TSTP Solution File: SWV834-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV834-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 21:36:11 EDT 2022
% Result : Unsatisfiable 9.72s 9.91s
% Output : Refutation 9.72s
% 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 : 12 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 10 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/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(cls_singleton__conv2_0,axiom,
c_Collect(hAPP(c_fequal(X),Y),X) = hAPP(hAPP(c_Set_Oinsert(X),Y),c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
cnf(409,plain,
hAPP(c_fequal(X),Y) = hAPP(hAPP(c_Set_Oinsert(X),Y),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_escape_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(Y,Z,U,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__Xescape__1(X,Y,U,Z)),v_sko__Hoare__Mirabelle__Xescape__2(X,Y,U,Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_escape_0) ).
cnf(491,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__Xescape__1(X,Y,U,Z)),v_sko__Hoare__Mirabelle__Xescape__2(X,Y,U,Z))) ),
inference('REWRITE',[status(thm)],[cls_escape_0,409,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/sandbox/benchmark/theBenchmark.p',cls_empty__def_0) ).
cnf(500,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/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_COMBK__def_0,axiom,
hAPP(c_COMBK(X,Y,Z),U) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBK__def_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),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,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(536,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,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),t_a)),t_a),
inference('REWRITE',[status(thm)],[cls_conjecture_0,409,500,theory(equality)]) ).
cnf(640,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X,tc_bool)),Y) = c_False,
inference('PARAMODULATE',[status(thm)],[cls_COMBK__def_0,500,theory(equality)]) ).
cnf(641,plain,
~ hBOOL(c_False),
inference('REWRITE',[status(thm)],[cls_bot1E_0,640,theory(equality)]) ).
cnf(7940,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[536,491]),641,640,cls_COMBK__def_0,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV834-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n027.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 15 05:36:19 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 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 2022-06-15T05:36:19
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-15T05:36:19
% 0.47/0.69 WARNING:
% 0.47/0.69 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |class_Orderings_Olinorder| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.69 WARNING:
% 0.47/0.69 |c_Wellfounded_OwfP| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 9.72/9.91
% 9.72/9.91
% 9.72/9.91 #||
% 9.72/9.91 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.72/9.91 % SZS output start Refutation
% See solution above
% 9.72/9.91 ||#
% 9.72/9.91
% 9.72/9.91 ; Summary of computation:
% 9.72/9.91 ; 14967 formulas have been input or derived (from 457 formulas).
% 9.72/9.91 ; 7940 (53%) were retained. Of these,
% 9.72/9.91 ; 477 ( 6%) were simplified or subsumed later,
% 9.72/9.91 ; 7463 (94%) are still being kept.
% 9.72/9.91 ;
% 9.72/9.91 ; Run time in seconds excluding printing time:
% 9.72/9.91 ; 0.160 2% Read assertion file (1 call)
% 9.72/9.91 ; 0.014 0% Assert (644 calls)
% 9.72/9.91 ; 1.580 17% Process new row (14,230 calls)
% 9.72/9.91 ; 0.496 5% Resolution (912 calls)
% 9.72/9.91 ; 0.330 4% Paramodulation (456 calls)
% 9.72/9.91 ; 0.000 0% Factoring (12 calls)
% 9.72/9.91 ; 0.108 1% Condensing (5,850 calls)
% 9.72/9.91 ; 2.359 25% Forward subsumption (5,850 calls)
% 9.72/9.91 ; 0.479 5% Backward subsumption (4,678 calls)
% 9.72/9.91 ; 0.085 1% Clause clause subsumption (17,284 calls)
% 9.72/9.91 ; 1.669 18% Forward simplification (13,622 calls)
% 9.72/9.91 ; 0.249 3% Backward simplification (7,868 calls)
% 9.72/9.91 ; 1.787 19% Ordering (102,710 calls)
% 9.72/9.91 ; 0.001 0% Sortal reasoning (32 calls)
% 9.72/9.91 ; 0.001 0% Purity testing (1 call)
% 9.72/9.91 ; 0.084 1% Other
% 9.72/9.91 ; 9.402 Total
% 9.72/9.91 ; 9.405 Real time
% 9.72/9.91 ;
% 9.72/9.92 ; Term-hash-array has 29,763 terms in all.
% 9.72/9.92 ; Feature-vector-row-index has 4,521 entries (4,521 at peak, 4,678 added, 157 deleted).
% 9.72/9.92 ; Feature-vector-row-index has 65,775 nodes (65,775 at peak, 68,932 added, 3,157 deleted).
% 9.72/9.92 ; Retrieved 21,510 possibly forward subsuming rows in 5,850 calls.
% 9.72/9.92 ; Retrieved 1,113 possibly backward subsumed rows in 4,678 calls.
% 9.72/9.92 ; Path-index has 28,212 entries (28,212 at peak, 30,092 added, 1,880 deleted).
% 9.72/9.92 ; Path-index has 52,152 nodes (52,152 at peak, 54,721 added, 2,569 deleted).
% 9.72/9.92 ; Trie-index has 28,212 entries (28,212 at peak, 30,092 added, 1,880 deleted).
% 9.72/9.92 ; Trie-index has 171,638 nodes (171,638 at peak, 195,038 added, 23,400 deleted).
% 9.72/9.92 ; Retrieved 112,934 generalization terms in 141,529 calls.
% 9.72/9.92 ; Retrieved 15,491 instance terms in 5,045 calls.
% 9.72/9.92 ; Retrieved 584,431 unifiable terms in 7,461 calls.
% 9.72/9.92 ;
% 9.72/9.92 ; The agenda of rows to process has 6 entries:
% 9.72/9.92 ; 5 with value 165 1 with value 237
% 9.72/9.92 ; The agenda of input rows to give has 17 entries:
% 9.72/9.92 ; 1 with value 89 1 with value 103 1 with value 120
% 9.72/9.92 ; 1 with value 90 1 with value 105 1 with value 121
% 9.72/9.92 ; 1 with value 91 1 with value 109 1 with value 123
% 9.72/9.92 ; 1 with value 96 1 with value 111 2 with value 124
% 9.72/9.92 ; 1 with value 101 1 with value 115 2 with value 147
% 9.72/9.92 ; The agenda of rows to give has 7012 entries:
% 9.72/9.92 ; 1 with value (4 5) 71 with value (4 52) 6 with value (4 96)
% 9.72/9.92 ; 14 with value (4 7) 144 with value (4 53) 17 with value (4 97)
% 9.72/9.92 ; 2 with value (4 10) 178 with value (4 54) 6 with value (4 98)
% 9.72/9.92 ; 2 with value (4 11) 157 with value (4 55) 7 with value (4 99)
% 9.72/9.92 ; 11 with value (4 12) 136 with value (4 56) 14 with value (4 100)
% 9.72/9.92 ; 25 with value (4 13) 125 with value (4 57) 16 with value (4 101)
% 9.72/9.92 ; 30 with value (4 14) 79 with value (4 58) 18 with value (4 102)
% 9.72/9.92 ; 30 with value (4 15) 77 with value (4 59) 15 with value (4 103)
% 9.72/9.92 ; 39 with value (4 16) 103 with value (4 60) 34 with value (4 104)
% 9.72/9.92 ; 28 with value (4 17) 140 with value (4 61) 13 with value (4 105)
% 9.72/9.92 ; 40 with value (4 18) 156 with value (4 62) 11 with value (4 106)
% 9.72/9.92 ; 30 with value (4 19) 57 with value (4 63) 7 with value (4 107)
% 9.72/9.92 ; 21 with value (4 20) 65 with value (4 64) 24 with value (4 108)
% 9.72/9.92 ; 28 with value (4 21) 82 with value (4 65) 12 with value (4 109)
% 9.72/9.92 ; 17 with value (4 22) 94 with value (4 66) 26 with value (4 110)
% 9.72/9.92 ; 21 with value (4 23) 88 with value (4 67) 12 with value (4 111)
% 9.72/9.92 ; 56 with value (4 24) 125 with value (4 68) 12 with value (4 112)
% 9.72/9.92 ; 40 with value (4 25) 120 with value (4 69) 4 with value (4 113)
% 9.72/9.92 ; 51 with value (4 26) 65 with value (4 70) 11 with value (4 114)
% 9.72/9.92 ; 90 with value (4 27) 52 with value (4 71) 10 with value (4 115)
% 9.72/9.92 ; 81 with value (4 28) 47 with value (4 72) 3 with value (4 116)
% 9.72/9.92 ; 121 with value (4 29) 48 with value (4 73) 6 with value (4 117)
% 9.72/9.92 ; 115 with value (4 30) 46 with value (4 74) 19 with value (4 118)
% 9.72/9.92 ; 98 with value (4 31) 66 with value (4 75) 12 with value (4 119)
% 9.72/9.92 ; 125 with value (4 32) 70 with value (4 76) 7 with value (4 120)
% 9.72/9.92 ; 75 with value (4 33) 65 with value (4 77) 6 with value (4 121)
% 9.72/9.92 ; 117 with value (4 34) 28 with value (4 78) 2 with value (4 122)
% 9.72/9.92 ; 140 with value (4 35) 51 with value (4 79) 7 with value (4 123)
% 9.72/9.92 ; 101 with value (4 36) 64 with value (4 80) 2 with value (4 124)
% 9.72/9.92 ; 139 with value (4 37) 30 with value (4 81) 2 with value (4 125)
% 9.72/9.92 ; 130 with value (4 38) 21 with value (4 82) 4 with value (4 126)
% 9.72/9.92 ; 136 with value (4 39) 31 with value (4 83) 1 with value (4 127)
% 9.72/9.92 ; 137 with value (4 40) 33 with value (4 84) 13 with value (4 128)
% 9.72/9.92 ; 130 with value (4 41) 25 with value (4 85) 1 with value (4 130)
% 9.72/9.92 ; 172 with value (4 42) 22 with value (4 86) 1 with value (4 131)
% 9.72/9.92 ; 116 with value (4 43) 26 with value (4 87) 1 with value (4 133)
% 9.72/9.92 ; 160 with value (4 44) 11 with value (4 88) 1 with value (4 134)
% 9.72/9.92 ; 177 with value (4 45) 11 with value (4 89) 1 with value (4 140)
% 9.72/9.92 ; 203 with value (4 46) 19 with value (4 90) 2 with value (4 144)
% 9.72/9.92 ; 207 with value (4 47) 10 with value (4 91) 2 with value (4 148)
% 9.72/9.92 ; 108 with value (4 48) 31 with value (4 92) 1 with value (4 149)
% 9.72/9.92 ; 133 with value (4 49) 16 with value (4 93) 1 with value (4 158)
% 9.72/9.92 ; 124 with value (4 50) 8 with value (4 94) 1 with value (4 167)
% 9.72/9.92 ; 112 with value (4 51) 14 with value (4 95) 1 with value (4 169)
% 9.72/9.92 Evaluation took:
% 9.72/9.92 9.413 seconds of real time
% 9.72/9.92 8.866515 seconds of user run time
% 9.72/9.92 0.544935 seconds of system run time
% 9.72/9.92 [Run times include 1.726 seconds GC run time.]
% 9.72/9.92 0 calls to %EVAL
% 9.72/9.92 0 page faults and
% 9.72/9.92 709,479,688 bytes consed.
% 9.72/9.92 :PROOF-FOUND
% 9.72/9.92 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T05:36:28
% 9.72/9.92 :PROOF-FOUND
% 9.72/9.92 *
%------------------------------------------------------------------------------