REWRITE',[status(thm)],[cls_conjecture_4,cls_Un__empty__right_0,334,theory(equality)]) ).
cnf(461,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_fequal(c_Hoare__Mirabelle_OMGT(X),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X) ),
inference('REWRITE',[status(thm)],[386,cls_conjecture_1,cls_conjecture_0]) ).
cnf(647,plain,
hAPP(c_Com_Obody,v_x) != c_Option_Ooption_ONone(tc_Com_Ocom),
inference('UR-RESOLVE',[status(thm)],[cls_domIff_0,cls_conjecture_3]) ).
cnf(650,plain,
~ c_Com_OWT(c_Com_Ocom_OBODY(v_x)),
inference('UR-RESOLVE',[status(thm)],[461,420]) ).
cnf(2590,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[650,cls_WT_OBody_0]),647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV905-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 08:38:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T08:38:55
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-15T08:38:55
% 0.41/0.61 WARNING:
% 0.41/0.61 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.61 WARNING:
% 0.41/0.61 |c_Complete__Lattice_Ocomplete__lattice| is a 9-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.61 WARNING:
% 0.41/0.61 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.61 WARNING:
% 0.41/0.61 |c_OrderedGroup_Oab__semigroup__mult| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 2.24/2.43
% 2.24/2.43
% 2.24/2.43 #||
% 2.24/2.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.24/2.43 % SZS output start Refutation
% See solution above
% 2.24/2.43 ||#
% 2.24/2.43
% 2.24/2.43 ; Summary of computation:
% 2.24/2.43 ; 6162 formulas have been input or derived (from 377 formulas).
% 2.24/2.43 ; 2590 (42%) were retained. Of these,
% 2.24/2.43 ; 288 (11%) were simplified or subsumed later,
% 2.24/2.43 ; 2302 (89%) are still being kept.
% 2.24/2.43 ;
% 2.24/2.43 ; Run time in seconds excluding printing time:
% 2.24/2.43 ; 0.114 6% Read assertion file (1 call)
% 2.24/2.43 ; 0.009 0% Assert (486 calls)
% 2.24/2.43 ; 0.384 20% Process new row (5,605 calls)
% 2.24/2.43 ; 0.094 5% Resolution (752 calls)
% 2.24/2.43 ; 0.059 3% Paramodulation (376 calls)
% 2.24/2.43 ; 0.000 0% Factoring (9 calls)
% 2.24/2.43 ; 0.035 2% Condensing (1,859 calls)
% 2.24/2.43 ; 0.252 13% Forward subsumption (1,859 calls)
% 2.24/2.43 ; 0.045 2% Backward subsumption (1,393 calls)
% 2.24/2.43 ; 0.024 1% Clause clause subsumption (5,302 calls)
% 2.24/2.43 ; 0.422 22% Forward simplification (5,471 calls)
% 2.24/2.43 ; 0.060 3% Backward simplification (2,528 calls)
% 2.24/2.43 ; 0.404 21% Ordering (25,453 calls)
% 2.24/2.43 ; 0.001 0% Sortal reasoning (32 calls)
% 2.24/2.43 ; 0.001 0% Purity testing (1 call)
% 2.24/2.43 ; 0.049 3% Other
% 2.24/2.43 ; 1.953 Total
% 2.24/2.43 ; 1.955 Real time
% 2.24/2.43 ;
% 2.27/2.43 ; Term-hash-array has 8,432 terms in all.
% 2.27/2.43 ; Feature-vector-row-index has 1,301 entries (1,301 at peak, 1,393 added, 92 deleted).
% 2.27/2.43 ; Feature-vector-row-index has 13,998 nodes (13,998 at peak, 15,020 added, 1,022 deleted).
% 2.27/2.43 ; Retrieved 5,935 possibly forward subsuming rows in 1,859 calls.
% 2.27/2.43 ; Retrieved 547 possibly backward subsumed rows in 1,393 calls.
% 2.27/2.43 ; Path-index has 7,784 entries (7,784 at peak, 8,600 added, 816 deleted).
% 2.27/2.43 ; Path-index has 23,905 nodes (23,920 at peak, 25,883 added, 1,978 deleted).
% 2.27/2.43 ; Trie-index has 7,784 entries (7,784 at peak, 8,600 added, 816 deleted).
% 2.27/2.43 ; Trie-index has 42,166 nodes (42,760 at peak, 50,448 added, 8,282 deleted).
% 2.27/2.43 ; Retrieved 51,080 generalization terms in 40,605 calls.
% 2.27/2.43 ; Retrieved 3,741 instance terms in 1,345 calls.
% 2.27/2.43 ; Retrieved 136,335 unifiable terms in 3,902 calls.
% 2.27/2.43 ;
% 2.27/2.43 ; The agenda of rows to process has 1 entry:
% 2.27/2.43 ; 1 with value 13
% 2.27/2.43 ; The agenda of rows to give has 1933 entries:
% 2.27/2.43 ; 1 with value (4 6) 40 with value (4 40) 6 with value (4 74)
% 2.27/2.43 ; 21 with value (4 7) 25 with value (4 41) 12 with value (4 75)
% 2.27/2.43 ; 4 with value (4 8) 35 with value (4 42) 2 with value (4 76)
% 2.27/2.43 ; 5 with value (4 9) 28 with value (4 43) 9 with value (4 77)
% 2.27/2.43 ; 6 with value (4 10) 39 with value (4 44) 9 with value (4 78)
% 2.27/2.43 ; 14 with value (4 11) 46 with value (4 45) 7 with value (4 79)
% 2.27/2.43 ; 5 with value (4 12) 42 with value (4 46) 10 with value (4 80)
% 2.27/2.43 ; 6 with value (4 13) 44 with value (4 47) 5 with value (4 81)
% 2.27/2.43 ; 14 with value (4 14) 31 with value (4 48) 4 with value (4 82)
% 2.27/2.43 ; 13 with value (4 15) 44 with value (4 49) 4 with value (4 83)
% 2.27/2.43 ; 14 with value (4 16) 34 with value (4 50) 4 with value (4 84)
% 2.27/2.43 ; 18 with value (4 17) 28 with value (4 51) 1 with value (4 85)
% 2.27/2.43 ; 26 with value (4 18) 40 with value (4 52) 5 with value (4 86)
% 2.27/2.43 ; 17 with value (4 19) 52 with value (4 53) 10 with value (4 87)
% 2.27/2.43 ; 14 with value (4 20) 39 with value (4 54) 2 with value (4 88)
% 2.27/2.43 ; 24 with value (4 21) 39 with value (4 55) 1 with value (4 89)
% 2.27/2.43 ; 28 with value (4 22) 36 with value (4 56) 1 with value (4 90)
% 2.27/2.43 ; 25 with value (4 23) 27 with value (4 57) 1 with value (4 91)
% 2.27/2.43 ; 30 with value (4 24) 24 with value (4 58) 2 with value (4 92)
% 2.27/2.43 ; 18 with value (4 25) 18 with value (4 59) 5 with value (4 93)
% 2.27/2.43 ; 31 with value (4 26) 21 with value (4 60) 1 with value (4 94)
% 2.27/2.43 ; 28 with value (4 27) 18 with value (4 61) 2 with value (4 95)
% 2.27/2.43 ; 36 with value (4 28) 22 with value (4 62) 2 with value (4 96)
% 2.27/2.43 ; 43 with value (4 29) 26 with value (4 63) 2 with value (4 97)
% 2.27/2.43 ; 24 with value (4 30) 23 with value (4 64) 1 with value (4 98)
% 2.27/2.43 ; 43 with value (4 31) 22 with value (4 65) 3 with value (4 100)
% 2.27/2.43 ; 46 with value (4 32) 16 with value (4 66) 2 with value (4 101)
% 2.27/2.43 ; 40 with value (4 33) 7 with value (4 67) 3 with value (4 102)
% 2.27/2.43 ; 47 with value (4 34) 10 with value (4 68) 1 with value (4 103)
% 2.27/2.43 ; 45 with value (4 35) 11 with value (4 69) 2 with value (4 107)
% 2.27/2.43 ; 38 with value (4 36) 10 with value (4 70) 1 with value (4 108)
% 2.27/2.43 ; 35 with value (4 37) 10 with value (4 71) 1 with value (4 111)
% 2.27/2.43 ; 33 with value (4 38) 12 with value (4 72) 1 with value (4 114)
% 2.27/2.43 ; 86 with value (4 39) 12 with value (4 73) 2 with value (4 141)
% 2.27/2.43 Evaluation took:
% 2.27/2.43 1.958 seconds of real time
% 2.27/2.43 1.834081 seconds of user run time
% 2.27/2.43 0.12319 seconds of system run time
% 2.27/2.43 [Run times include 0.213 seconds GC run time.]
% 2.27/2.43 0 calls to %EVAL
% 2.27/2.43 0 page faults and
% 2.27/2.43 148,339,560 bytes consed.
% 2.27/2.43 :PROOF-FOUND
% 2.27/2.43 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T08:38:57
% 2.27/2.43 :PROOF-FOUND
% 2.27/2.43 *
%------------------------------------------------------------------------------