TSTP Solution File: ALG340-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG340-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 18:00:35 EDT 2022
% Result : Unsatisfiable 0.55s 0.72s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 8 unt; 1 nHn; 10 RR)
% Number of literals : 21 ( 4 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 13 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_real__of__preal__zero__less_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__of__preal__zero__less_0) ).
cnf(cls_real__le__linear_0,axiom,
( c_lessequals(X,Y,tc_RealDef_Oreal)
| c_lessequals(Y,X,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__linear_0) ).
cnf(cls_norm__zero_0,axiom,
( ~ class_RealVector_Oreal__normed__vector(X)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X),X) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__zero_0) ).
cnf(cls_poly__0_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X)),Y,X) = c_HOL_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__0_0) ).
cnf(cls_less__le__not__le_1,axiom,
( ~ class_Orderings_Opreorder(X)
| ~ c_lessequals(Y,Z,X)
| ~ c_HOL_Oord__class_Oless(Z,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x(X),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
cnf(579,plain,
c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference('HYPERRESOLVE',[status(thm)],[cls_norm__zero_0,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(581,plain,
~ c_lessequals(c_RealDef_Oreal__of__preal(X),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference('UR-RESOLVE',[status(thm)],[cls_less__le__not__le_1,clsarity_RealDef__Oreal__Orderings_Opreorder,cls_real__of__preal__zero__less_0]) ).
cnf(600,plain,
c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference('HYPERRESOLVE',[status(thm)],[cls_poly__0_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0]) ).
cnf(601,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X,tc_RealDef_Oreal) ),
inference('REWRITE',[status(thm)],[cls_conjecture_1,579,600,theory(equality)]) ).
cnf(603,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[601,cls_real__le__linear_0,cls_real__of__preal__zero__less_0]),581]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG340-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n028.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 19:21:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T19:21:01
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-08T19:21:01
% 0.40/0.63 WARNING:
% 0.40/0.63 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.55/0.72
% 0.55/0.72
% 0.55/0.72 #||
% 0.55/0.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.72 % SZS output start Refutation
% See solution above
% 0.55/0.73 ||#
% 0.55/0.73
% 0.55/0.73 ; Summary of computation:
% 0.55/0.73 ; 917 formulas have been input or derived (from 187 formulas).
% 0.55/0.73 ; 603 (66%) were retained. Of these,
% 0.55/0.73 ; 13 ( 2%) were simplified or subsumed later,
% 0.55/0.73 ; 590 (98%) are still being kept.
% 0.55/0.73 ;
% 0.55/0.73 ; Run time in seconds excluding printing time:
% 0.55/0.73 ; 0.124 50% Read assertion file (1 call)
% 0.55/0.73 ; 0.007 3% Assert (552 calls)
% 0.55/0.73 ; 0.022 9% Process new row (835 calls)
% 0.55/0.73 ; 0.018 7% Resolution (372 calls)
% 0.55/0.73 ; 0.002 1% Paramodulation (186 calls)
% 0.55/0.73 ; 0.000 0% Factoring (3 calls)
% 0.55/0.73 ; 0.011 4% Condensing (473 calls)
% 0.55/0.73 ; 0.004 2% Forward subsumption (473 calls)
% 0.55/0.73 ; 0.007 3% Backward subsumption (418 calls)
% 0.55/0.73 ; 0.005 2% Clause clause subsumption (754 calls)
% 0.55/0.73 ; 0.011 4% Forward simplification (833 calls)
% 0.55/0.73 ; 0.004 2% Backward simplification (603 calls)
% 0.55/0.73 ; 0.000 0% Ordering (136 calls)
% 0.55/0.73 ; 0.001 0% Sortal reasoning (32 calls)
% 0.55/0.73 ; 0.001 0% Purity testing (1 call)
% 0.55/0.73 ; 0.029 12% Other
% 0.55/0.73 ; 0.246 Total
% 0.55/0.73 ; 0.248 Real time
% 0.55/0.73 ;
% 0.55/0.73 ; Term-hash-array has 702 terms in all.
% 0.55/0.73 ; Feature-vector-row-index has 408 entries (408 at peak, 418 added, 10 deleted).
% 0.55/0.73 ; Feature-vector-row-index has 1,071 nodes (1,082 at peak, 1,104 added, 33 deleted).
% 0.55/0.73 ; Retrieved 498 possibly forward subsuming rows in 473 calls.
% 0.55/0.73 ; Retrieved 749 possibly backward subsumed rows in 418 calls.
% 0.55/0.73 ; Path-index has 690 entries (690 at peak, 716 added, 26 deleted).
% 0.55/0.73 ; Path-index has 1,382 nodes (1,384 at peak, 1,412 added, 30 deleted).
% 0.55/0.73 ; Trie-index has 690 entries (690 at peak, 716 added, 26 deleted).
% 0.55/0.73 ; Trie-index has 1,788 nodes (1,800 at peak, 1,874 added, 86 deleted).
% 0.55/0.73 ; Retrieved 263 generalization terms in 923 calls.
% 0.55/0.73 ; Retrieved 231 instance terms in 186 calls.
% 0.55/0.73 ; Retrieved 6,821 unifiable terms in 859 calls.
% 0.55/0.73 ;
% 0.55/0.73 ; The agenda of rows to process has 6 entries:
% 0.55/0.73 ; 2 with value 9 4 with value 17
% 0.55/0.73 ; The agenda of input rows to give has 303 entries:
% 0.55/0.73 ; 1 with value 16 23 with value 24 2 with value 32
% 0.55/0.73 ; 10 with value 17 11 with value 25 4 with value 34
% 0.55/0.73 ; 17 with value 18 7 with value 26 8 with value 36
% 0.55/0.73 ; 4 with value 19 83 with value 27 5 with value 37
% 0.55/0.73 ; 31 with value 20 4 with value 28 17 with value 38
% 0.55/0.73 ; 20 with value 21 2 with value 29 9 with value 39
% 0.55/0.73 ; 1 with value 22 28 with value 30 9 with value 40
% 0.55/0.73 ; 1 with value 23 5 with value 31 1 with value 46
% 0.55/0.73 ; The agenda of rows to give has 101 entries:
% 0.55/0.73 ; 66 with value (4 6) 9 with value (4 12) 2 with value (4 15)
% 0.55/0.73 ; 3 with value (4 9) 1 with value (4 13) 1 with value (4 16)
% 0.55/0.73 ; 4 with value (4 10) 2 with value (4 14) 1 with value (4 21)
% 0.55/0.73 ; 12 with value (4 11)
% 0.55/0.73 Evaluation took:
% 0.55/0.73 0.248 seconds of real time
% 0.55/0.73 0.232375 seconds of user run time
% 0.55/0.73 0.01609 seconds of system run time
% 0.55/0.73 [Run times include 0.011 seconds GC run time.]
% 0.55/0.73 0 calls to %EVAL
% 0.55/0.73 0 page faults and
% 0.55/0.73 14,703,736 bytes consed.
% 0.55/0.73 :PROOF-FOUND
% 0.55/0.73 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T19:21:02
% 0.55/0.73 :PROOF-FOUND
% 0.55/0.73 *
%------------------------------------------------------------------------------