%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV702-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 21:35:45 EDT 2022
% Result : Unsatisfiable 5.21s 5.39s
% Output : Refutation 5.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 5 RR)
% Number of literals : 11 ( 6 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-5 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Suc_Ohyps_0,axiom,
( c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),X,Y) = hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X),Y)
| ~ c_HOL_Oord__class_Oless(Y,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc_Ohyps_0) ).
cnf(cls_class__semiring_Osemiring__rules_I27_J_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
| hAPP(hAPP(c_HOL_Otimes__class_Otimes(X),Y),hAPP(hAPP(c_Power_Opower__class_Opower(X),Y),Z)) = hAPP(hAPP(c_Power_Opower__class_Opower(X),Y),hAPP(c_Suc,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I27_J_0) ).
cnf(cls_True_0,axiom,
c_HOL_Oord__class_Oless(v_i____,hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_True_0) ).
cnf(cls_conjecture_0,negated_conjecture,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_Complex_Ocomplex,tc_nat),v_i____)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____)))),v_i____)),c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),v_i____))) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_Complex_Ocomplex,tc_nat)),v_i____)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____)))),v_i____)),hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),v_i____))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).
cnf(3632,plain,
hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X),hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),X),Y)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),X),hAPP(c_Suc,Y)),
inference('HYPERRESOLVE',[status(thm)],[cls_class__semiring_Osemiring__rules_I27_J_0,clsarity_nat__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(3634,plain,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_Complex_Ocomplex,tc_nat),v_i____)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(c_Suc,v_ka____)))),v_i____)),c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),v_i____))) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_Complex_Ocomplex,tc_nat)),v_i____)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),hAPP(c_Suc,v_ka____)))),v_i____)),hAPP(c_FFT__Mirabelle_OFFT(v_ka____,c_COMBB(v_a____,c_COMBB(c_Suc,hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat)),v_i____))),
inference('REWRITE',[status(thm)],[cls_conjecture_0,3632,theory(equality)]) ).
cnf(5736,plain,
c_FFT__Mirabelle_ODFT(hAPP(hAPP(c_Power_Opower__class_Opower(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)),v_ka____),X,v_i____) = hAPP(c_FFT__Mirabelle_OFFT(v_ka____,X),v_i____),
inference('HYPERRESOLVE',[status(thm)],[cls_Suc_Ohyps_0,cls_True_0]) ).
cnf(5737,plain,
$false,
inference('REWRITE',[status(thm)],[3634,5736,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV702-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.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 : Tue Jun 14 15:10:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-14T15:10:21
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-14T15:10:21
% 0.53/0.74 WARNING:
% 0.53/0.74 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.74 WARNING:
% 0.53/0.74 |c_Fun_Oinj__on| is a 4-ary relation that occurs only positively; disabling rows that contain it.
% 5.21/5.39
% 5.21/5.39
% 5.21/5.39 #||
% 5.21/5.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.21/5.39 % SZS output start Refutation
% See solution above
% 5.21/5.39 ||#
% 5.21/5.39
% 5.21/5.39 ; Summary of computation:
% 5.21/5.39 ; 19968 formulas have been input or derived (from 915 formulas).
% 5.21/5.39 ; 5737 (29%) were retained. Of these,
% 5.21/5.39 ; 291 ( 5%) were simplified or subsumed later,
% 5.21/5.39 ; 5446 (95%) are still being kept.
% 5.21/5.39 ;
% 5.21/5.39 ; Run time in seconds excluding printing time:
% 5.21/5.39 ; 0.215 4% Read assertion file (1 call)
% 5.21/5.39 ; 0.026 1% Assert (1,188 calls)
% 5.21/5.39 ; 0.662 13% Process new row (18,288 calls)
% 5.21/5.39 ; 0.610 12% Resolution (1,828 calls)
% 5.21/5.39 ; 0.137 3% Paramodulation (914 calls)
% 5.21/5.39 ; 0.000 0% Factoring (18 calls)
% 5.21/5.39 ; 0.100 2% Condensing (8,171 calls)
% 5.21/5.39 ; 1.306 27% Forward subsumption (8,171 calls)
% 5.21/5.39 ; 0.211 4% Backward subsumption (3,681 calls)
% 5.21/5.39 ; 0.098 2% Clause clause subsumption (21,160 calls)
% 5.21/5.39 ; 0.988 20% Forward simplification (18,270 calls)
% 5.21/5.39 ; 0.087 2% Backward simplification (5,708 calls)
% 5.21/5.39 ; 0.378 8% Ordering (74,657 calls)
% 5.21/5.39 ; 0.000 0% Sortal reasoning (32 calls)
% 5.21/5.39 ; 0.002 0% Purity testing (1 call)
% 5.21/5.39 ; 0.089 2% Other
% 5.21/5.39 ; 4.909 Total
% 5.21/5.39 ; 4.911 Real time
% 5.21/5.39 ;
% 5.21/5.40 ; Term-hash-array has 11,726 terms in all.
% 5.21/5.40 ; Feature-vector-row-index has 3,586 entries (3,586 at peak, 3,681 added, 95 deleted).
% 5.21/5.40 ; Feature-vector-row-index has 37,296 nodes (37,296 at peak, 38,565 added, 1,269 deleted).
% 5.21/5.40 ; Retrieved 34,388 possibly forward subsuming rows in 8,171 calls.
% 5.21/5.40 ; Retrieved 2,422 possibly backward subsumed rows in 3,681 calls.
% 5.21/5.40 ; Path-index has 11,244 entries (11,264 at peak, 11,829 added, 585 deleted).
% 5.21/5.40 ; Path-index has 17,905 nodes (18,081 at peak, 18,725 added, 820 deleted).
% 5.21/5.40 ; Trie-index has 11,244 entries (11,264 at peak, 11,829 added, 585 deleted).
% 5.21/5.40 ; Trie-index has 65,470 nodes (66,015 at peak, 69,984 added, 4,514 deleted).
% 5.21/5.40 ; Retrieved 119,232 generalization terms in 156,831 calls.
% 5.21/5.40 ; Retrieved 7,082 instance terms in 2,744 calls.
% 5.21/5.40 ; Retrieved 831,943 unifiable terms in 11,448 calls.
% 5.21/5.40 ;
% 5.21/5.40 ; The agenda of rows to process has 7 entries:
% 5.21/5.40 ; 1 with value 47 1 with value 50 1 with value 74
% 5.21/5.40 ; 1 with value 48 3 with value 64
% 5.21/5.40 ; The agenda of input rows to give has 34 entries:
% 5.21/5.40 ; 2 with value 45 1 with value 52 1 with value 64
% 5.21/5.40 ; 4 with value 46 2 with value 53 1 with value 67
% 5.21/5.40 ; 4 with value 47 2 with value 54 1 with value 71
% 5.21/5.40 ; 3 with value 49 8 with value 56 1 with value 78
% 5.21/5.40 ; 2 with value 50 1 with value 57 1 with value 96
% 5.21/5.40 ; The agenda of rows to give has 4501 entries:
% 5.21/5.40 ; 4 with value (4 4) 139 with value (4 33) 16 with value (4 61)
% 5.21/5.40 ; 5 with value (4 6) 126 with value (4 34) 16 with value (4 62)
% 5.21/5.40 ; 6 with value (4 7) 155 with value (4 35) 12 with value (4 63)
% 5.21/5.40 ; 8 with value (4 8) 150 with value (4 36) 8 with value (4 64)
% 5.21/5.40 ; 17 with value (4 9) 178 with value (4 37) 5 with value (4 65)
% 5.21/5.40 ; 16 with value (4 10) 177 with value (4 38) 8 with value (4 66)
% 5.21/5.40 ; 25 with value (4 11) 126 with value (4 39) 14 with value (4 67)
% 5.21/5.40 ; 28 with value (4 12) 118 with value (4 40) 4 with value (4 68)
% 5.21/5.40 ; 27 with value (4 13) 104 with value (4 41) 8 with value (4 69)
% 5.21/5.40 ; 35 with value (4 14) 128 with value (4 42) 8 with value (4 70)
% 5.21/5.40 ; 35 with value (4 15) 146 with value (4 43) 7 with value (4 71)
% 5.21/5.40 ; 40 with value (4 16) 100 with value (4 44) 2 with value (4 72)
% 5.21/5.40 ; 32 with value (4 17) 79 with value (4 45) 7 with value (4 73)
% 5.21/5.40 ; 58 with value (4 18) 87 with value (4 46) 4 with value (4 74)
% 5.21/5.40 ; 63 with value (4 19) 83 with value (4 47) 4 with value (4 75)
% 5.21/5.40 ; 74 with value (4 20) 60 with value (4 48) 2 with value (4 76)
% 5.21/5.40 ; 113 with value (4 21) 74 with value (4 49) 3 with value (4 77)
% 5.21/5.40 ; 72 with value (4 22) 70 with value (4 50) 4 with value (4 78)
% 5.21/5.40 ; 113 with value (4 23) 52 with value (4 51) 2 with value (4 79)
% 5.21/5.40 ; 76 with value (4 24) 79 with value (4 52) 2 with value (4 80)
% 5.21/5.40 ; 108 with value (4 25) 24 with value (4 53) 5 with value (4 81)
% 5.21/5.40 ; 141 with value (4 26) 34 with value (4 54) 5 with value (4 82)
% 5.21/5.40 ; 113 with value (4 27) 33 with value (4 55) 2 with value (4 83)
% 5.21/5.40 ; 130 with value (4 28) 24 with value (4 56) 1 with value (4 87)
% 5.21/5.40 ; 136 with value (4 29) 17 with value (4 57) 4 with value (4 88)
% 5.21/5.40 ; 167 with value (4 30) 28 with value (4 58) 3 with value (4 93)
% 5.21/5.40 ; 122 with value (4 31) 20 with value (4 59) 2 with value (4 94)
% 5.21/5.40 ; 140 with value (4 32) 28 with value (4 60)
% 5.21/5.40 Evaluation took:
% 5.21/5.40 4.916 seconds of real time
% 5.21/5.40 4.572704 seconds of user run time
% 5.21/5.40 0.343447 seconds of system run time
% 5.21/5.40 [Run times include 0.618 seconds GC run time.]
% 5.21/5.40 0 calls to %EVAL
% 5.21/5.40 0 page faults and
% 5.21/5.40 396,821,768 bytes consed.
% 5.21/5.40 :PROOF-FOUND
% 5.21/5.40 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T15:10:25
% 5.21/5.40 :PROOF-FOUND
% 5.21/5.40 *
%------------------------------------------------------------------------------