TSTP Solution File: SWW229+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW229+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 21 01:24:44 EDT 2022
% Result : Theorem 8.07s 8.24s
% Output : Refutation 8.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 14 unt; 0 nHn; 6 RR)
% Number of literals : 20 ( 9 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( ~ class_RealVector_Oreal__normed__vector(X)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X,Y),c_RealVector_Onorm__class_Onorm(X,Z))),c_RealVector_Onorm__class_Onorm(X,c_Groups_Ominus__class_Ominus(X,Y,Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__triangle__ineq3) ).
cnf(228,axiom,
( ~ class_Groups_Ogroup__add(X)
| c_Groups_Ominus__class_Ominus(X,Y,c_Groups_Ouminus__class_Ouminus(X,Z)) = c_Groups_Oplus__class_Oplus(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__minus__eq__add) ).
cnf(559,axiom,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X,Y)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X),c_RealDef_Oreal(tc_Nat_Onat,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__add) ).
cnf(574,axiom,
( ~ class_Rings_Ocomm__semiring__1(X)
| c_Groups_Oplus__class_Oplus(X,Y,Z) = c_Groups_Oplus__class_Oplus(X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
cnf(675,axiom,
c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natfloor__real__of__nat) ).
cnf(1372,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
cnf(1384,axiom,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).
cnf(1407,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
cnf(1490,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(2162,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X,Y) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,Y,X),
inference('HYPERRESOLVE',[status(thm)],[574,1372]) ).
cnf(2880,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,Y)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X,Y),
inference('HYPERRESOLVE',[status(thm)],[228,1384]) ).
cnf(2921,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X,Y)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,Y))),
inference('REWRITE',[status(thm)],[559,2880,theory(equality)]) ).
cnf(2959,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,Y)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,Y,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X)),
inference('REWRITE',[status(thm)],[2162,2880,theory(equality)]) ).
cnf(5228,plain,
c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,Y)))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X,Y),
inference('PARAMODULATE',[status(thm)],[675,2921,theory(equality)]) ).
cnf(6446,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,v_N2____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,v_N1____)))))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_g____(hAPP(v_f____,c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,v_N2____),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,v_N1____))))))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),
inference('REWRITE',[status(thm)],[1490,2959,5228,theory(equality)]) ).
cnf(7510,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,Y))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X,Y))),
inference('HYPERRESOLVE',[status(thm)],[6,1407]) ).
cnf(7511,plain,
$false,
inference('REWRITE',[status(thm)],[6446,7510]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW229+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n017.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 : Sun Jun 5 19:00:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-05T19:00:01
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-05T19:00:01
% 0.55/0.71
% 0.55/0.72 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.57/0.74 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 0.57/0.74 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 0.57/0.75 WARNING:
% 0.57/0.75 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 8.07/8.24 ; Recognized left identity assertion (= (|c_Int_Onumber__class_Onumber__of| |tc_Int_Oint| ?X) ?X).
% 8.07/8.24
% 8.07/8.24 #||
% 8.07/8.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.07/8.24 % SZS output start Refutation
% See solution above
% 8.07/8.24 ||#
% 8.07/8.24
% 8.07/8.24 ; Summary of computation:
% 8.07/8.24 ; 89428 formulas have been input or derived (from 1129 formulas).
% 8.07/8.24 ; 7511 ( 8%) were retained. Of these,
% 8.07/8.24 ; 1748 (23%) were simplified or subsumed later,
% 8.07/8.24 ; 5763 (77%) are still being kept.
% 8.07/8.24 ;
% 8.07/8.24 ; Run time in seconds excluding printing time:
% 8.07/8.24 ; 0.224 3% Read assertion file (1 call)
% 8.07/8.24 ; 0.031 0% Assert (1,254 calls)
% 8.07/8.24 ; 0.986 13% Process new row (81,289 calls)
% 8.07/8.24 ; 2.654 34% Resolution (2,256 calls)
% 8.07/8.24 ; 0.057 1% Paramodulation (1,128 calls)
% 8.07/8.24 ; 0.000 0% Factoring (16 calls)
% 8.07/8.24 ; 0.159 2% Condensing (15,671 calls)
% 8.07/8.24 ; 0.666 9% Forward subsumption (15,671 calls)
% 8.07/8.24 ; 0.183 2% Backward subsumption (3,756 calls)
% 8.07/8.24 ; 0.289 4% Clause clause subsumption (27,312 calls)
% 8.07/8.24 ; 1.825 23% Forward simplification (79,586 calls)
% 8.07/8.24 ; 0.167 2% Backward simplification (7,420 calls)
% 8.07/8.24 ; 0.274 4% Ordering (87,248 calls)
% 8.07/8.24 ; 0.000 0% Sortal reasoning (32 calls)
% 8.07/8.24 ; 0.002 0% Purity testing (1 call)
% 8.07/8.24 ; 0.250 3% Other
% 8.07/8.24 ; 7.767 Total
% 8.07/8.24 ; 7.769 Real time
% 8.07/8.24 ;
% 8.07/8.24 ; Term-hash-array has 12,687 terms in all.
% 8.07/8.24 ; Feature-vector-row-index has 2,982 entries (2,982 at peak, 3,756 added, 774 deleted).
% 8.07/8.24 ; Feature-vector-row-index has 18,876 nodes (18,876 at peak, 23,171 added, 4,295 deleted).
% 8.07/8.24 ; Retrieved 41,134 possibly forward subsuming rows in 15,671 calls.
% 8.07/8.24 ; Retrieved 3,356 possibly backward subsumed rows in 3,756 calls.
% 8.07/8.24 ; Path-index has 10,028 entries (10,031 at peak, 13,067 added, 3,039 deleted).
% 8.07/8.24 ; Path-index has 30,774 nodes (30,796 at peak, 34,364 added, 3,590 deleted).
% 8.07/8.24 ; Trie-index has 10,028 entries (10,031 at peak, 13,067 added, 3,039 deleted).
% 8.07/8.24 ; Trie-index has 51,902 nodes (51,964 at peak, 66,949 added, 15,047 deleted).
% 8.07/8.24 ; Retrieved 365,170 generalization terms in 533,550 calls.
% 8.07/8.24 ; Retrieved 8,156 instance terms in 4,357 calls.
% 8.07/8.24 ; Retrieved 3,689,173 unifiable terms in 61,218 calls.
% 8.07/8.24 ;
% 8.07/8.24 ; The agenda of rows to process has 3 entries:
% 8.07/8.24 ; 3 with value 23
% 8.07/8.24 ; The agenda of input rows to give has 304 entries:
% 8.07/8.24 ; 44 with value 25 4 with value 36 2 with value 47
% 8.07/8.24 ; 4 with value 26 4 with value 37 3 with value 50
% 8.07/8.24 ; 101 with value 27 3 with value 38 2 with value 52
% 8.07/8.24 ; 17 with value 28 11 with value 39 3 with value 56
% 8.07/8.24 ; 7 with value 29 4 with value 40 1 with value 57
% 8.07/8.24 ; 10 with value 30 2 with value 41 1 with value 60
% 8.07/8.24 ; 21 with value 31 5 with value 42 1 with value 61
% 8.07/8.24 ; 8 with value 32 1 with value 43 1 with value 69
% 8.07/8.24 ; 10 with value 33 1 with value 44 1 with value 70
% 8.07/8.24 ; 18 with value 34 2 with value 45 1 with value 81
% 8.07/8.24 ; 11 with value 35
% 8.07/8.24 ; The agenda of rows to give has 4422 entries:
% 8.07/8.24 ; 4 with value (4 4) 92 with value (4 31) 17 with value (4 57)
% 8.07/8.24 ; 153 with value (4 6) 123 with value (4 32) 4 with value (4 58)
% 8.07/8.24 ; 24 with value (4 7) 93 with value (4 33) 13 with value (4 59)
% 8.07/8.24 ; 20 with value (4 8) 106 with value (4 34) 2 with value (4 60)
% 8.07/8.24 ; 37 with value (4 9) 61 with value (4 35) 4 with value (4 61)
% 8.07/8.24 ; 50 with value (4 10) 69 with value (4 36) 1 with value (4 62)
% 8.07/8.24 ; 88 with value (4 11) 71 with value (4 37) 6 with value (4 63)
% 8.07/8.24 ; 125 with value (4 12) 53 with value (4 38) 6 with value (4 64)
% 8.07/8.24 ; 161 with value (4 13) 59 with value (4 39) 4 with value (4 65)
% 8.07/8.24 ; 143 with value (4 14) 40 with value (4 40) 9 with value (4 66)
% 8.07/8.24 ; 142 with value (4 15) 39 with value (4 41) 2 with value (4 67)
% 8.07/8.24 ; 147 with value (4 16) 24 with value (4 42) 3 with value (4 68)
% 8.07/8.24 ; 174 with value (4 17) 54 with value (4 43) 1 with value (4 69)
% 8.07/8.24 ; 173 with value (4 18) 39 with value (4 44) 1 with value (4 70)
% 8.07/8.24 ; 163 with value (4 19) 42 with value (4 45) 1 with value (4 71)
% 8.07/8.24 ; 193 with value (4 20) 35 with value (4 46) 3 with value (4 72)
% 8.07/8.24 ; 98 with value (4 21) 31 with value (4 47) 1 with value (4 73)
% 8.07/8.24 ; 184 with value (4 22) 29 with value (4 48) 4 with value (4 75)
% 8.07/8.24 ; 122 with value (4 23) 15 with value (4 49) 7 with value (4 77)
% 8.07/8.25 ; 137 with value (4 24) 11 with value (4 50) 4 with value (4 79)
% 8.07/8.25 ; 120 with value (4 25) 24 with value (4 51) 1 with value (4 80)
% 8.07/8.25 ; 129 with value (4 26) 16 with value (4 52) 3 with value (4 81)
% 8.07/8.25 ; 140 with value (4 27) 22 with value (4 53) 3 with value (4 82)
% 8.07/8.25 ; 143 with value (4 28) 19 with value (4 54) 3 with value (4 84)
% 8.07/8.25 ; 100 with value (4 29) 20 with value (4 55) 2 with value (4 86)
% 8.07/8.25 ; 149 with value (4 30) 11 with value (4 56)
% 8.07/8.25 Evaluation took:
% 8.07/8.25 7.771 seconds of real time
% 8.07/8.25 7.216322 seconds of user run time
% 8.07/8.25 0.555172 seconds of system run time
% 8.07/8.25 [Run times include 0.836 seconds GC run time.]
% 8.07/8.25 0 calls to %EVAL
% 8.07/8.25 0 page faults and
% 8.07/8.25 577,374,224 bytes consed.
% 8.07/8.25 :PROOF-FOUND
% 8.07/8.25 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T19:00:08
% 8.07/8.25 :PROOF-FOUND
% 8.07/8.25 *
%------------------------------------------------------------------------------