TSTP Solution File: ALG421-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG421-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 : Thu Jul 14 18:00:47 EDT 2022
% Result : Unsatisfiable 1.21s 1.40s
% Output : Refutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 6 RR)
% Number of literals : 11 ( 6 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_poly__mult_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X)
| c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(Y,Z,tc_Polynomial_Opoly(X)),U,X) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(Y,U,X),c_Polynomial_Opoly(Z,U,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__mult_0) ).
cnf(cls_poly__power_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
| c_Polynomial_Opoly(c_Power_Opower__class_Opower(Y,Z,tc_Polynomial_Opoly(X)),U,X) = c_Power_Opower__class_Opower(c_Polynomial_Opoly(Y,U,X),Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__power_0) ).
cnf(cls_u_0,axiom,
c_Power_Opower__class_Opower(v_r____,c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_u_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_s____,v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_u____,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_Polynomial_Opoly(v_r____,v_x,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
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(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
cnf(1552,plain,
c_Polynomial_Opoly(c_Power_Opower__class_Opower(X,Y,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),Z,tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_Polynomial_Opoly(X,Z,tc_Complex_Ocomplex),Y,tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_poly__power_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(1553,plain,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_s____,v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_u____,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x,tc_Complex_Ocomplex),
inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_u_0,1552,theory(equality)]) ).
cnf(1771,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[cls_poly__mult_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,1553]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG421-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n025.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 8 08:08:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T08:08:04
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-08T08:08:04
% 0.47/0.64
% 0.47/0.64 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.47/0.66 WARNING:
% 0.47/0.66 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66 WARNING:
% 0.47/0.66 |class_OrderedGroup_Olordered__ab__group__add__abs| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66 WARNING:
% 0.47/0.66 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66 WARNING:
% 0.47/0.66 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66 WARNING:
% 0.47/0.66 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.21/1.40 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 1.21/1.40
% 1.21/1.40 #||
% 1.21/1.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.21/1.40 % SZS output start Refutation
% See solution above
% 1.21/1.40 ||#
% 1.21/1.40
% 1.21/1.40 ; Summary of computation:
% 1.21/1.40 ; 5663 formulas have been input or derived (from 553 formulas).
% 1.21/1.40 ; 1771 (31%) were retained. Of these,
% 1.21/1.40 ; 64 ( 4%) were simplified or subsumed later,
% 1.21/1.40 ; 1707 (96%) are still being kept.
% 1.21/1.40 ;
% 1.21/1.40 ; Run time in seconds excluding printing time:
% 1.21/1.40 ; 0.160 17% Read assertion file (1 call)
% 1.21/1.40 ; 0.016 2% Assert (846 calls)
% 1.21/1.40 ; 0.146 16% Process new row (4,996 calls)
% 1.21/1.40 ; 0.130 14% Resolution (1,104 calls)
% 1.21/1.40 ; 0.026 3% Paramodulation (552 calls)
% 1.21/1.40 ; 0.000 0% Factoring (3 calls)
% 1.21/1.40 ; 0.024 3% Condensing (2,023 calls)
% 1.21/1.40 ; 0.112 12% Forward subsumption (2,023 calls)
% 1.21/1.40 ; 0.047 5% Backward subsumption (1,070 calls)
% 1.21/1.40 ; 0.014 1% Clause clause subsumption (6,442 calls)
% 1.21/1.40 ; 0.130 14% Forward simplification (4,915 calls)
% 1.21/1.40 ; 0.012 1% Backward simplification (1,763 calls)
% 1.21/1.40 ; 0.065 7% Ordering (13,485 calls)
% 1.21/1.40 ; 0.000 0% Sortal reasoning (32 calls)
% 1.21/1.40 ; 0.003 0% Purity testing (1 call)
% 1.21/1.40 ; 0.049 5% Other
% 1.21/1.40 ; 0.934 Total
% 1.21/1.40 ; 0.935 Real time
% 1.21/1.40 ;
% 1.21/1.40 ; Term-hash-array has 3,214 terms in all.
% 1.21/1.40 ; Feature-vector-row-index has 1,051 entries (1,051 at peak, 1,070 added, 19 deleted).
% 1.21/1.40 ; Feature-vector-row-index has 4,076 nodes (4,076 at peak, 4,194 added, 118 deleted).
% 1.21/1.40 ; Retrieved 9,432 possibly forward subsuming rows in 2,023 calls.
% 1.21/1.40 ; Retrieved 1,008 possibly backward subsumed rows in 1,070 calls.
% 1.21/1.40 ; Path-index has 3,125 entries (3,125 at peak, 3,243 added, 118 deleted).
% 1.21/1.40 ; Path-index has 7,258 nodes (7,258 at peak, 7,367 added, 109 deleted).
% 1.21/1.40 ; Trie-index has 3,125 entries (3,125 at peak, 3,243 added, 118 deleted).
% 1.21/1.40 ; Trie-index has 12,138 nodes (12,138 at peak, 12,692 added, 554 deleted).
% 1.21/1.40 ; Retrieved 19,151 generalization terms in 26,270 calls.
% 1.21/1.40 ; Retrieved 1,352 instance terms in 808 calls.
% 1.21/1.40 ; Retrieved 169,865 unifiable terms in 4,161 calls.
% 1.21/1.40 ;
% 1.21/1.40 ; The agenda of rows to process has 5 entries:
% 1.21/1.40 ; 1 with value 4 4 with value 24
% 1.21/1.40 ; The agenda of input rows to give has 86 entries:
% 1.21/1.40 ; 31 with value 27 4 with value 34 3 with value 43
% 1.21/1.40 ; 9 with value 28 1 with value 36 1 with value 44
% 1.21/1.40 ; 5 with value 29 5 with value 37 1 with value 45
% 1.21/1.40 ; 6 with value 30 1 with value 38 2 with value 46
% 1.21/1.40 ; 2 with value 31 5 with value 39 1 with value 47
% 1.21/1.40 ; 2 with value 32 3 with value 42 1 with value 52
% 1.21/1.40 ; 3 with value 33
% 1.21/1.40 ; The agenda of rows to give has 1068 entries:
% 1.21/1.40 ; 2 with value (4 4) 40 with value (4 20) 15 with value (4 34)
% 1.21/1.40 ; 53 with value (4 6) 36 with value (4 21) 17 with value (4 35)
% 1.21/1.40 ; 12 with value (4 8) 54 with value (4 22) 16 with value (4 36)
% 1.21/1.40 ; 7 with value (4 9) 36 with value (4 23) 8 with value (4 37)
% 1.21/1.40 ; 19 with value (4 10) 31 with value (4 24) 13 with value (4 38)
% 1.21/1.40 ; 22 with value (4 11) 29 with value (4 25) 7 with value (4 39)
% 1.21/1.40 ; 42 with value (4 12) 56 with value (4 26) 3 with value (4 40)
% 1.21/1.40 ; 32 with value (4 13) 21 with value (4 27) 2 with value (4 41)
% 1.21/1.40 ; 48 with value (4 14) 25 with value (4 28) 3 with value (4 43)
% 1.21/1.40 ; 52 with value (4 15) 32 with value (4 29) 4 with value (4 46)
% 1.21/1.40 ; 54 with value (4 16) 37 with value (4 30) 4 with value (4 49)
% 1.21/1.40 ; 46 with value (4 17) 28 with value (4 31) 1 with value (4 50)
% 1.21/1.40 ; 43 with value (4 18) 21 with value (4 32) 2 with value (4 53)
% 1.21/1.40 ; 75 with value (4 19) 16 with value (4 33) 4 with value (4 54)
% 1.21/1.40 Evaluation took:
% 1.21/1.40 0.936 seconds of real time
% 1.21/1.40 0.868164 seconds of user run time
% 1.21/1.40 0.068201 seconds of system run time
% 1.21/1.40 [Run times include 0.085 seconds GC run time.]
% 1.21/1.40 0 calls to %EVAL
% 1.21/1.40 0 page faults and
% 1.21/1.40 63,941,824 bytes consed.
% 1.21/1.40 :PROOF-FOUND
% 1.21/1.40 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T08:08:05
% 1.21/1.40 :PROOF-FOUND
% 1.21/1.40 *
%------------------------------------------------------------------------------