TSTP Solution File: SWV821-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV821-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 21:36:09 EDT 2022
% Result : Unsatisfiable 28.14s 28.35s
% Output : Refutation 28.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 14 ( 4 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 14 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_com_Osize_I1_J_0,axiom,
c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osize_I1_J_0) ).
cnf(cls_Suc__neq__Zero_0,axiom,
c_Suc(X) != c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__neq__Zero_0) ).
cnf(600,plain,
c_Suc(X) != c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP),
inference('REWRITE',[status(thm)],[cls_Suc__neq__Zero_0,cls_com_Osize_I1_J_0,theory(equality)]) ).
cnf(cls_le0_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le0_0) ).
cnf(647,plain,
c_lessequals(c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP),X,tc_nat),
inference('REWRITE',[status(thm)],[cls_le0_0,cls_com_Osize_I1_J_0,theory(equality)]) ).
cnf(cls_evaln__nonstrict_0,axiom,
( c_Natural_Oevaln(X,Y,Z,U)
| ~ c_lessequals(V,Z,tc_nat)
| ~ c_Natural_Oevaln(X,Y,V,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__nonstrict_0) ).
cnf(cls_evaln__elim__cases_I6_J_0,axiom,
( X = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(Y,X,Z,U))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(Y),Z,X,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I6_J_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_HOL_Ozero__class_Ozero(tc_nat),v_xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(684,plain,
c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP),v_xb),
inference('REWRITE',[status(thm)],[cls_conjecture_1,cls_com_Osize_I1_J_0,theory(equality)]) ).
cnf(1473,plain,
c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,X,v_xb),
inference('HYPERRESOLVE',[status(thm)],[cls_evaln__nonstrict_0,647,684]) ).
cnf(5976,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[cls_evaln__elim__cases_I6_J_0,1473,600]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV821-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n029.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 09:20:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T09:20:11
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-15T09:20:11
% 0.55/0.73
% 0.55/0.73 ; Recognized right identity assertion (= (|c_Nat_Osize__class_Osize| ?X |tc_nat|) ?X).
% 0.55/0.73 ; Recognized possible left identity assertion (|c_Natural_Oevalc| |c_Com_Ocom_OSKIP| ?X ?X).
% 0.55/0.73 ; Recognized relation functionality assertion (OR (= ?X ?Y) (NOT (|c_Natural_Oevalc| ?Z ?U ?X)) (NOT (|c_Natural_Oevalc| ?Z ?U ?Y))).
% 0.55/0.73 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Oring__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Oring__1__no__zero__divisors| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Opordered__ring__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_OrderedGroup_Olordered__ab__group__add__meet| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Osgn__if| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_OrderedGroup_Olordered__ab__group__add__join| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Odivision__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_OrderedGroup_Ogroup__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Oabs__if| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Oordered__idom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Lattices_Obounded__lattice| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Oordered__ring__strict| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Opordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_OrderedGroup_Olordered__ab__group__add__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_OrderedGroup_Oordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Int_Onumber__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_OrderedGroup_Opordered__ab__group__add__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Olordered__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_OrderedGroup_Opordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.75 WARNING:
% 0.55/0.75 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 28.14/28.35 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 28.14/28.35
% 28.14/28.35 #||
% 28.14/28.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.14/28.35 % SZS output start Refutation
% See solution above
% 28.14/28.38 ||#
% 28.14/28.38
% 28.14/28.38 ; Summary of computation:
% 28.14/28.38 ; 58393 formulas have been input or derived (from 644 formulas).
% 28.14/28.38 ; 5976 (10%) were retained. Of these,
% 28.14/28.38 ; 730 (12%) were simplified or subsumed later,
% 28.14/28.38 ; 5246 (88%) are still being kept.
% 28.14/28.38 ;
% 28.14/28.38 ; Run time in seconds excluding printing time:
% 28.14/28.38 ; 0.224 1% Read assertion file (1 call)
% 28.14/28.38 ; 0.029 0% Assert (1,307 calls)
% 28.14/28.38 ; 0.876 3% Process new row (55,064 calls)
% 28.14/28.38 ; 2.407 9% Resolution (1,286 calls)
% 28.14/28.38 ; 0.046 0% Paramodulation (643 calls)
% 28.14/28.38 ; 0.000 0% Factoring (8 calls)
% 28.14/28.38 ; 0.296 1% Condensing (23,325 calls)
% 28.14/28.38 ; 3.697 13% Forward subsumption (23,325 calls)
% 28.14/28.38 ; 0.259 1% Backward subsumption (4,213 calls)
% 28.14/28.38 ; 0.928 3% Clause clause subsumption (200,237 calls)
% 28.14/28.39 ; 4.285 15% Forward simplification (54,524 calls)
% 28.14/28.39 ; 0.047 0% Backward simplification (5,891 calls)
% 28.14/28.39 ; 14.517 52% Ordering (576,467 calls)
% 28.14/28.39 ; 0.000 0% Sortal reasoning (32 calls)
% 28.14/28.39 ; 0.005 0% Purity testing (1 call)
% 28.14/28.39 ; 0.255 1% Other
% 28.14/28.39 ; 27.871 Total
% 28.14/28.39 ; 27.906 Real time
% 28.14/28.39 ;
% 28.14/28.39 ; Term-hash-array has 10,397 terms in all.
% 28.14/28.39 ; Feature-vector-row-index has 3,647 entries (3,648 at peak, 4,213 added, 566 deleted).
% 28.14/28.39 ; Feature-vector-row-index has 14,012 nodes (14,036 at peak, 17,899 added, 3,887 deleted).
% 28.14/28.39 ; Retrieved 788,330 possibly forward subsuming rows in 23,325 calls.
% 28.14/28.39 ; Retrieved 16,083 possibly backward subsumed rows in 4,213 calls.
% 28.14/28.39 ; Path-index has 9,870 entries (9,870 at peak, 10,651 added, 781 deleted).
% 28.14/28.39 ; Path-index has 52,260 nodes (52,265 at peak, 52,765 added, 505 deleted).
% 28.14/28.39 ; Trie-index has 9,870 entries (9,870 at peak, 10,651 added, 781 deleted).
% 28.14/28.39 ; Trie-index has 80,692 nodes (80,696 at peak, 82,730 added, 2,038 deleted).
% 28.14/28.39 ; Retrieved 896,845 generalization terms in 887,671 calls.
% 28.14/28.39 ; Retrieved 4,748 instance terms in 1,908 calls.
% 28.14/28.39 ; Retrieved 3,788,208 unifiable terms in 17,214 calls.
% 28.14/28.39 ;
% 28.14/28.39 ; The agenda of rows to process has 41 entries:
% 28.14/28.39 ; 1 with value 9 12 with value 13 4 with value 18
% 28.14/28.39 ; 9 with value 10 2 with value 15 1 with value 19
% 28.14/28.39 ; 4 with value 11 6 with value 17 2 with value 20
% 28.14/28.39 ; The agenda of rows to give has 4603 entries:
% 28.14/28.39 ; 1 with value (4 9) 45 with value (4 46) 3 with value (4 91)
% 28.14/28.39 ; 33 with value (4 10) 31 with value (4 47) 3 with value (4 97)
% 28.14/28.39 ; 36 with value (4 11) 26 with value (4 48) 1 with value (4 99)
% 28.14/28.39 ; 61 with value (4 12) 36 with value (4 49) 1 with value (4 100)
% 28.14/28.39 ; 96 with value (4 13) 33 with value (4 50) 2 with value (4 102)
% 28.14/28.39 ; 97 with value (4 14) 27 with value (4 51) 4 with value (4 110)
% 28.14/28.39 ; 94 with value (4 15) 43 with value (4 52) 4 with value (4 111)
% 28.14/28.39 ; 127 with value (4 16) 29 with value (4 53) 2 with value (4 113)
% 28.14/28.39 ; 164 with value (4 17) 4 with value (4 54) 2 with value (4 115)
% 28.14/28.39 ; 117 with value (4 18) 39 with value (4 55) 1 with value (4 117)
% 28.14/28.39 ; 137 with value (4 19) 20 with value (4 56) 4 with value (4 120)
% 28.14/28.39 ; 149 with value (4 20) 32 with value (4 57) 1 with value (4 123)
% 28.14/28.39 ; 122 with value (4 21) 19 with value (4 58) 3 with value (4 134)
% 28.14/28.39 ; 164 with value (4 22) 35 with value (4 59) 2 with value (4 136)
% 28.14/28.39 ; 136 with value (4 23) 8 with value (4 61) 2 with value (4 149)
% 28.14/28.39 ; 188 with value (4 24) 6 with value (4 62) 1 with value (4 150)
% 28.14/28.39 ; 151 with value (4 25) 41 with value (4 63) 1 with value (4 151)
% 28.14/28.39 ; 239 with value (4 26) 6 with value (4 64) 2 with value (4 152)
% 28.14/28.39 ; 145 with value (4 27) 4 with value (4 65) 1 with value (4 156)
% 28.14/28.39 ; 116 with value (4 28) 8 with value (4 69) 2 with value (4 162)
% 28.14/28.39 ; 136 with value (4 29) 13 with value (4 70) 1 with value (4 163)
% 28.14/28.39 ; 145 with value (4 30) 24 with value (4 71) 1 with value (4 168)
% 28.14/28.39 ; 109 with value (4 31) 2 with value (4 72) 2 with value (4 172)
% 28.14/28.39 ; 126 with value (4 32) 6 with value (4 75) 6 with value (4 175)
% 28.14/28.39 ; 102 with value (4 33) 10 with value (4 76) 1 with value (4 176)
% 28.14/28.39 ; 128 with value (4 34) 2 with value (4 77) 1 with value (4 196)
% 28.14/28.39 ; 86 with value (4 35) 6 with value (4 78) 1 with value (4 247)
% 28.14/28.39 ; 105 with value (4 36) 4 with value (4 80) 1 with value (4 248)
% 28.14/28.39 ; 75 with value (4 37) 4 with value (4 81) 2 with value (4 254)
% 28.14/28.39 ; 99 with value (4 38) 2 with value (4 82) 2 with value (4 263)
% 28.14/28.39 ; 104 with value (4 39) 6 with value (4 83) 1 with value (4 351)
% 28.14/28.39 ; 87 with value (4 40) 3 with value (4 84) 1 with value (4 435)
% 28.14/28.39 ; 78 with value (4 41) 12 with value (4 86) 1 with value (4 515)
% 28.14/28.39 ; 44 with value (4 42) 18 with value (4 87) 1 with value (4 600)
% 28.14/28.39 ; 27 with value (4 43) 2 with value (4 88) 2 with value (4 606)
% 28.14/28.39 ; 29 with value (4 44) 2 with value (4 89) 1 with value (4 900)
% 28.14/28.39 ; 68 with value (4 45) 6 with value (4 90) 1 with value (4 1039)
% 28.14/28.39 Evaluation took:
% 28.14/28.39 27.908 seconds of real time
% 28.14/28.39 26.471704 seconds of user run time
% 28.14/28.39 1.436784 seconds of system run time
% 28.14/28.39 [Run times include 2.156 seconds GC run time.]
% 28.14/28.39 0 calls to %EVAL
% 28.14/28.39 0 page faults and
% 28.14/28.39 2,003,260,216 bytes consed.
% 28.14/28.39 :PROOF-FOUND
% 28.14/28.39 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T09:20:39
% 28.14/28.39 :PROOF-FOUND
% 28.14/28.39 *
%------------------------------------------------------------------------------