%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV634-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 21:35:32 EDT 2022
% Result : Unsatisfiable 6.89s 7.12s
% Output : Refutation 6.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 19 ( 17 unt; 0 nHn; 9 RR)
% Number of literals : 21 ( 15 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 21 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mult__Suc_0,axiom,
c_HOL_Otimes__class_Otimes(c_Suc(X),Y,tc_nat) = c_HOL_Oplus__class_Oplus(Y,c_HOL_Otimes__class_Otimes(X,Y,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__Suc_0) ).
cnf(cls_less__add__Suc2_0,axiom,
c_HOL_Oord__class_Oless(X,c_Suc(c_HOL_Oplus__class_Oplus(Y,X,tc_nat)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__Suc2_0) ).
cnf(cls_Suc__eq__plus1__left_0,axiom,
c_Suc(X) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__eq__plus1__left_0) ).
cnf(cls_One__nat__def_0,axiom,
c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_One__nat__def_0) ).
cnf(cls_nat__mult__1_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X,tc_nat) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__1_0) ).
cnf(cls_root__cancel_0,axiom,
( c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(X,Y,tc_nat)),c_HOL_Otimes__class_Otimes(X,Z,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(Y),Z,tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_root__cancel_0) ).
cnf(cls_class__semiring_Omul__pwr_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
| c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(Y,Z,X),c_Power_Opower__class_Opower(Y,U,X),X) = c_Power_Opower__class_Opower(Y,c_HOL_Oplus__class_Oplus(Z,U,tc_nat),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__pwr_0) ).
cnf(cls_numeral__2__eq__2_0,axiom,
c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) = c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_numeral__2__eq__2_0) ).
cnf(729,plain,
c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat) = c_Suc(c_HOL_Oone__class_Oone(tc_nat)),
inference('REWRITE',[status(thm)],[cls_numeral__2__eq__2_0,cls_One__nat__def_0,theory(equality)]) ).
cnf(cls_nat__mult__commute_0,axiom,
c_HOL_Otimes__class_Otimes(X,Y,tc_nat) = c_HOL_Otimes__class_Otimes(Y,X,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__commute_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_m),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(909,plain,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oplus__class_Oplus(v_m,v_m,tc_nat)),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_m),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_Complex_Ocomplex),
inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_nat__mult__1_0,cls_mult__Suc_0,729,theory(equality)]) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(1097,plain,
c_HOL_Oord__class_Oless(X,c_Suc(c_Suc(X)),tc_nat),
inference('PARAMODULATE',[status(thm)],[cls_less__add__Suc2_0,cls_Suc__eq__plus1__left_0,theory(equality)]) ).
cnf(2531,plain,
c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X,Y,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X,Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(X,c_HOL_Oplus__class_Oplus(Y,Z,tc_nat),tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_class__semiring_Omul__pwr_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(2535,plain,
c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oplus__class_Oplus(v_m,v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oplus__class_Oplus(v_m,v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_m),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_Complex_Ocomplex),
inference('REWRITE',[status(thm)],[909,2531,theory(equality)]) ).
cnf(3233,plain,
c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oplus__class_Oplus(v_m,v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_j,v_i,tc_nat),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oplus__class_Oplus(v_m,v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_j,v_i,tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_m),c_HOL_Otimes__class_Otimes(v_j,v_i,tc_nat),tc_Complex_Ocomplex),
inference('PARAMODULATE',[status(thm)],[2535,cls_nat__mult__commute_0,theory(equality)]) ).
cnf(6399,plain,
c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oplus__class_Oplus(X,X,tc_nat)),Y,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Oplus__class_Oplus(X,X,tc_nat)),Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X),Y,tc_Complex_Ocomplex),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_root__cancel_0,1097]),2531,cls_nat__mult__1_0,cls_mult__Suc_0,cls_One__nat__def_0,theory(equality)]) ).
cnf(6400,plain,
$false,
inference('REWRITE',[status(thm)],[3233,6399,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWV634-1 : TPTP v8.1.0. Released v4.1.0.
% 0.05/0.11 % Command : run-snark %s %d
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Wed Jun 15 15:57:44 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.15/0.39 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.40 *
% 0.15/0.40 *
% 0.15/0.40 #<PACKAGE "SNARK-USER">
% 0.15/0.40 *
% 0.15/0.40 SNARK-TPTP-OPTIONS
% 0.15/0.40 *
% 0.15/0.40 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.40 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.40 (USE-FACTORING :POS)
% 0.15/0.40 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.40 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.40 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.40 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.40 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.40 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.40 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.40 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.40 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.40 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.40 *
% 0.15/0.40 "."
% 0.15/0.40 *
% 0.15/0.41 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T15:57:44
% 0.15/0.41 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-15T15:57:44
% 0.38/0.64
% 0.38/0.64 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.38/0.64 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 6.89/7.12 ; Recognized right identity assertion (= (|c_Int_Onumber__class_Onumber__of| ?X |tc_Int_Oint|) ?X).
% 6.89/7.12
% 6.89/7.12 #||
% 6.89/7.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.89/7.12 % SZS output start Refutation
% See solution above
% 6.89/7.12 ||#
% 6.89/7.12
% 6.89/7.12 ; Summary of computation:
% 6.89/7.12 ; 36359 formulas have been input or derived (from 1036 formulas).
% 6.89/7.12 ; 6400 (18%) were retained. Of these,
% 6.89/7.12 ; 607 ( 9%) were simplified or subsumed later,
% 6.89/7.12 ; 5793 (91%) are still being kept.
% 6.89/7.12 ;
% 6.89/7.12 ; Run time in seconds excluding printing time:
% 6.89/7.12 ; 0.225 3% Read assertion file (1 call)
% 6.89/7.12 ; 0.029 0% Assert (1,427 calls)
% 6.89/7.12 ; 0.644 10% Process new row (29,928 calls)
% 6.89/7.12 ; 1.766 26% Resolution (2,070 calls)
% 6.89/7.12 ; 0.077 1% Paramodulation (1,035 calls)
% 6.89/7.12 ; 0.000 0% Factoring (9 calls)
% 6.89/7.12 ; 0.095 1% Condensing (8,118 calls)
% 6.89/7.12 ; 0.637 9% Forward subsumption (8,118 calls)
% 6.89/7.12 ; 0.119 2% Backward subsumption (2,520 calls)
% 6.89/7.12 ; 0.129 2% Clause clause subsumption (27,131 calls)
% 6.89/7.12 ; 1.695 25% Forward simplification (29,705 calls)
% 6.89/7.12 ; 0.182 3% Backward simplification (6,340 calls)
% 6.89/7.12 ; 0.968 14% Ordering (123,719 calls)
% 6.89/7.12 ; 0.001 0% Sortal reasoning (32 calls)
% 6.89/7.12 ; 0.004 0% Purity testing (1 call)
% 6.89/7.12 ; 0.139 2% Other
% 6.89/7.12 ; 6.710 Total
% 6.89/7.12 ; 6.713 Real time
% 6.89/7.12 ;
% 6.89/7.12 ; Term-hash-array has 16,251 terms in all.
% 6.89/7.12 ; Feature-vector-row-index has 2,425 entries (2,425 at peak, 2,520 added, 95 deleted).
% 6.89/7.12 ; Feature-vector-row-index has 11,990 nodes (11,990 at peak, 12,829 added, 839 deleted).
% 6.89/7.12 ; Retrieved 56,448 possibly forward subsuming rows in 8,118 calls.
% 6.89/7.12 ; Retrieved 2,803 possibly backward subsumed rows in 2,520 calls.
% 6.89/7.12 ; Path-index has 14,627 entries (15,492 at peak, 16,320 added, 1,693 deleted).
% 6.89/7.12 ; Path-index has 20,952 nodes (22,064 at peak, 22,697 added, 1,745 deleted).
% 6.89/7.12 ; Trie-index has 14,627 entries (15,492 at peak, 16,320 added, 1,693 deleted).
% 6.89/7.12 ; Trie-index has 94,327 nodes (116,125 at peak, 122,509 added, 28,182 deleted).
% 6.89/7.12 ; Retrieved 221,009 generalization terms in 323,496 calls.
% 6.89/7.12 ; Retrieved 5,241 instance terms in 3,973 calls.
% 6.89/7.12 ; Retrieved 3,101,016 unifiable terms in 34,221 calls.
% 6.89/7.12 ;
% 6.89/7.12 ; The agenda of backward simplifiable rows to process has 183 entries:
% 6.89/7.12 ; 183 with value 0
% 6.89/7.12 ; The agenda of rows to process has 705 entries:
% 6.89/7.12 ; 88 with value 32 20 with value 41 16 with value 50
% 6.89/7.12 ; 73 with value 33 25 with value 42 15 with value 51
% 6.89/7.12 ; 49 with value 34 31 with value 43 1 with value 52
% 6.89/7.12 ; 63 with value 35 21 with value 44 7 with value 53
% 6.89/7.12 ; 30 with value 36 25 with value 45 4 with value 54
% 6.89/7.12 ; 44 with value 37 25 with value 46 8 with value 55
% 6.89/7.12 ; 40 with value 38 11 with value 47 8 with value 56
% 6.89/7.12 ; 34 with value 39 22 with value 48 4 with value 60
% 6.89/7.12 ; 36 with value 40 5 with value 49
% 6.89/7.12 ; The agenda of rows to give has 4764 entries:
% 6.89/7.12 ; 60 with value (4 10) 252 with value (4 34) 5 with value (4 57)
% 6.89/7.12 ; 89 with value (4 11) 108 with value (4 35) 4 with value (4 58)
% 6.89/7.12 ; 101 with value (4 12) 250 with value (4 36) 5 with value (4 59)
% 6.89/7.12 ; 120 with value (4 13) 125 with value (4 37) 1 with value (4 60)
% 6.89/7.12 ; 117 with value (4 14) 184 with value (4 38) 3 with value (4 61)
% 6.89/7.12 ; 173 with value (4 15) 155 with value (4 39) 1 with value (4 62)
% 6.89/7.12 ; 108 with value (4 16) 155 with value (4 40) 17 with value (4 63)
% 6.89/7.12 ; 103 with value (4 17) 154 with value (4 41) 3 with value (4 64)
% 6.89/7.12 ; 126 with value (4 18) 60 with value (4 42) 6 with value (4 65)
% 6.89/7.12 ; 156 with value (4 19) 21 with value (4 43) 2 with value (4 69)
% 6.89/7.12 ; 104 with value (4 20) 39 with value (4 44) 2 with value (4 71)
% 6.89/7.12 ; 175 with value (4 21) 18 with value (4 45) 1 with value (4 80)
% 6.89/7.12 ; 110 with value (4 22) 26 with value (4 46) 4 with value (4 86)
% 6.89/7.12 ; 87 with value (4 23) 37 with value (4 47) 1 with value (4 92)
% 6.89/7.12 ; 109 with value (4 24) 22 with value (4 48) 2 with value (4 93)
% 6.89/7.12 ; 111 with value (4 25) 44 with value (4 49) 6 with value (4 96)
% 6.89/7.12 ; 152 with value (4 26) 36 with value (4 50) 8 with value (4 98)
% 6.89/7.12 ; 112 with value (4 27) 21 with value (4 51) 1 with value (4 99)
% 6.89/7.12 ; 119 with value (4 28) 13 with value (4 52) 1 with value (4 105)
% 6.89/7.12 ; 122 with value (4 29) 6 with value (4 53) 1 with value (4 107)
% 6.89/7.12 ; 197 with value (4 30) 13 with value (4 54) 1 with value (4 108)
% 6.89/7.12 ; 127 with value (4 31) 7 with value (4 55) 4 with value (4 132)
% 6.89/7.12 ; 128 with value (4 32) 4 with value (4 56) 2 with value (4 135)
% 6.89/7.12 ; 127 with value (4 33)
% 6.89/7.12 Evaluation took:
% 6.89/7.12 6.715 seconds of real time
% 6.89/7.12 6.261092 seconds of user run time
% 6.89/7.12 0.454098 seconds of system run time
% 6.89/7.12 [Run times include 0.819 seconds GC run time.]
% 6.89/7.12 0 calls to %EVAL
% 6.89/7.12 0 page faults and
% 6.89/7.12 459,824,456 bytes consed.
% 6.89/7.12 :PROOF-FOUND
% 6.89/7.12 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T15:57:50
% 6.89/7.12 :PROOF-FOUND
% 6.89/7.12 *
%------------------------------------------------------------------------------