TSTP Solution File: SWV840-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV840-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 21:36:12 EDT 2022
% Result : Unsatisfiable 0.85s 1.03s
% Output : Refutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 13 unt; 0 nHn; 6 RR)
% Number of literals : 16 ( 6 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-3 aty)
% Number of variables : 22 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Un__upper2_0,axiom,
c_lessequals(X,c_Lattices_Oupper__semilattice__class_Osup(Y,X,tc_fun(Z,tc_bool)),tc_fun(Z,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
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_thin_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X,Y,Z)
| ~ c_lessequals(U,X,tc_fun(tc_Hoare__Mirabelle_Otriple(Z),tc_bool))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(U,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_thin_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
cnf(291,plain,
hAPP(c_fequal(X),Y) = c_Set_Oinsert(Y,c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)),X),
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(hAPP(c_fequal(Z),X),Y,tc_fun(Z,tc_bool)),
inference('REWRITE',[status(thm)],[cls_insert__is__Un_0,291,theory(equality)]) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(400,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),t_a),
inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_Un__empty__right_0,334,theory(equality)]) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(402,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),t_a),
inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_Un__empty__right_0,334,theory(equality)]) ).
cnf(1908,plain,
c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X,v_G,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_thin_0,400,cls_Un__upper2_0]) ).
cnf(1909,plain,
$false,
inference('REWRITE',[status(thm)],[402,1908]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV840-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 15 04:08:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T04:08:58
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-15T04:08:58
% 0.43/0.61
% 0.43/0.61 ; Recognized possible left identity assertion (|c_Natural_Oevalc| |c_Com_Ocom_OSKIP| ?X ?X).
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.85/1.03 ; Recognized relation functionality assertion (OR (= ?X ?Y) (NOT (|c_Natural_Oevalc| ?Z ?U ?X)) (NOT (|c_Natural_Oevalc| ?Z ?U ?Y))).
% 0.85/1.03
% 0.85/1.03 #||
% 0.85/1.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.03 % SZS output start Refutation
% See solution above
% 0.85/1.03 ||#
% 0.85/1.03
% 0.85/1.03 ; Summary of computation:
% 0.85/1.03 ; 3317 formulas have been input or derived (from 262 formulas).
% 0.85/1.03 ; 1909 (58%) were retained. Of these,
% 0.85/1.03 ; 153 ( 8%) were simplified or subsumed later,
% 0.85/1.03 ; 1756 (92%) are still being kept.
% 0.85/1.03 ;
% 0.85/1.03 ; Run time in seconds excluding printing time:
% 0.85/1.03 ; 0.110 20% Read assertion file (1 call)
% 0.85/1.03 ; 0.012 2% Assert (469 calls)
% 0.85/1.03 ; 0.148 27% Process new row (2,988 calls)
% 0.85/1.03 ; 0.065 12% Resolution (522 calls)
% 0.85/1.03 ; 0.020 4% Paramodulation (261 calls)
% 0.85/1.03 ; 0.000 0% Factoring (4 calls)
% 0.85/1.03 ; 0.009 2% Condensing (595 calls)
% 0.85/1.03 ; 0.036 7% Forward subsumption (595 calls)
% 0.85/1.03 ; 0.009 2% Backward subsumption (490 calls)
% 0.85/1.03 ; 0.005 1% Clause clause subsumption (587 calls)
% 0.85/1.03 ; 0.057 10% Forward simplification (2,950 calls)
% 0.85/1.03 ; 0.018 3% Backward simplification (1,850 calls)
% 0.85/1.03 ; 0.016 3% Ordering (2,240 calls)
% 0.85/1.03 ; 0.000 0% Sortal reasoning (32 calls)
% 0.85/1.03 ; 0.002 0% Purity testing (1 call)
% 0.85/1.03 ; 0.038 7% Other
% 0.85/1.03 ; 0.545 Total
% 0.85/1.03 ; 0.547 Real time
% 0.85/1.03 ;
% 0.85/1.03 ; Term-hash-array has 4,570 terms in all.
% 0.85/1.03 ; Feature-vector-row-index has 450 entries (450 at peak, 490 added, 40 deleted).
% 0.85/1.03 ; Feature-vector-row-index has 2,516 nodes (2,516 at peak, 3,005 added, 489 deleted).
% 0.85/1.03 ; Retrieved 666 possibly forward subsuming rows in 595 calls.
% 0.85/1.03 ; Retrieved 152 possibly backward subsumed rows in 490 calls.
% 0.85/1.03 ; Path-index has 4,359 entries (4,365 at peak, 4,642 added, 283 deleted).
% 0.85/1.03 ; Path-index has 12,734 nodes (12,746 at peak, 13,312 added, 578 deleted).
% 0.85/1.03 ; Trie-index has 4,359 entries (4,365 at peak, 4,642 added, 283 deleted).
% 0.85/1.03 ; Trie-index has 18,595 nodes (18,654 at peak, 20,150 added, 1,555 deleted).
% 0.85/1.03 ; Retrieved 2,986 generalization terms in 8,548 calls.
% 0.85/1.03 ; Retrieved 1,805 instance terms in 1,464 calls.
% 0.85/1.03 ; Retrieved 52,636 unifiable terms in 2,718 calls.
% 0.85/1.03 ;
% 0.85/1.03 ; The agenda of rows to process has 4 entries:
% 0.85/1.03 ; 3 with value 33 1 with value 34
% 0.85/1.03 ; The agenda of input rows to give has 81 entries:
% 0.85/1.03 ; 2 with value 26 3 with value 36 2 with value 62
% 0.85/1.03 ; 9 with value 27 2 with value 37 1 with value 65
% 0.85/1.03 ; 4 with value 28 1 with value 38 1 with value 67
% 0.85/1.03 ; 5 with value 29 3 with value 39 1 with value 68
% 0.85/1.03 ; 5 with value 30 3 with value 40 1 with value 69
% 0.85/1.03 ; 2 with value 31 3 with value 41 2 with value 70
% 0.85/1.03 ; 5 with value 32 1 with value 55 1 with value 78
% 0.85/1.03 ; 6 with value 33 4 with value 56 1 with value 153
% 0.85/1.03 ; 5 with value 34 2 with value 60 1 with value 178
% 0.85/1.03 ; 5 with value 35
% 0.85/1.03 ; The agenda of rows to give has 1418 entries:
% 0.85/1.03 ; 4 with value (4 6) 100 with value (4 17) 63 with value (4 28)
% 0.85/1.03 ; 18 with value (4 7) 164 with value (4 18) 27 with value (4 29)
% 0.85/1.03 ; 6 with value (4 8) 85 with value (4 19) 43 with value (4 30)
% 0.85/1.03 ; 13 with value (4 9) 68 with value (4 20) 4 with value (4 31)
% 0.85/1.03 ; 21 with value (4 10) 59 with value (4 21) 34 with value (4 32)
% 0.85/1.03 ; 22 with value (4 11) 48 with value (4 22) 19 with value (4 33)
% 0.85/1.03 ; 38 with value (4 12) 42 with value (4 23) 13 with value (4 34)
% 0.85/1.03 ; 63 with value (4 13) 44 with value (4 24) 16 with value (4 35)
% 0.85/1.03 ; 65 with value (4 14) 43 with value (4 25) 8 with value (4 36)
% 0.85/1.03 ; 83 with value (4 15) 44 with value (4 26) 2 with value (4 37)
% 0.85/1.03 ; 131 with value (4 16) 19 with value (4 27) 9 with value (4 38)
% 0.85/1.03 Evaluation took:
% 0.85/1.03 0.548 seconds of real time
% 0.85/1.03 0.518595 seconds of user run time
% 0.85/1.03 0.02903 seconds of system run time
% 0.85/1.03 [Run times include 0.033 seconds GC run time.]
% 0.85/1.03 0 calls to %EVAL
% 0.85/1.03 0 page faults and
% 0.85/1.03 35,589,256 bytes consed.
% 0.85/1.03 :PROOF-FOUND
% 0.85/1.03 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T04:08:59
% 0.85/1.03 :PROOF-FOUND
% 0.85/1.03 *
%------------------------------------------------------------------------------