TSTP Solution File: SWV906-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV906-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 1.73s 1.98s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 25 ( 20 unt; 1 nHn; 13 RR)
% Number of literals : 34 ( 14 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-3 aty)
% Number of variables : 31 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_set__empty__eq_1,axiom,
c_Option_Oset(c_Option_Ooption_ONone(X),X) = c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__empty__eq_1) ).
cnf(cls_Collect__def_0,axiom,
c_Collect(X,Y) = X,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
cnf(182,plain,
c_Lattices_Oupper__semilattice__class_Osup(X,c_Option_Oset(c_Option_Ooption_ONone(Y),Y),tc_fun(Y,tc_bool)) = X,
inference('REWRITE',[status(thm)],[cls_Un__empty__right_0,cls_set__empty__eq_1,theory(equality)]) ).
cnf(cls_not__None__eq_1,axiom,
c_Option_Ooption_OSome(X,Y) != c_Option_Ooption_ONone(Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__None__eq_1) ).
cnf(cls_singleton__conv2_0,axiom,
c_Collect(hAPP(c_fequal(X),Y),X) = c_Set_Oinsert(Y,c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
cnf(366,plain,
hAPP(c_fequal(X),Y) = c_Set_Oinsert(Y,c_Option_Oset(c_Option_Ooption_ONone(X),X),X),
inference('REWRITE',[status(thm)],[cls_singleton__conv2_0,cls_set__empty__eq_1,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/sandbox2/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).
cnf(402,plain,
c_Set_Oinsert(X,Y,Z) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_fequal(Z),X),Y,tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[cls_insert__is__Un_0,366,cls_set__empty__eq_1,theory(equality)]) ).
cnf(cls_Option_Oset_Osimps_I2_J_0,axiom,
c_Option_Oset(c_Option_Ooption_OSome(X,Y),Y) = c_Set_Oinsert(X,c_Orderings_Obot__class_Obot(tc_fun(Y,tc_bool)),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Option_Oset_Osimps_I2_J_0) ).
cnf(423,plain,
c_Option_Oset(c_Option_Ooption_OSome(X,Y),Y) = hAPP(c_fequal(Y),X),
inference('REWRITE',[status(thm)],[cls_Option_Oset_Osimps_I2_J_0,182,402,cls_set__empty__eq_1,theory(equality)]) ).
cnf(cls_WT_OBody_0,axiom,
( c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X))
| hAPP(c_Com_Obody,X) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
file('/export/starexec/sandbox2/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(hAPP(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/sandbox2/benchmark/theBenchmark.p',cls_MGF_0) ).
cnf(446,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Option_Oset(c_Option_Ooption_ONone(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X),c_Option_Oset(c_Option_Ooption_ONone(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),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_set__empty__eq_1,theory(equality)]) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_3,negated_conjecture,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_5,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(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(479,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Option_Oset(c_Option_Ooption_ONone(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),c_Option_Oset(c_Option_Ooption_ONone(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference('REWRITE',[status(thm)],[cls_conjecture_5,cls_set__empty__eq_1,theory(equality)]) ).
cnf(520,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Option_Oset(c_Option_Ooption_ONone(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X),c_Option_Oset(c_Option_Ooption_ONone(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X) ),
inference('REWRITE',[status(thm)],[446,cls_conjecture_1,cls_conjecture_0]) ).
cnf(527,plain,
c_Set_Oinsert(X,Y,Z) = c_Lattices_Oupper__semilattice__class_Osup(c_Option_Oset(c_Option_Ooption_OSome(X,Z),Z),Y,tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[402,423,theory(equality)]) ).
cnf(531,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Option_Oset(c_Option_Ooption_ONone(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Option_Oset(c_Option_Ooption_OSome(hAPP(c_Hoare__Mirabelle_OMGT,X),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X) ),
inference('REWRITE',[status(thm)],[520,182,527,theory(equality)]) ).
cnf(534,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Option_Oset(c_Option_Ooption_ONone(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Option_Oset(c_Option_Ooption_OSome(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference('REWRITE',[status(thm)],[479,182,527,theory(equality)]) ).
cnf(2117,plain,
~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,v_pn)),
inference('UR-RESOLVE',[status(thm)],[531,534]) ).
cnf(4716,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2117,cls_WT_OBody_0]),cls_not__None__eq_1,cls_conjecture_3,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV906-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n016.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 20:55:03 EDT 2022
% 0.18/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T20:55:03
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-15T20:55:03
% 0.42/0.59 WARNING:
% 0.42/0.59 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.59 WARNING:
% 0.42/0.59 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.59 WARNING:
% 0.42/0.59 |c_Complete__Lattice_Ocomplete__lattice| is a 9-ary relation that occurs only negatively; disabling rows that contain it.
% 1.73/1.98
% 1.73/1.98
% 1.73/1.98 #||
% 1.73/1.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.73/1.98 % SZS output start Refutation
% See solution above
% 1.73/1.98 ||#
% 1.73/1.98
% 1.73/1.98 ; Summary of computation:
% 1.73/1.98 ; 10134 formulas have been input or derived (from 412 formulas).
% 1.73/1.98 ; 4716 (47%) were retained. Of these,
% 1.73/1.98 ; 242 ( 5%) were simplified or subsumed later,
% 1.73/1.98 ; 4474 (95%) are still being kept.
% 1.73/1.98 ;
% 1.73/1.98 ; Run time in seconds excluding printing time:
% 1.73/1.98 ; 0.105 7% Read assertion file (1 call)
% 1.73/1.98 ; 0.009 1% Assert (514 calls)
% 1.73/1.98 ; 0.489 32% Process new row (9,353 calls)
% 1.73/1.98 ; 0.168 11% Resolution (822 calls)
% 1.73/1.98 ; 0.033 2% Paramodulation (411 calls)
% 1.73/1.98 ; 0.000 0% Factoring (14 calls)
% 1.73/1.98 ; 0.025 2% Condensing (1,500 calls)
% 1.73/1.98 ; 0.118 8% Forward subsumption (1,500 calls)
% 1.73/1.98 ; 0.036 2% Backward subsumption (1,233 calls)
% 1.73/1.98 ; 0.080 5% Clause clause subsumption (2,323 calls)
% 1.73/1.98 ; 0.265 18% Forward simplification (9,277 calls)
% 1.73/1.98 ; 0.071 5% Backward simplification (4,613 calls)
% 1.73/1.98 ; 0.039 3% Ordering (7,777 calls)
% 1.73/1.98 ; 0.001 0% Sortal reasoning (32 calls)
% 1.73/1.98 ; 0.001 0% Purity testing (1 call)
% 1.73/1.98 ; 0.070 5% Other
% 1.73/1.98 ; 1.510 Total
% 1.73/1.98 ; 1.513 Real time
% 1.73/1.98 ;
% 1.73/1.98 ; Term-hash-array has 12,266 terms in all.
% 1.73/1.98 ; Feature-vector-row-index has 1,156 entries (1,156 at peak, 1,233 added, 77 deleted).
% 1.73/1.98 ; Feature-vector-row-index has 12,421 nodes (12,421 at peak, 13,350 added, 929 deleted).
% 1.73/1.98 ; Retrieved 3,190 possibly forward subsuming rows in 1,500 calls.
% 1.73/1.98 ; Retrieved 337 possibly backward subsumed rows in 1,233 calls.
% 1.73/1.98 ; Path-index has 11,954 entries (11,954 at peak, 12,380 added, 426 deleted).
% 1.73/1.98 ; Path-index has 26,342 nodes (26,342 at peak, 27,076 added, 734 deleted).
% 1.73/1.98 ; Trie-index has 11,954 entries (11,954 at peak, 12,380 added, 426 deleted).
% 1.73/1.98 ; Trie-index has 66,024 nodes (66,024 at peak, 68,599 added, 2,575 deleted).
% 1.73/1.98 ; Retrieved 22,183 generalization terms in 29,503 calls.
% 1.73/1.98 ; Retrieved 4,684 instance terms in 3,585 calls.
% 1.73/1.98 ; Retrieved 261,817 unifiable terms in 6,308 calls.
% 1.73/1.98 ;
% 1.73/1.98 ; The agenda of rows to process has 7 entries:
% 1.73/1.98 ; 3 with value 11 3 with value 12 1 with value 14
% 1.73/1.98 ; The agenda of rows to give has 4071 entries:
% 1.73/1.98 ; 1 with value (4 7) 36 with value (4 35) 8 with value (4 63)
% 1.73/1.98 ; 16 with value (4 8) 36 with value (4 36) 8 with value (4 64)
% 1.73/1.98 ; 11 with value (4 9) 34 with value (4 37) 5 with value (4 65)
% 1.73/1.98 ; 13 with value (4 10) 55 with value (4 38) 5 with value (4 66)
% 1.73/1.98 ; 75 with value (4 11) 139 with value (4 39) 7 with value (4 67)
% 1.73/1.98 ; 60 with value (4 12) 177 with value (4 40) 12 with value (4 68)
% 1.73/1.98 ; 92 with value (4 13) 176 with value (4 41) 7 with value (4 69)
% 1.73/1.98 ; 127 with value (4 14) 280 with value (4 42) 4 with value (4 70)
% 1.73/1.98 ; 109 with value (4 15) 266 with value (4 43) 2 with value (4 71)
% 1.73/1.98 ; 177 with value (4 16) 103 with value (4 44) 6 with value (4 72)
% 1.73/1.98 ; 137 with value (4 17) 82 with value (4 45) 1 with value (4 73)
% 1.73/1.98 ; 191 with value (4 18) 48 with value (4 46) 2 with value (4 74)
% 1.73/1.98 ; 117 with value (4 19) 23 with value (4 47) 2 with value (4 75)
% 1.73/1.98 ; 132 with value (4 20) 29 with value (4 48) 2 with value (4 76)
% 1.73/1.98 ; 80 with value (4 21) 27 with value (4 49) 5 with value (4 77)
% 1.73/1.98 ; 77 with value (4 22) 17 with value (4 50) 5 with value (4 78)
% 1.73/1.98 ; 73 with value (4 23) 20 with value (4 51) 1 with value (4 79)
% 1.73/1.98 ; 61 with value (4 24) 31 with value (4 52) 1 with value (4 80)
% 1.73/1.98 ; 77 with value (4 25) 18 with value (4 53) 3 with value (4 81)
% 1.73/1.98 ; 79 with value (4 26) 24 with value (4 54) 3 with value (4 82)
% 1.73/1.98 ; 63 with value (4 27) 14 with value (4 55) 1 with value (4 83)
% 1.73/1.98 ; 96 with value (4 28) 24 with value (4 56) 2 with value (4 84)
% 1.73/1.98 ; 120 with value (4 29) 15 with value (4 57) 1 with value (4 86)
% 1.73/1.98 ; 53 with value (4 30) 9 with value (4 58) 1 with value (4 88)
% 1.73/1.98 ; 68 with value (4 31) 9 with value (4 59) 2 with value (4 91)
% 1.73/1.98 ; 54 with value (4 32) 12 with value (4 60) 1 with value (4 92)
% 1.73/1.98 ; 44 with value (4 33) 7 with value (4 61) 1 with value (4 97)
% 1.73/1.98 ; 51 with value (4 34) 7 with value (4 62) 1 with value (4 135)
% 1.73/1.98 Evaluation took:
% 1.73/1.98 1.515 seconds of real time
% 1.73/1.98 1.403871 seconds of user run time
% 1.73/1.98 0.111144 seconds of system run time
% 1.73/1.98 [Run times include 0.239 seconds GC run time.]
% 1.73/1.98 0 calls to %EVAL
% 1.73/1.98 0 page faults and
% 1.73/1.98 116,167,048 bytes consed.
% 1.73/1.98 :PROOF-FOUND
% 1.73/1.98 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T20:55:04
% 1.73/1.98 :PROOF-FOUND
% 1.73/1.98 *
%------------------------------------------------------------------------------