TSTP Solution File: SWV712-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV712-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 21:35:46 EDT 2022
% Result : Unsatisfiable 1.36s 1.56s
% Output : Refutation 1.36s
% 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 : 14 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-5 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Suc_Ohyps_0,axiom,
( c_FFT__Mirabelle_OIDFT(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_OIFFT(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/sandbox2/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/sandbox2/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/sandbox2/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_OIDFT(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_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(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____))),tc_Complex_Ocomplex)),v_i____)),c_FFT__Mirabelle_OIDFT(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_OIFFT(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_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(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____))),tc_Complex_Ocomplex)),v_i____)),hAPP(c_FFT__Mirabelle_OIFFT(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).
cnf(1331,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(1332,plain,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_Complex_Ocomplex),c_FFT__Mirabelle_OIDFT(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_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(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____))),tc_Complex_Ocomplex)),v_i____)),c_FFT__Mirabelle_OIDFT(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_OIFFT(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_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(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____))),tc_Complex_Ocomplex)),v_i____)),hAPP(c_FFT__Mirabelle_OIFFT(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_0,1331,theory(equality)]) ).
cnf(1721,plain,
c_FFT__Mirabelle_OIDFT(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_OIFFT(v_ka____,X),v_i____),
inference('HYPERRESOLVE',[status(thm)],[cls_Suc_Ohyps_0,cls_True_0]) ).
cnf(1722,plain,
$false,
inference('REWRITE',[status(thm)],[1332,1721,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV712-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 : Thu Jun 16 00:19:09 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T00:19:09
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-16T00:19:09
% 0.46/0.70 WARNING:
% 0.46/0.70 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.70 WARNING:
% 0.46/0.70 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.70 WARNING:
% 0.46/0.70 |c_Fun_Oinj__on| is a 4-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.70 WARNING:
% 0.46/0.70 |hBOOL| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.36/1.56
% 1.36/1.56
% 1.36/1.56 #||
% 1.36/1.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.36/1.56 % SZS output start Refutation
% See solution above
% 1.36/1.56 ||#
% 1.36/1.56
% 1.36/1.56 ; Summary of computation:
% 1.36/1.56 ; 5691 formulas have been input or derived (from 540 formulas).
% 1.36/1.56 ; 1722 (30%) were retained. Of these,
% 1.36/1.56 ; 147 ( 9%) were simplified or subsumed later,
% 1.36/1.56 ; 1575 (91%) are still being kept.
% 1.36/1.56 ;
% 1.36/1.56 ; Run time in seconds excluding printing time:
% 1.36/1.56 ; 0.172 16% Read assertion file (1 call)
% 1.36/1.56 ; 0.015 1% Assert (804 calls)
% 1.36/1.56 ; 0.156 15% Process new row (4,880 calls)
% 1.36/1.56 ; 0.139 13% Resolution (1,078 calls)
% 1.36/1.56 ; 0.028 3% Paramodulation (539 calls)
% 1.36/1.56 ; 0.000 0% Factoring (5 calls)
% 1.36/1.56 ; 0.032 3% Condensing (2,305 calls)
% 1.36/1.56 ; 0.171 16% Forward subsumption (2,305 calls)
% 1.36/1.56 ; 0.039 4% Backward subsumption (994 calls)
% 1.36/1.56 ; 0.039 4% Clause clause subsumption (4,278 calls)
% 1.36/1.56 ; 0.157 15% Forward simplification (4,783 calls)
% 1.36/1.56 ; 0.020 2% Backward simplification (1,719 calls)
% 1.36/1.56 ; 0.046 4% Ordering (12,164 calls)
% 1.36/1.56 ; 0.001 0% Sortal reasoning (32 calls)
% 1.36/1.56 ; 0.002 0% Purity testing (1 call)
% 1.36/1.56 ; 0.044 4% Other
% 1.36/1.56 ; 1.061 Total
% 1.36/1.56 ; 1.064 Real time
% 1.36/1.56 ;
% 1.36/1.56 ; Term-hash-array has 3,630 terms in all.
% 1.36/1.56 ; Feature-vector-row-index has 943 entries (943 at peak, 994 added, 51 deleted).
% 1.36/1.56 ; Feature-vector-row-index has 7,714 nodes (7,714 at peak, 8,295 added, 581 deleted).
% 1.36/1.56 ; Retrieved 9,937 possibly forward subsuming rows in 2,305 calls.
% 1.36/1.56 ; Retrieved 591 possibly backward subsumed rows in 994 calls.
% 1.36/1.56 ; Path-index has 3,387 entries (3,408 at peak, 3,689 added, 302 deleted).
% 1.36/1.56 ; Path-index has 4,684 nodes (4,923 at peak, 5,314 added, 630 deleted).
% 1.36/1.56 ; Trie-index has 3,387 entries (3,408 at peak, 3,689 added, 302 deleted).
% 1.36/1.56 ; Trie-index has 14,804 nodes (15,403 at peak, 17,263 added, 2,459 deleted).
% 1.36/1.56 ; Retrieved 13,665 generalization terms in 29,960 calls.
% 1.36/1.56 ; Retrieved 1,638 instance terms in 869 calls.
% 1.36/1.56 ; Retrieved 184,004 unifiable terms in 5,241 calls.
% 1.36/1.56 ;
% 1.36/1.56 ; The agenda of rows to process has 4 entries:
% 1.36/1.56 ; 1 with value 47 1 with value 48 2 with value 64
% 1.36/1.56 ; The agenda of input rows to give has 22 entries:
% 1.36/1.56 ; 1 with value 45 1 with value 53 1 with value 60
% 1.36/1.56 ; 3 with value 46 2 with value 54 1 with value 64
% 1.36/1.56 ; 2 with value 49 1 with value 55 1 with value 67
% 1.36/1.56 ; 2 with value 50 4 with value 56 1 with value 71
% 1.36/1.56 ; 1 with value 52 1 with value 59
% 1.36/1.56 ; The agenda of rows to give has 1017 entries:
% 1.36/1.56 ; 1 with value (4 4) 21 with value (4 24) 24 with value (4 43)
% 1.36/1.56 ; 3 with value (4 6) 46 with value (4 25) 16 with value (4 44)
% 1.36/1.56 ; 7 with value (4 7) 28 with value (4 26) 11 with value (4 45)
% 1.36/1.56 ; 7 with value (4 8) 32 with value (4 27) 9 with value (4 46)
% 1.36/1.56 ; 12 with value (4 9) 29 with value (4 28) 11 with value (4 47)
% 1.36/1.56 ; 10 with value (4 10) 25 with value (4 29) 5 with value (4 48)
% 1.36/1.56 ; 16 with value (4 11) 46 with value (4 30) 5 with value (4 49)
% 1.36/1.56 ; 17 with value (4 12) 17 with value (4 31) 3 with value (4 50)
% 1.36/1.56 ; 15 with value (4 13) 37 with value (4 32) 3 with value (4 51)
% 1.36/1.56 ; 26 with value (4 14) 35 with value (4 33) 2 with value (4 53)
% 1.36/1.56 ; 22 with value (4 15) 20 with value (4 34) 3 with value (4 54)
% 1.36/1.56 ; 19 with value (4 16) 31 with value (4 35) 2 with value (4 55)
% 1.36/1.56 ; 17 with value (4 17) 30 with value (4 36) 2 with value (4 58)
% 1.36/1.56 ; 35 with value (4 18) 28 with value (4 37) 1 with value (4 59)
% 1.36/1.56 ; 30 with value (4 19) 26 with value (4 38) 2 with value (4 60)
% 1.36/1.56 ; 37 with value (4 20) 20 with value (4 39) 1 with value (4 61)
% 1.36/1.56 ; 43 with value (4 21) 24 with value (4 40) 1 with value (4 64)
% 1.36/1.56 ; 23 with value (4 22) 19 with value (4 41) 1 with value (4 66)
% 1.36/1.56 ; 46 with value (4 23) 15 with value (4 42)
% 1.36/1.56 Evaluation took:
% 1.36/1.56 1.065 seconds of real time
% 1.36/1.56 0.975051 seconds of user run time
% 1.36/1.56 0.090066 seconds of system run time
% 1.36/1.56 [Run times include 0.078 seconds GC run time.]
% 1.36/1.56 0 calls to %EVAL
% 1.36/1.56 0 page faults and
% 1.36/1.56 84,238,992 bytes consed.
% 1.36/1.56 :PROOF-FOUND
% 1.36/1.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T00:19:10
% 1.36/1.56 :PROOF-FOUND
% 1.36/1.56 *
%------------------------------------------------------------------------------