TSTP Solution File: SWW217+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW217+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 01:24:43 EDT 2022
% Result : Theorem 10.98s 11.15s
% Output : Refutation 10.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 9 RR)
% Number of literals : 15 ( 2 equ; 6 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_dme) ).
cnf(9,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096cmod_A_Iw_A_N_Az_J_A_K_Acmod_A_Ipoly_Acs_A_Iw_A_N_Az_J_J_A_060_061_Ad_A_K_Am_096) ).
cnf(10,axiom,
( ~ class_RealVector_Oreal__normed__div__algebra(X)
| c_RealVector_Onorm__class_Onorm(X,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X),Y),Z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X,Y)),c_RealVector_Onorm__class_Onorm(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__mult) ).
cnf(691,axiom,
( ~ class_Orderings_Oorder(X)
| ~ c_Orderings_Oord__class_Oless(X,Y,Z)
| ~ c_Orderings_Oord__class_Oless__eq(X,U,Y)
| c_Orderings_Oord__class_Oless(X,U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I7_J) ).
cnf(1454,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).
cnf(1465,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).
cnf(1557,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(8605,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X),Y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,Y)),
inference('HYPERRESOLVE',[status(thm)],[10,1465]) ).
cnf(8606,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
inference('REWRITE',[status(thm)],[9,8605,theory(equality)]) ).
cnf(8607,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference('REWRITE',[status(thm)],[1557,8605,theory(equality)]) ).
cnf(8616,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[691,8607,1454,5]),8606]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWW217+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n022.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 5 19:22:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T19:22:06
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-05T19:22:06
% 0.57/0.75
% 0.57/0.76 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_RealDef_Oreal| ?X ?X).
% 0.57/0.77 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 0.57/0.78 WARNING:
% 0.57/0.78 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 10.98/11.15 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 10.98/11.15
% 10.98/11.15 #||
% 10.98/11.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.98/11.15 % SZS output start Refutation
% See solution above
% 10.98/11.16 ||#
% 10.98/11.16
% 10.98/11.16 ; Summary of computation:
% 10.98/11.16 ; 120036 formulas have been input or derived (from 979 formulas).
% 10.98/11.16 ; 8616 ( 7%) were retained. Of these,
% 10.98/11.16 ; 241 ( 3%) were simplified or subsumed later,
% 10.98/11.16 ; 8375 (97%) are still being kept.
% 10.98/11.16 ;
% 10.98/11.16 ; Run time in seconds excluding printing time:
% 10.98/11.16 ; 0.236 2% Read assertion file (1 call)
% 10.98/11.16 ; 0.032 0% Assert (1,260 calls)
% 10.98/11.16 ; 0.861 8% Process new row (112,213 calls)
% 10.98/11.16 ; 4.163 39% Resolution (1,956 calls)
% 10.98/11.16 ; 0.057 1% Paramodulation (978 calls)
% 10.98/11.16 ; 0.000 0% Factoring (18 calls)
% 10.98/11.16 ; 0.220 2% Condensing (19,665 calls)
% 10.98/11.16 ; 1.090 10% Forward subsumption (19,665 calls)
% 10.98/11.16 ; 0.254 2% Backward subsumption (4,366 calls)
% 10.98/11.16 ; 0.299 3% Clause clause subsumption (45,282 calls)
% 10.98/11.16 ; 2.588 24% Forward simplification (112,206 calls)
% 10.98/11.16 ; 0.082 1% Backward simplification (8,579 calls)
% 10.98/11.16 ; 0.429 4% Ordering (140,165 calls)
% 10.98/11.16 ; 0.000 0% Sortal reasoning (32 calls)
% 10.98/11.16 ; 0.004 0% Purity testing (1 call)
% 10.98/11.16 ; 0.343 3% Other
% 10.98/11.16 ; 10.658 Total
% 10.98/11.16 ; 10.661 Real time
% 10.98/11.16 ;
% 10.98/11.16 ; Term-hash-array has 14,557 terms in all.
% 10.98/11.16 ; Feature-vector-row-index has 4,279 entries (4,279 at peak, 4,366 added, 87 deleted).
% 10.98/11.16 ; Feature-vector-row-index has 24,435 nodes (24,435 at peak, 25,070 added, 635 deleted).
% 10.98/11.16 ; Retrieved 77,881 possibly forward subsuming rows in 19,665 calls.
% 10.98/11.16 ; Retrieved 4,426 possibly backward subsumed rows in 4,366 calls.
% 10.98/11.16 ; Path-index has 14,297 entries (14,297 at peak, 14,606 added, 309 deleted).
% 10.98/11.16 ; Path-index has 29,975 nodes (29,975 at peak, 30,180 added, 205 deleted).
% 10.98/11.16 ; Trie-index has 14,297 entries (14,297 at peak, 14,606 added, 309 deleted).
% 10.98/11.16 ; Trie-index has 65,227 nodes (65,227 at peak, 66,314 added, 1,087 deleted).
% 10.98/11.16 ; Retrieved 550,357 generalization terms in 656,558 calls.
% 10.98/11.16 ; Retrieved 7,964 instance terms in 4,649 calls.
% 10.98/11.16 ; Retrieved 6,173,374 unifiable terms in 75,109 calls.
% 10.98/11.16 ;
% 10.98/11.16 ; The agenda of rows to process has 96 entries:
% 10.98/11.16 ; 28 with value 32 10 with value 35 4 with value 38
% 10.98/11.16 ; 16 with value 33 5 with value 36 1 with value 39
% 10.98/11.16 ; 27 with value 34 4 with value 37 1 with value 40
% 10.98/11.16 ; The agenda of input rows to give has 534 entries:
% 10.98/11.16 ; 72 with value 27 13 with value 38 12 with value 50
% 10.98/11.16 ; 39 with value 28 25 with value 39 3 with value 51
% 10.98/11.16 ; 28 with value 29 8 with value 40 1 with value 53
% 10.98/11.16 ; 25 with value 30 9 with value 41 4 with value 54
% 10.98/11.16 ; 43 with value 31 5 with value 42 3 with value 58
% 10.98/11.16 ; 53 with value 32 9 with value 43 2 with value 60
% 10.98/11.16 ; 62 with value 33 23 with value 45 1 with value 62
% 10.98/11.16 ; 9 with value 34 2 with value 46 1 with value 64
% 10.98/11.16 ; 27 with value 35 10 with value 47 1 with value 67
% 10.98/11.16 ; 11 with value 36 14 with value 48 2 with value 71
% 10.98/11.16 ; 12 with value 37 5 with value 49
% 10.98/11.16 ; The agenda of rows to give has 6863 entries:
% 10.98/11.16 ; 3 with value (4 4) 211 with value (4 28) 9 with value (4 51)
% 10.98/11.16 ; 161 with value (4 6) 186 with value (4 29) 16 with value (4 52)
% 10.98/11.16 ; 25 with value (4 7) 188 with value (4 30) 11 with value (4 53)
% 10.98/11.16 ; 52 with value (4 8) 178 with value (4 31) 19 with value (4 54)
% 10.98/11.16 ; 32 with value (4 9) 175 with value (4 32) 25 with value (4 55)
% 10.98/11.16 ; 84 with value (4 10) 150 with value (4 33) 2 with value (4 56)
% 10.98/11.16 ; 123 with value (4 11) 88 with value (4 34) 2 with value (4 57)
% 10.98/11.16 ; 171 with value (4 12) 72 with value (4 35) 7 with value (4 58)
% 10.98/11.16 ; 207 with value (4 13) 96 with value (4 36) 3 with value (4 59)
% 10.98/11.16 ; 243 with value (4 14) 77 with value (4 37) 1 with value (4 60)
% 10.98/11.16 ; 269 with value (4 15) 56 with value (4 38) 5 with value (4 61)
% 10.98/11.16 ; 237 with value (4 16) 92 with value (4 39) 4 with value (4 62)
% 10.98/11.16 ; 276 with value (4 17) 77 with value (4 40) 4 with value (4 63)
% 10.98/11.16 ; 222 with value (4 18) 38 with value (4 41) 10 with value (4 64)
% 10.98/11.16 ; 276 with value (4 19) 39 with value (4 42) 7 with value (4 66)
% 10.98/11.16 ; 318 with value (4 20) 46 with value (4 43) 2 with value (4 67)
% 10.98/11.16 ; 228 with value (4 21) 49 with value (4 44) 30 with value (4 68)
% 10.98/11.16 ; 252 with value (4 22) 34 with value (4 45) 4 with value (4 70)
% 10.98/11.16 ; 279 with value (4 23) 40 with value (4 46) 1 with value (4 71)
% 10.98/11.16 ; 395 with value (4 24) 25 with value (4 47) 3 with value (4 74)
% 10.98/11.16 ; 258 with value (4 25) 32 with value (4 48) 6 with value (4 80)
% 10.98/11.16 ; 384 with value (4 26) 25 with value (4 49) 1 with value (4 89)
% 10.98/11.16 ; 209 with value (4 27) 13 with value (4 50)
% 10.98/11.16 Evaluation took:
% 10.98/11.16 10.663 seconds of real time
% 10.98/11.16 9.836649 seconds of user run time
% 10.98/11.16 0.825955 seconds of system run time
% 10.98/11.16 [Run times include 1.147 seconds GC run time.]
% 10.98/11.16 0 calls to %EVAL
% 10.98/11.16 0 page faults and
% 10.98/11.16 760,181,416 bytes consed.
% 10.98/11.16 :PROOF-FOUND
% 10.98/11.16 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T19:22:16
% 10.98/11.16 :PROOF-FOUND
% 10.98/11.16 *
%------------------------------------------------------------------------------